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1. Algebraic Logic Algebraic logic. Research staff. Hajnal Andréka, head of research division; Judit Madarász István Németi Ildikó Sain. Associated members http://www.renyi.hu/staff/alglog.html

Algebraic Logic Research staff Hajnal Andréka , head of research division Judit Madarász István Németi Ildikó Sain Associated members Miklós Ferenczi (BME) Ágnes Kurucz György Serény (BME) András Simon Doctoral students Bertalan Pécsi Gergely Székely Preprints of our group can be found here.

2. 03: Mathematical Logic And Foundations Algebraic logic studies logical systems via associated Algebraic structures. In particular, this is a convenient setting for the study of manyvalued logics http://www.math.niu.edu/~rusin/known-math/index/03-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 03: Mathematical logic and foundations Introduction Mathematical Logic is the study of the processes used in mathematical deduction. The subject has origins in philosophy, and indeed it is only by nonmathematical argument that one can show the usual rules for inference and deduction (law of excluded middle; cut rule; etc.) are valid. It is also a legacy from philosophy that we can distinguish semantic reasoning ("what is true?") from syntactic reasoning ("what can be shown?"). The first leads to Model Theory, the second, to Proof Theory. Students encounter elementary (sentential) logic early in their mathematical training. This includes techniques using truth tables, symbolic logic with only "and", "or", and "not" in the language, and various equivalences among methods of proof (e.g. proof by contradiction is a proof of the contrapositive). This material includes somewhat deeper results such as the existence of disjunctive normal forms for statements. Also fairly straightforward is elementary first-order logic, which adds quantifiers ("for all" and "there exists") to the language. The corresponding normal form is prenex normal form. In second-order logic, the quantifiers are allowed to apply to relations and functions to subsets as well as elements of a set. (For example, the well-ordering axiom of the integers is a second-order statement). So how can we characterize the set of theorems for the theory? The theorems are defined in a purely procedural way, yet they should be related to those statements which are (semantically) "true", that is, statements which are valid in every model of those axioms. With a suitable (and reasonably natural) set of rules of inference, the two notions coincide for any theory in first-order logic: the Soundness Theorem assures that what is provable is true, and the Completeness Theorem assures that what is true is provable. It follows that the set of true first-order statements is effectively enumerable, and decidable: one can deduce in a finite number of steps whether or not such a statement follows from the axioms. So, for example, one could make a countable list of all statements which are true for all groups.

3. Preprints Of The Algebraic Logic Dept. Hajnal Andréka, Steve Givant, Szabolcs Mikulás, István Németi and András Simon Notions of density that imply representability in Algebraic logic http://www.math-inst.hu/pub/algebraic-logic/Contents.html

Preprints of the Algebraic Logic Department Please note that this page (and the ftp site of the AL dept.) contains only a subset of the papers that are available electronically. If you know of a paper by a member of the dept., and would like to see it here, contact him/her. If you have problems retrieving a paper listed here, please let me know. Andreka, H., Madarasz, J. X. and Nemeti, I.: Logical axiomatizations of space-time. Samples from the literature (32pp) Abstract PostScript version PDF version Andreka, H. Madarasz, J. X. and Nemeti, I.: Logical analysis of relativity theories (30pp) Abstract PostScript version PDF version Madarasz, J. X. Nemeti, I. and Toke, Cs.: Generalizing the logic-approach to space-time towards general relativity: first steps (43pp) Abstract PostScript version PDF version next title.) (156pp) Abstract PostScript version PDF version Abstract ... Gzipped PostScript version of Part V6 (1026-1205pp, 1.23 MB) Gzipped PostScript version of Part V7 Gzipped PostScript version of Part VI Gzipped PostScript version of Part VII Abstract ... Abstract (currently unavailable) dvi version (currently unavailable) PostScript version (currently unavailable) PostScript version (local copy) (356KB) PDF version (local copy) (245KB) Gzipped PostScript version (5.8MB, big file!)

4. Abstract Algebraic Logic - Wikipedia, The Free Encyclopedia Abstract Algebraic logic, (AAL) is the field of mathematical logic that studies the ways in which classes of algebras may be associated with logical systems http://en.wikipedia.org/wiki/Abstract_algebraic_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia"; Abstract algebraic logic From Wikipedia, the free encyclopedia Jump to: navigation search Abstract algebraic logic, (AAL) is the field of mathematical logic that studies the ways in which classes of algebras may be associated with logical systems and how these classes of algebras interact with the logical systems. Contents Overview Examples See also References ... edit Overview The archetypal association of this kind, one fundamental to the historical origins of algebraic logic and lying at the heart of all subsequently developed subtheories, is the association between the class of Boolean algebras and classical propositional calculus . This association was discovered by George Boole in the , and refined by others, especially Ernst Schroder in the . This work culminated in Lindenbaum-Tarski algebras , devised by Alfred Tarski and his student Adolf Lindenbaum in the Classical algebraic logic, which comprises all work in algebraic logic until about , studied the properties of specific classes of algebras used to "algebraize" specific logical systems of particular interest to specific logical investigations. Generally, the algebra associated with a logical system was found to be a type of

5. Ian Hodkinson: Algebraic Logic Games in Algebraic logic axiomatisations and beyond R. Hirsch and I. Hodkinson in Stefan Bold, Benedikt Löwe, Thoralf Räsch, Johan van Benthem (eds. http://www.doc.ic.ac.uk/~imh/frames_website/AL.html

Algebraic logic Go to home page Much of my research in this area has been joint with Robin Hirsch The recently-published book on relation algebras was jointly written with him. See Links Some open problems Brief outline of area Surveys Games in algebraic logic: axiomatisations and beyond R. Hirsch and I. Hodkinson in: Foundations of the Formal Sciences V, Infinite Games , Studies in Logic 11, College Publications, London, 2007, to appear, pages 157-185. Slides for lectures at The Third International Tbilisi Symposium on Language, Logic and Computation, Batumi, Georgia, September 1999. A gentle introduction to some aspects of relation algebras. Article version available in the proceedings Games in algebraic logic R. Hirsch and I. Hodkinson Proc. 11th Amsterdam Colloquium, P Dekker, M Stokhof, Y Venema (eds), ILLC/Department of Philosophy, Universiteit van Amsterdam, 1997, pp. 7-12. Connections between cylindric algebras and relation algebras R. Hirsch and I. Hodkinson RelMiCS, Warszawa, 1998.

6. Algebraic Logic Algebraic logic. There is little that is surprising to be said about the Algebraic aspect of Watson. All theorems in a Watson theory are equations, http://math.boisestate.edu/~holmes/babydocs/node4.html

Next: Definition by cases Up: The Logic of Watson Previous: The Logic of Watson Algebraic logic There is little that is surprising to be said about the algebraic aspect of Watson. All theorems in a Watson theory are equations, implicitly universally quantified over their free variables. We exhibit a set of formal axioms for equational logic which are supported by Watson: reflexivity: A A is an axiom for any term A symmetry: if A B is a theorem, then B A is a theorem. transitivity: if A B is a theorem and B C is a theorem, then A C is a theorem. We introduce notation A T x ] for the result of substituting the term T for the free variable x in the term A . A formal analysis of substitution will be needed later when abstraction is considered. substitution: if A B is a theorem, then C A x C B x ] is a theorem. generality: if A B is a theorem, then A C x B C x ] is a theorem. This logic of equations is familiar to all of us from high school algebra, though its formal study is not entirely trivial. The path not taken here leads to the more usual approach to logic in which propositions rather than terms are taken as basic and propositional connectives and quantifiers are logical primitives. In Watson, the propositional connectives and quantifiers are not logical primitives: they can be defined in terms of the logical primitives of Watson (definition by cases and abstraction) or they can be introduced as user-defined primitives in a Watson theory. Next: Definition by cases Up: The Logic of Watson Previous: The Logic of Watson Randall Holmes

7. Propositional Consequence Relations And Algebraic Logic (Stanford Encyclopedia O Algebraic logic can be described in very general terms as the discipline that studies logics by associating with them classes of algebras, http://plato.stanford.edu/entries/consequence-algebraic/

Cite this entry Search the SEP Advanced Search Tools ... Please Read How You Can Help Keep the Encyclopedia Free Propositional Consequence Relations and Algebraic Logic First published Tue 19 Dec, 2006 George Boole was the first to present logic as a mathematical theory in algebraic style. In his work, and in that of the other algebraists of the algebraic tradition of logic of the nineteenth century the distinction between a formal language and a mathematically rigorous semantics for it was still not drawn. What the algebraists in this tradition did was to build algebraic theories (of Boolean algebras, and relation algebras) with among other interpretations a logical one. The works of Frege and Russell introduced a different perspective on the way to approach logic. In those works a logic system was given by a formal language and a deductive calculus, namely a set of axioms and a set of inference rules. Let us call such a pair a logical deduction system , and the formulas derivable in the calculus the theorems of the system (nowadays it is common practice to call this kind of calculi Hilbert style calculi). In Frege and Russell's approach a formal (mathematical) semantics of whatever kind (algebraic, model-theoretic, etc.) for the formal languages they used was lacking. The only semantics present was of an intuitive informal kind.

8. Algebraic Logic Functional Language Algebraic logic Functional language. language (ALF) A language by Rudolf Opalla opalla@julien.informatik.unidortmund.de which combines functional http://burks.brighton.ac.uk/burks/foldoc/30/4.htm

The Free Online Dictionary of Computing ( http://foldoc.doc.ic.ac.uk/ dbh@doc.ic.ac.uk Previous: Algebraic Interpretive Dialogue Next: Algebraic Manipulation Package Algebraic Logic Functional language language which combines functional programming and logic programming techniques. ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming , and functions and equations for functional programming . Any functional expression can be used in a goal literal and arbitrary predicates can occur in conditions of equations. ALF uses narrowing and rewriting. ALF includes a compiler to Warren Abstract Machine code and run-time support FTP ["The Implementation of the Functional-Logic Language ALF", M. Hanus and A. Schwab].

9. Algebraic Logic - Elsevier 19th Century Roots of Algebraic logic and Universal Algebra. Relation Algebra and logic of Programs. Structural Completeness in Algebra and logic. http://www.elsevier.com/wps/product/librarians/523236

Home Site map Elsevier websites Alerts ... Algebraic Logic Book information Product description Author information and services Ordering information Bibliographic and ordering information Conditions of sale Book-related information Submit your book proposal Other books in same subject area About Elsevier Select your view ALGEBRAIC LOGIC Edited by J.D. Monk Included in series Colloquia Mathematica Societatis Janos Bolyai, 54 Description Contents Hardbound, ISBN: 0-444-88543-9, vi + 746 pages, publication date: 1991 Imprint: NORTH-HOLLAND Books and book related electronic products are priced in US dollars (USD), euro (EUR), and Great Britain Pounds (GBP). USD prices apply to the Americas and Asia Pacific. EUR prices apply in Europe and the Middle East. GBP prices apply to the UK and all other countries. See also information about , and links to our regional sales offices Last update: 11 Dec 2007 Scroll(200, 120, 120,'Out of print'); Book contents Table of contents Reviews Submit your review Bookmark this page Recommend this publication Overview of all books ... Feedback A Reed Elsevier company Elsevier B.V.

10. Algebraic Logic And Universal Algebra In Computer Science 1988 @proceedings{DBLPconf/aluacs/1988, editor = {Clifford Bergman and Roger D. Maddux and Don Pigozzi}, title = {Algebraic logic and Universal Algebra in http://www.informatik.uni-trier.de/~ley/db/conf/aluacs/aluacs1988.html

Algebraic Logic and Universal Algebra in Computer Science 1988: Ames, Iowa, USA Clifford Bergman Roger D. Maddux Don Pigozzi (Eds.): Algebraic Logic and Universal Algebra in Computer Science, Conference, Ames, Iowa, USA, June 1-4, 1988, Proceedings. Lecture Notes in Computer Science 425 Springer 1990, ISBN 3-540-97288-9 BibTeX DBLP Invited Papers : Relatively free relation algebras. 1-14 BibTeX Joel Berman : The value of free algebras. 15-26 BibTeX H. Peter Gumm : Continuations of logic programs. 27-36 BibTeX : On cylindric algebraic model theory. 37-75 BibTeX Vaughan R. Pratt : Dynamic algebras as a well-behaved fragment of relation algebras. 77-110 BibTeX Eric G. Wagner : All recursive types defined using products and sums can be implemented using pointers. 111-132 BibTeX Contributed Papers Isidore Fleischer : The abstract Galois theory: a survey. 133-137 BibTeX : The implications in conditional logic. 139-159 BibTeX Lawrence S. Moss Satish R. Thatte : Optimal semantics of data type extensions. 161-180 BibTeX G. C. Nelson : Other logics for (equational) theories. 181-194 BibTeX Ivo G. Rosenberg

11. Algebraic Logic Functional Language - Definitions From Dictionary.com Definitions of Algebraic logic Functional language at Dictionary.com. http://dictionary.reference.com/browse/Algebraic Logic Functional language

var pid = 22922; var nid = 22964; var mid = 679788; var word = 'Algebraic%20Logic%20Functional%20language'; SafeAddOnload(init_near); Premium Content Register Log In Help ... The Web Advertisement 1 result for: Algebraic Logic Functional language Browse Nearby Entries algebraic algebraic data type algebraic equation ... Wolfram.com/Mathematica Sponsored Links MA in teaching, math www.WGUinfo.com Free On-line Dictionary of Computing Cite This Source ... Share This Algebraic Logic Functional language language (ALF) A language by Rudolf Opalla which combines functional programming and logic programming techniques. ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming , and functions and equations for functional programming . Any functional expression can be used in a goal literal and arbitrary predicates can occur in conditions of equations. ALF uses narrowing and rewriting ALF includes a compiler to Warren Abstract Machine code and run-time support ftp://ftp.germany.eu.net/pub/programming/languages/LogicFunctional ["The Implementation of the Functional-Logic Language ALF", M. Hanus and A. Schwab]. Algebra Made Easy Find Your Algebra Solution With A Proven Algebra System www.MathMadeEasy.com

12. 03Gxx Algebraic logic 03G25 Other algebras related to logic See also 03F45, 06D20, 06E25, 06F35; 03G30 Categorical logic, topoi See also 18B25, 18C05, http://www.ams.org/msc/03Gxx.html

Home MathSciNet Journals Books ... Contact Us 201 Charles Street Providence, RI 02904 USA Phone: 401-455-4000 or 800-321-4AMS Or email us at ams@ams.org Open Positions Algebraic logic 03G05 Boolean algebras [See also 03G10 Lattices and related structures [See also 03G12 Quantum logic [See also 03G15 Cylindric and polyadic algebras; relation algebras 03G20 Lukasiewicz and Post algebras [See also 03G25 Other algebras related to logic [See also 03G30 Categorical logic, topoi [See also 03G99 None of the above, but in this section Comments: webmaster@ams.org Privacy Statement , American Mathematical Society

13. Algebraic Logic@Everything2.com (Let me start off by saying that I ve yet to meet a mathematician who can clearly and formally define Algebraic logic. I ll try anyway ) http://everything2.com/index.pl?node_id=1113709

14. Categorical Abstract Algebraic Logic: Categorical Algebraization Of Equational L This paper deals with the algebraization of multisignature equational logic in the context of the modern theory of categorical abstract Algebraic logic. http://jigpal.oxfordjournals.org/cgi/content/abstract/12/4/313

@import "/resource/css/hw.css"; @import "/resource/css/igpl.css"; Skip Navigation Oxford Journals Contact Us My Basket ... Volume 12, Number 4 Pp. 313-333 Logic Journal of IGPL 2004 12(4):313-333; doi:10.1093/jigpal/12.4.313 Oxford University Press This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to My Personal Archive ... Request Permissions Google Scholar Articles by Voutsadakis, G. Search for Related Content Categorical Abstract Algebraic Logic: Categorical Algebraization of Equational Logic George Voutsadakis School of Mathematics and Computer Science, Lake Superior State University, 650 W. Easterday Avenue, Sault Sainte Marie, MI 49783, USA. E-mail: This paper deals with the algebraization of multi-signature equational logic in the context of the modern theory of categorical abstract algebraic logic. Two are the novelties compared to traditional treatments: First, interpretations between different

15. RasiowaAlgebraicLogic.htm The study of the relationship between logic and algebra, originated by the work of Her research work on Algebraic logic was aimed at finding a precise http://www.mimuw.edu.pl/~mrr/Rasiowa/RasiowaAlgebrLogic/RasiowaAlgebraicLogic.ht

HELENA RASIOWA, 1917 - 1994 by Algebraic Logic Rasiowa's first monograph The Mathematics of Metamathematics ([31]) written jointly with R.Sikorski, contains a comprehensive survey of algebraic theories of logical calculi. Algebraization is applied to classical, intuitionistic, modal and positive logics. The book focuses on metalogical theorems on the predicate calculi of these logics and on an investigation of elementary theories based on them. The main idea underlying the concept of associating algebraic systems with logical calculi is the following: Let be a first order language such that is its set of individual variables, are the binary propositional connectives of is a unary propositional connective and are the quantifiers of Let be a complete algebra such that are binary operations, is a unary operation and and are infinitary operations the common domain of which is the class of all nonempty subsets of By a realization of the language in a nonempty set and in the algebra we mean any mapping which assigns a function to each function symbol of and a function to any predicate symbol of The realization is then extended to all the terms and all the formulas of Let be a valuation of individual variables in a set Then we define: for any individual variable where and for all where is as above.

16. OUP: UK General Catalogue It is aimed primarily for logisticians in mathematics, philosophy, computer science and linguistics with an interest in Algebraic logic, http://www.oup.com/uk/catalogue/?ci=9780198531920

17. IngentaConnect Independence Results In Algebraic Logic We formulate several statements in Algebraic logic that turn out to be independent of ZFC. We relate such statements to Martin s axiom, omitting types for http://www.ingentaconnect.com/content/oup/igpl/2006/00000014/00000001/art00087

var tcdacmd="dt"; Home About Ingenta Ingenta Labs Ingenta Blog ... Check our FAQs Or contact us to report problems with: Subscription access Article delivery Registration Library administrator tasks ... Other problems For Publishers Why go online? Why choose IngentaConnect? Beyond Print: enhancing your service Access and authentication ... Contact us For Researchers For Authors About IngentaConnect Search and browse Publications available ... Register For Librarians Resource Zone Why choose IngentaConnect? Why choose IngentaConnect Complete? Activating Subscriptions ... Register CM8ShowAd("HorizontalBanner"); Independence Results in Algebraic Logic Author: Sayed-Ahmed, Tarek Source: Logic Journal of the IGPL , Volume 14, Number 1, 15 January 2006 , pp. 87-96(10) Publisher: Oxford University Press view table of contents Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Abstract: We formulate several statements in Algebraic Logic that turn out to be independent of ZFC . We relate such statements to Martin's axiom, omitting types for variants of first order logic and topological properties of Baire spaces.

18. Applications Of Algebraic Logic And Universal Algebra To Computer Science. A fourday conference was held at Iowa State University oriented around the topics stated in the project title. Approximately 80 people attended the http://stinet.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA

19. Book Universal Algebra,, Algebraic Logic And Databases (mathematics And Its Appl book undergraduate level (part ii) engineering colleges et apllied maths for other disciplines this volume is devoted to the development of an Algebraic http://www.lavoisier.fr/notice/gb031086.html

Search on All Book CD-Rom eBook Software The french leading professional bookseller Description Approximate price Universal algebra,, algebraic logic and databases (Mathematics and its applications 272) Author(s) : PLOTKIN Publication date : 02-1994 Language : ENGLISH Status : In Print (Delivery time : 10 days) Description Summary Preface. Introduction: 0. General View on Objectives and Contents of the Book. I: Universal Algebra. 1. Sets, Algebras, Models. 2. Fundamental Structures. 3. Categories. 4. The Categories of Sets. Topoi. Fuzzy Sets. 5. Varieties of Algebras. Axiomatizable Classes. 6. Category Algebra and Algebraic Theories. II: Algebraic Logic. 7. Boolean Algebras and Propositional Calculus. 8. Halmos Algebras and Predicate Calculus. 9. Specialized Halmos Algebras. 10. Connections with Model Theory. 11. The Categorial Approach to Algebraic Logic. III: Databases Algebraic Aspects. 12. Algebraic Model of a Database. 13. Equivalence and Reorganization of Databases. 14. Symmetries of Relations and Galois Theory of Databases. 15. Constructions in Database Theory. 16. Discussion and Conclusion. Bibliography. Index. Subject areas covered: Mathematics and physics Algebra analysis geometry Undergraduate level (part ii) - engineering colleges Mathematics and physics Applied maths and statistics Apllied maths for other disciplines New search Your basket Information New titles BiblioAlerts E-books Customer services Open an account Ordering non-listed items Order tracking Help Lavoisier.fr

20. An Abstract Algebraic Logic View Of Some Multiple-valued Logics Font, J. M., and Verdú, V. Algebraic logic for classical conjunction and disjunction. Studia logica, Special Issue on Algebraic logic 50 (1991), 391419 http://portal.acm.org/citation.cfm?id=871472.871475

21. 6th Panhellenic Logic Symposium :: Invited Lectures Algebraic logic studies classes of algebras that are related to logical systems, as well as the process by which a class of algebras becomes the Algebraic http://pls6.pre.uth.gr/invitedl.php

6th Panhellenic Logic Symposium Volos, Greece, 5-8 July 2007 Invited Lectures Ayse Berkman (Middle East Technical University): Groups of Finite Morley Rank I shall make a quick introduction to the subject, give examples and present the Borovik program that shaped around the main conjecture of the area: Algebraicity Conjecture An infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. In the second half of my talk, I shall present some recent results from the study of groups of finite Morley rank with pseudoreflection subgroups: If G acts on an abelian group V , with an infinite definable connected abelian subgroup R such that V V R C V R ) and R acts transitively on the non-zero elements of [ V R ], then R is called a pseudoreflection subgroup of G Stuart Barry Cooper (University of Leeds): The Interactive Structure of Information: Post's Program Revisited Computability theory concerns information with a causal structure. As such, it provides a schematic analysis of many naturally occurring situations. Emil Post was the first to focus on the close relationship between information, coded as real numbers, and its algorithmic infrastructure. Having characterized the close connection between the quantifier type of a real and the Turing jump operation, he looked for more subtle ways in which information entails a particular causal context. Specifically, he wanted to find simple relations on reals which produced richness of local computability-theoretic structure. To this extent, he was not just interested in causal structure as an abstraction, but in the way in which this structure emerges in natural contexts. "Post's program" was the genesis of a more far reaching research project.

22. JSTOR Studies In Algebraic Logic. Connections between combinatorial theory and Algebraic logic. Ibid., pp. 5891. HELENA RASIOWA. Post algebras as a semantic foundation of m-valued logics. http://links.jstor.org/sici?sici=0022-4812(197803)43:1<145:SIAL>2.0.CO;2-Z

23. Algebraic Logic. Text - Physics Forums Library Archive Algebraic logic. Set Theory, logic, Probability, Statistics. http://www.physicsforums.com/archive/index.php/t-118020.html

Physics Help and Math Help - Physics Forums Mathematics Set Theory, Logic, Probability, Statistics PDA View Full Version : algebraic logic. loop quantum gravity i searched at amazon for books, and find some books about this topic, and i wonder what does this topic cover? in one book it states that:"The main theme is that standard algebraic results (representations) translate into standard logical results (completeness). " ok i understand what completeness is, but what does it have to do with (if i'm right here) represntation theory of groups (unless there are other representations)? and the book also says that it covers:"...gaggles, distributoids, partial- gaggles, and tonoids", what are they? (i tried wiki and mathworld and didn't find anything about them). here's a link to the book: http://www.oup.co.uk/isbn/0-19-853192-3 Hurkyl I know part of what the book is doing I'm a little familiar with universal algebra. Universal algebra is an approach that can study many diverse kinds of algebraic structures simultaneously, such as: groups, abelian groups, rings, modules over a ring, vector spaces over a particular field, algebraic lattices, algebras over a ring, representations of a discrete group acting on a vector space over a particular field, etc.

24. [math/0312485] Algebraic Geometry In First Order Logic The first part (sections 24) contains background on Algebraic logic in the given variety of algebras $\Theta$. The second part is devoted to Algebraic http://arxiv.org/abs/math/0312485

arXiv.org math Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Full-text links: Download: PostScript PDF Other formats Citations CiteBase p revious n ... ext Mathematics > General Mathematics Title: Algebraic geometry in First Order Logic Authors: B. Plotkin (Submitted on 29 Dec 2003) Abstract: In this paper the FOL formulae are considered in the context of algebraic logic. Comments: Subjects: General Mathematics (math.GM) ; Logic (math.LO) MSC classes: Cite as: arXiv:math/0312485v1 [math.GM] Submission history From: Plotkin Boris [ view email Mon, 29 Dec 2003 14:36:59 GMT (68kb) Which authors of this paper are endorsers? Link back to: arXiv form interface contact

25. Challenging Imperative Programming With Algebra, Logic And Functions The challenge is to integrate Algebraic, logic and functional programming into a paradigm that can beat imperative programming. This is an old goal, http://www.cwi.nl/~jve/problem5

Challenging Imperative Programming with Algebra, Logic and Functions Jan van Eijck Abstract The challenge is to integrate algebraic, logic and functional programming into a paradigm that can beat imperative programming. This is an old goal, and many have lost faith that it can be achieved. However, there are signs that due to leaps in system complexity and the intricacies of concurrency the (in)famous von Neumann bottleneck is turning into a real limitation on what imperative programming can achieve. Introduction ``How much land does a man need?'' asked Lev Tolstoi, and the answer turned out to be: surprisingly little. ``How many programming languages does a software designer need?'' The answer seems to be: surprisingly many. See below. Of course, well-designed languages are a key to good software design, but while many well designed languages are available (see below), the problem of ill-designed software persists. Why is this so? A refreshing concept for software design is being puth forth at Praxis High Integrity Systems (IEEE Spectrum Software Report ``The Exterminators'', September 2005), but it is nothing new. Years ago, that was the way software was developed. Programmers actually designed their programs - remember flowcharts ? - and wrote ``pseudocode'' before ever beginning to write code. Why has that changed? For the last 20 years, the goal has been to make programming easier and easier by supplying ever more powerful tools - compilers, Visio, programming packages, workbenches, and so on - and by creating higher-level and more abstract languages. Theoretically, these tools should have made the output better, and, used correctly, they would have. Instead, the innovations made programming and coding so easy that literally anyone can write code. Not well-structured code or bug-free code - just code.

26. Categorical Abstract Algebraic Logic - What Does CAAL Stand For? Acronyms And Ab What does CAAL stand for? Definition of Categorical Abstract Algebraic logic in the list of acronyms and abbreviations provided by the Free Online http://acronyms.thefreedictionary.com/Categorical Abstract Algebraic Logic

Domain='thefreedictionary.com' word='CAAL' Printer Friendly 728,391,542 visitors served. TheFreeDictionary Google Word / Article Starts with Ends with Text subscription: Dictionary/ thesaurus Medical dictionary Legal dictionary Financial dictionary Acronyms Idioms Encyclopedia Wikipedia encyclopedia Hutchinson encyclopedia CAAL (redirected from Categorical Abstract Algebraic Logic 0.04 sec. Acronym Definition CAAL Calidris Alba (Sanderling) CAAL California Academy of Appellate Lawyers CAAL Callirhoe Alcaeoides (light poppymallow) CAAL Canadian Alumni Association of Lebanon CAAL Canadian Association of Applied Linguistics CAAL Canam Academy of Advanced Learning (India) CAAL Canonical Abbreviation/Acronym List CAAL Categorical Abstract Algebraic Logic CAAL Catophractes Alexandri CAAL Centro Automazione Analisi Linguistica CAAL Child/Adolescent Activity Log CAAL Chinese American Association of Lexington (Lexington, MA) CAAL Chinese Association of Arabic Literature CAAL Citizens for Alternatives to Animal Labs, Inc. CAAL Coalition Against Abusive Lending CAAL COMOPTEVFOR Acronym and Abbreviation List (US Navy) CAAL Computational Aspects of Applied Linguistics CAAL Computer-Aided Acquisition and Logistics CAAL Computer-Aided Adult Learning CAAL Computers and Ancient Languages CAAL Concrete and Aggregates Association of Louisiana (Baton Rouge, LA)

27. FWD: Call For Papers: Algebraic Methodology And Software Technology During the previous three meetings, AMAST has attracted researchers and practitioners interested in algebra, logic, formal methods, specification and http://nms.lcs.mit.edu/Larch/archive/msg00091.html

[Prev] [Next] [Index] FWD: Call for Papers: Algebraic Methodology and Software Technology To : larch-interest Subject : FWD: Call for Papers: Algebraic Methodology and Software Technology From : horning Date : Thu, 21 Apr 94 15:16:07 -0700 Cc : horning Delivery-Date : Thu, 21 Apr 94 15:17:35 -0700 Prev: Package or class specification Next: Re: Larch name Index: Larch archive index

28. Doctorate In Logic And Foundations Of Mathematics e) Algebraic logic. (4 credits). Prof. Josep Maria Font f) Automatic deduction. (4 credits). Raimon Elgueta (UPC) Algebraic logic, computational logic. http://www.ub.es/logica/doct/doctLFM-eng.htm

Ph. D. Program Logic and Foundations of Mathematics The goal of the program is to train researchers in Logic and closely related topics. Our plan is first to provide the basic training that any logician must have and then to develop the research skills of the students by centering the training on the topics where the groups participating in the Program have their research, namely: Algebraic Logic, Many-valued Logics and Non-classical Logics in general, Model Theory, Philosophy of Mathematics, and Set Theory. The Ph. D. dissertations should correspond to one of these topics. This Program is organized by the Departament of Logic, History and Philosophy of Science of the Universitat de Barcelona (UB), with the collaboration of the Departament of Applied Mathematics II of the (UPC), of the Research Institute in Artificial Intelligence of the (IIIA-CSIC) and of the (ICREA). This Program has received a Quality Award from the Spanish Ministry of Education and Science (Official Journal "BOE" 5/7/2004) Organization of the studies The first period of the program consists of two years of training before the student is allowed to start the research on the Ph. D. dissertation. During the

29. Categorical Abstract Algebraic Logic Models Of -Institutions Keywords abstract Algebraic logic; deductive systems; institutions; . 17 Voutsadakis, G., Categorical Abstract Algebraic logic, Ph.D. thesis, http://projecteuclid.org/handle/euclid.ndjfl/1134397662

Log in RSS Title Author(s) Abstract Subject Keyword All Fields FullText more options Home Browse Search ... next George Voutsadakis Source: Notre Dame J. Formal Logic Volume 46, Number 4 (2005), 439-460. Abstract Primary Subjects: Secondary Subjects: Keywords: abstract algebraic logic; deductive systems; institutions; equivalent deductive systems; algebraizable deductive systems; adjunctions; equivalent institutions; algebraizable institutions; Leibniz congruence; Tarski congruence; algebraizable sentential logics Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text Alternatively, the document is available for a cost of $20. Select the "buy article" button below to purchase this document from a secured VeriSign, Inc. site. Links and Identifiers Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1134397662

30. Salibra/papers.html Workshop on Abstract Algebraic logic, Bellaterra, Spain, July 15, 1997. (J. Font, R. Jansana, D. Pigozzi eds.), CRM Quaderns num. 10/gener 1998, pp. http://www.dsi.unive.it/~salibra/papersnino.html

Antonino Salibra Papers 2000-2007 Applying Universal Algebra to Lambda Calculus. G. Manzonetto and A. Salibra. In preparation Boolean algebras and lambda calculus. A. Salibra. International Conference on Algebraic and Topological Methods in Non-Classical Logics III (TANCL'07), St Anne's College, University of Oxford, Oxford, England, August 5-9, 2007. Abstract(pdf) Slides(pdf) Algebra and topology in lambda calculus. A. Salibra. Plenary Presentation at International Conference on Order, Algebra and Logics, Vanderbilt University, Nashville, USA, June 12-17, 2007. Abstract(pdf) Slides(pdf) Lambda theories of effective lambda models. C. Berline, G. Manzonetto and A. Salibra. 16th EACSL Annual Conference on Computer Science and Logic (CSL'07), 11-15 September 2007, Lausanne, Switzerland Paper(pdf) Graph lambda theories. A. Bucciarelli and A. Salibra. Mathematical Structures in Computer Science 200? (to appear) Paper(pdf) Boolean algebras for lambda calculus. G. Manzonetto and A. Salibra. 21st Annual IEEE Symposium on Logic in Computer Science (LICS'06), Seattle, Washington, Usa, August 12th-15th, 2006. Paper(pdf) The sensible graph theories of lambda calculus.

31. Amsterdam-London Workshop On Modal Logic 2006 10.1511.15 Algebraic logic I (Chair Nick Bezhanishvili). Complete congruences of up-set lattices Mai Gehrke; Relation Algebra Reducts of Cylindric http://staff.science.uva.nl/~nbezhani/workshop/

Amsterdam-London Workshop on Modal Logic 2006 Date: 16 March 2006 Location: Room I.401, Nieuwe Achtergracht 170, Amsterdam Speakers: Johan van Benthem (University of Amsterdam) Topology and Modal Logic: Space for Knowledge Guram Bezhanishvili (New Mexico State University) Completions and Compactifications Balder ten Cate (University of Amsterdam) Beth Definability in Modal Logic Revisited Mai Gehrke (New Mexico State University) Complete congruences of up-set lattices Robin Hirsch (University College London) Relation Algebra Reducts of Cylindric Algebras and Complete Representations Ian Hodkinson (Imperial College London) Modal Logics of Elementary Classes of Kripke Frames via Hybrid Logic Roman Kontchakov (Birkbeck College London) On Dynamic Topological Logics Alexander Kurz (University of Leicester) Relating Algebras on Ind and Pro Completions Szabolcs Mikulas (Birkbeck College London) Axiomatizing Temporal Epistemic Logic Mikhail Sheremet (Birkbeck College London) On the logic of comparative similarity Yde Venema (University of Amsterdam) Topo-roots and monoliths Contact: Nick Bezhanishvili nbezhani@science.uva.nl

32. Categorical Abstract Algebraic Logic: The Diagram And The Reduction Operator Lem Información del artículo Categorical abstract Algebraic logic The Diagram and the Reduction Operator Lemmas. http://dialnet.unirioja.es/servlet/articulo?codigo=2280662

33. Algebraic Logic Functional Language From FOLDOC Nearby terms Algebraic « Algebraic data type « Algebraic Interpretive Dialogue « Algebraic logic Functional language » Algebraic Manipulation Package http://foldoc.org/?Algebraic Logic Functional language

34. Atlas: Tarskian Algebraic Logic By Tarek Sayed Ahmed This is a survey talk on Algebraic logic. It gives a historical background leading up to a modern perspective. Central problems in Algebraic logic (like the http://atlas-conferences.com/cgi-bin/abstract/caqb-56

Atlas home Conferences Abstracts about Atlas Logic in Hungary, 2005 August 5-10, 2005 Janos Bolyai Mathematical Society Budapest, Hungary Organizers A. Hajnal, J. Suranyi (honorary chair) H. Andreka, I. Juhasz, P. Komjath, I. Nemeti (co-chair) G. Sagi (secretary) L. Csirmaz, M. Ferenczi, M. Redei, I. Sain, L. Soukup (member) View Abstracts Conference Homepage Tarskian Algebraic Logic by Tarek Sayed Ahmed University of Cairo, Egypt This is a survey talk on algebraic logic. It gives a historical background leading up to a modern perspective. Central problems in algebraic logic (like the representation problem) are discussed in connection to other branches of logic, like modal logic, proof theory, model-theoretic forcing and Godel's incompleteness results. Several open problems are posed. We focus on cylindric algebras which are natural algebras of n-ary relations. Relation algebras (which are algebras of binary relation) are mostly only covered insofar as they relate to cylindric algebras. Cylindric and relation algebras were introduced by Tarski, hence the title of the talk. Date received: July 8, 2005

35. Libra: Algebraic Logic And Universal Algebra In Computer Science - Algebraic Log Algebraic logic and Universal Algebra in Computer Science, Conference, Ames, Iowa, USA, June 14, 1988, Proceedings(1990) (citation3) http://libra.msra.cn/ConferenceDetail.aspx?id=1035

36. UNIVERSAL ALGEBRA, ALGEBRAIC LOGIC AND DATABASES By BORIS PLOTKIN THE CATEGORIAL APPROACH TO Algebraic logic Relation algebras Notes on quantifiers Definition of relation algebras Another approach Relational algebras http://www.mmsysgrp.com/plotkin.htm

UNIVERSAL ALGEBRA, ALGEBRAIC LOGIC AND DATABASES by BORIS PLOTKIN (Kluwer Academic Press,1994) return to Mathematical Structures Group

37. Algebraic Logic Everyone else in my class is confused about the Algebraic logic and the teacher just isn t explaining it like she should. What can I do? http://www.algebra-answer.com/algebra-helper/algebraic-logic.html

@import url("images/styles.css"); @import url("forum.css"); ALGEBRAIC LOGIC algebraic infants algebraic integers algebraic linear programmimg algebraic logarithms ... algebraic inequality in standard form equivalent Author Message Jose Registered User Joined: 22 Apr 03 Posts: 10 Location: Montgomery, US Posted: Tue Apr 22, 2003 6:23 pm ; Post subject: algebraic logic There's no way I'm going to learn this without some help. Everyone else in my class is confused about the algebraic logic and the teacher just isn't explaining it like she should. What can I do? Back to top Profile PM WWW Author Message moderator Joined: 11 Jan 2003 Posts: 1264 Location: Salt Lake City, UT Posted: Tue Apr 22, 2003 6:50 pm ; Post subject: RE: algebraic logic On the bright side, you have help besides fellow students and the teacher. The Algebra Helper software will literally help you work on your own algebra problems at your own pace. By the time you're done with your homework, you can show that teacher (and if you're nice - your classmates too) how it's done. It seems like algebra homework can take forever. It seems like all you do is sit there and stare at the equations hoping that it will just suddenly sink in. And yet when you're done staring at the homework, you still probably have a ton of other homework to do. You're not dumb. Everyone at one point has hoped for help with algebra that doesn't involved parents, teachers or tutorials. They can help (well, maybe not always the parents), but often you're still left confused and unsure of how to solve the equations that you were assigned.

38. Springer Online Reference Works Magari algebras are an Algebraic interpretation for provability logic, a10, R. Magari, Algebraic logic and diagonal phenomena , logic Colloquium 82 http://eom.springer.de/M/m110020.htm

Encyclopaedia of Mathematics M Article refers to Magari algebra, diagonalizable algebra A Boolean algebra enriched with a unary operation . In the so-expanded signature, the Magari algebra is defined by the axioms of Boolean algebra and the following three specific axioms: Here, denotes complementation and the unit is the greatest element of the Magari algebra with respect to the relation . The notation is often employed instead of One sometimes regards the Magari algebra with the dual operation ), defined by the axioms: Here, the zero is the least element of the Magari algebra. In order to distinguish the Boolean part of a Magari algebra, one writes the Magari algebra as the pair or , where is a Boolean algebra. Magari algebras arose as an attempt to treat diagonal phenomena (cf. the diagonalization lemma in ) in the formal Peano arithmetic Arithmetic, formal ) in an algebraic manner. Indeed, the Lindenbaum sentence algebra of Peano arithmetic, , equipped with defined by is an example of a Magari algebra. Here is the of the sentence and means the equivalence class of the arithmetical sentences formally equivalent in Peano arithmetic to the sentence ). The diagonalization lemma is simulated with the following

39. Group In Logic And The Methodology Of Science - Leon A. Henkin, Professor Emeritus of Mathematics. Ph.D., Mathematics, Princeton, 1947; joined Berkeley faculty in 1953. Algebraic logic, theory of models. http://logic.berkeley.edu/faculty.html

Home Faculty Officers Students ... Links Faculty of the Group Robert M. Anderson , Professor of Economics and Mathematics. Ph.D., Yale University, 1977. Nonstandard analysis. Office: 501 Evans Hall Phone: E-mail: Web: http://emlab.berkeley.edu/facdir/anderson.html Branden Fitelson , Assistant Professor of Philosophy. Philosophy of science, logic, automated reasoning. Office: 132 Moses Hall Phone: E-mail: Web: http://www.fitelson.org Leo A. Harrington , Professor of Mathematics Recursion theory, model theory, set theory. Office: 765 Evans Hall Phone: E-mail: John MacFarlane , Associate Professor of Philosophy. Ph.D., Philosophy, University of Pittsburgh, 2000. Philosophy of language, philosophical logic, history and philosophy of logic. Office: 231 Moses Hall Phone: E-mail: Web: http://sophos.berkeley.edu/macfarlane/ Paolo Mancosu , Professor of Philosophy. Ph.D., Philosophy, Stanford, 1989; joined Berkeley faculty in 1995. Logic, philosophy of mathematics. Office: 233 Moses Hall Phone: E-mail: Web: http://philosophy.berkeley.edu/mancosu/ George Necula , Ph.D. Associate Professor of Electrical Engineering and Computer Science.

40. Agi Kurucz`s `Publications` Page H. Andréka, A. Kurucz, I. Németi and I. Sain Applying Algebraic logic; a general methodology, Preprint, Mathematical Institute of the Hungarian Academy of http://www.dcs.kcl.ac.uk/staff/kuag/publi.html

Recent reports and publications of Agi Kurucz Recent reports A. Kurucz: Weakly associative relation algebras with projections (submitted) Towards a natural language semantics without functors and operands Journal of Logic, Language and Information , vol. 17 (2008), 1-17. (to appear) Book D.M. Gabbay, A. Kurucz, F. Wolter and M. Zakharyaschev: Many-dimensional modal logics: theory and applications . Studies in Logic and the Foundations of Mathematics, Volume 148. Elsevier, 2003. ISBN: 978-0-444-50826-3 Chapters in books A. Kurucz: Combining modal logics , in: Handbook of Modal Logic (eds.: J. van Benthem, P.Blackburn, F. Wolter), Studies in Logic and Practical Reasoning, Volume 3. Elsevier (2007), 869-924. ISBN: 978-0-444-51690-9 R. Kontchakov, A. Kurucz, F. Wolter and M. Zakharyaschev: Spatial logic + temporal logic = ? , in: Handbook of Spatial Logics (eds.: M. Aiello, I. Pratt-Hartmann, J. van Benthem), Springer (2007), 497-564. ISBN 978-1-4020-5586-7 Journal articles D. Gabelaia, A. Kurucz, F. Wolter and M. Zakharyaschev: Non-primitive recursive decidability of products of modal logics with expanding domains Annals of Pure and Applied Logic , vol. 142 (2006), 245-268.

41. The Online Books Page: Browse Subject: Algebraic Logic Browsing subject area Algebraic logic (About this browser) The Algebra of logic , by Louis Couturat, trans. by Lydia Gillingham Robinson (frame and http://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Algebrai

42. Algebraic Logic Functional Language - Computing Reference - ELook.org Information and links on Algebraic logic Functional language. http://www.elook.org/computing/algebraic-logic-functional-language.htm

eLook Home eLook Computing Reference Search Computing Reference By Letter: Non-alphabet A B C ... Email this page to a friend Algebraic Logic Functional language functional programming and logic programming techniques. ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming , and functions and equations for functional programming Any functional expression can be used in a goal literal and arbitrary predicates can occur in conditions of equations. ALF uses narrowing and rewriting. ALF includes a compiler to Warren Abstract Machine code and run-time support (ftp://ftp.germany.eu.net/pub/programming/languages/LogicFunctional). ["The Implementation of the Functional-Logic Language ALF", M. Hanus and A. Schwab]. Terms Containing Algebraic Logic Functional language algebra ALGEBRAIC algebraic algebraic data type ... Contact

43. Halmos: Algebraic Logic, I. Monadic Boolean Algebras Algebraic logic, I Monadic Boolean algebras Paul R. Halmos by Préface. The purpose of the séquence of papers here begun is to make algebra out of logic. http://www.numdam.org/numdam-bin/fitem?id=CM_1954-1956__12__217_0

44. Citebase - Algebraic Geometry In First Order Logic In this paper the FOL formulae are considered in the context of Algebraic logic. With this aim we define special Halmos categories. http://www.citebase.org/abstract?id=oai:arXiv.org:math/0312485

45. Algebraic Logic As well as looking at the theory of Algebraic logic we will study the links with universal algebra, classical logic, game theory and modal logic. http://www1.chapman.edu/~jipsen/luatcs99/info/hirsch.html

Algebraic Logic Workshop Organizer: Robin Hirsch, University College London A brief description: This course will start with an introductory tutorial explaining the origins and early development of this subject and will continue with more advanced, central topics in algebraic logic. As well as looking at the theory of algebraic logic we will study the links with universal algebra, classical logic, game theory and modal logic. List of speakers in the algebraic logic workshop (subject to change) Agi Kurukz: Introduction to algebraic logic. 60 minutes Ian Hodkinson: The Rainbow construction. 45 minutes Szabolcs Mikulas: Reducts of relation algebras. 45 minutes Tarek Ahmed: Relation algebras, cylindric algebras and neat reducts. 45 minutes Robin Hirsch: Algebraic logic and first-order proof theory. 45 minutes Yde Venema: Complex Algebras. 45 minutes

46. SHARP Direct Algebraic logic (D.A.L.). Until the introduction of SHARP s D.A.L., keying in equations had been a complicated process making scientific calculators http://sharp-world.com/contents/calculator/features/standard/dal/index.html

For Graphing Reversible Keyboard Pen-Touch Operation Equation Editor Shift/Change Graph ... Rapid Graph/Window/Zoom For Standard Direct Algebraic Logic (D.A.L.) Multi-Line Playback Constant/Chain Calculations Numerical Derivative/Integral Formula Memory ... Matrix Function Until the introduction of SHARP's D.A.L., keying in equations had been a complicated process making scientific calculators difficult to use. Introduced in 1992 and an industry-first, SHARP's D.A.L. allows symbols and numbers of an equation to be entered as they are written. Instead of wasting energy on difficult calculator operations, users are free to concentrate on mathematical concepts. You have to push the keys in a different order than the actual equation, making the input process confusing. You push the keys in the same order as the actual equation.

47. Algebraic Logic And Universal Algebra In Computer Science 1988 Algebraic logic and Universal Algebra in Computer Science, Conference, Ames, Iowa, USA, June 14, 1988, Proceedings. Lecture Notes in Computer Science 425 http://sigmod.org/dblp/db/conf/aluacs/aluacs1988.html

Algebraic Logic and Universal Algebra in Computer Science 1988: Ames, Iowa, USA Clifford Bergman Roger D. Maddux Don Pigozzi (Eds.): Algebraic Logic and Universal Algebra in Computer Science, Conference, Ames, Iowa, USA, June 1-4, 1988, Proceedings. Lecture Notes in Computer Science 425 Springer 1990, ISBN 3-540-97288-9 BibTeX DBLP Invited Papers : Relatively free relation algebras. 1-14 BibTeX Joel Berman : The value of free algebras. 15-26 BibTeX H. Peter Gumm : Continuations of logic programs. 27-36 BibTeX : On cylindric algebraic model theory. 37-75 BibTeX Vaughan R. Pratt : Dynamic algebras as a well-behaved fragment of relation algebras. 77-110 BibTeX Eric G. Wagner : All recursive types defined using products and sums can be implemented using pointers. 111-132 BibTeX Contributed Papers Isidore Fleischer : The abstract Galois theory: a survey. 133-137 BibTeX : The implications in conditional logic. 139-159 BibTeX Lawrence S. Moss Satish R. Thatte : Optimal semantics of data type extensions. 161-180 BibTeX G. C. Nelson : Other logics for (equational) theories. 181-194 BibTeX Ivo G. Rosenberg

48. Theoretical Philosophy Colloquium - Program Algebraic logic, Alfréd Rényi Institute of Mathematics, Budapest. A conceptual analysis of the relativistic clock paradox http://philosophy.elte.hu/tpf/2007/June/

Printable poster: The Forum is open to everyone , including students, visitors, and faculty members from all departments and institutes! The 60 minute lecture is followed by a 10 minute break and a 30-60 minute discussion. The language of presentation is English or Hungarian. The scope of the Forum includes all aspects of theoretical philosophy , including: logic and philosophy of formal sciences philosophy of science modern metaphysics epistemology philosophy of language problems in history of philosophy and history of science, relevant to the above topics particular issues in natural and social sciences, important for the discourses in the main scope of the Forum. Location 4 June 4:00 PM Room 208 Hajnal Andr©ka Istv¡n N©meti Algebraic Logic, Alfr©d R©nyi Institute of Mathematics, Budapest Relativistic computing and the Turing barrier - Can general relativistic computers break the Turing barrier? - Are there final limits to human knowledge? - Limitative results versus human creativity (paradigm shifts). - G¶del’s logical results in comparison/combination with G¶del’s relativistic results. - Can Hilbert’s programme be carried through after all? Of all the entities I have encountered in my life in physics, none approaches the black hole in fascination. And none, I think, is a more important constituent of this universe we call home. The black hole epitomizes the revolution wrought by general relativity. It pushes to an extreme—and therefore tests to the limit—the features of general relativity (the dynamics of curved spacetime) that set it apart from special relativity (the physics of static, “flat” spacetime) and the earlier mechanics of Newton. Spacetime curvature. Geometry as part of physics. Gravitational radiation. All of these things become, with black holes, not tiny corrections to older physics, but the essence of newer physics.

49. Webpage.html Workshop on Universal Algebraic Techniques in Semigroup Theory and logic As part of the V.A.C. 21st birthday celebrations we are this year incorporating http://www.latrobe.edu.au/mathstats/maths/conferences/vic_algebra/index.html

Global Utilities La Trobe Home Skip to Content Contact La Trobe Sitemap Search: Global Navigation About La Trobe Campuses Faculties Research ... International TWENTY FIRST VICTORIAN ALGEBRA CONFERENCE WITH WORKSHOP ON UNIVERSAL ALGEBRAIC TECHNIQUES IN SEMIGROUP THEORY AND ALGEBRAIC LOGIC Mathematics Department, La Trobe University, Victoria 3086, Australia September 29 to October 1, 2003 Map of Venue List of Participants List of Talks Conference Dinner To Brian Davey's Home Page To Marcel Jackson's Home Page La Trobe University Maths Department AIMS Victorian Algebra Conference: The aim of the annual Victorian Algebra Conference is to improve communication among algebraists in Australia in general and in Victoria in particular and to stimulate research. We interpret algebra quite broadly to include, for instance, overlapping areas such as algebraic topology, effective algebra, graph theory, topological algebra and computer algebra. Workshop on Universal Algebraic Techniques in Semigroup Theory and Logic: As part of the V.A.C. 21st birthday celebrations we are this year incorporating within the conference a Workshop on Universal Algebraic Techniques in Semigroup Theory and Logic. As well as a number of general presentations, the workshop will include a series of one hour presentations by Professor George McNulty (University of South Carolina).

50. HeiDOK 03G30 Categorical logic, topoi ( 0 Dok. ) 03G99 None of the above, but in this section ( 0 Dok. ) 03Gxx Algebraic logic ( 0 Dok. http://archiv.ub.uni-heidelberg.de/volltextserver/msc_ebene3.php?zahl=03G&anzahl

51. Powell's Books - Universal Algebra, Algebraic Logic, & Databases By B. I. Plotki Includes bibliographical references (p. 423433) and index http://www.powells.com/biblio?isbn=9780792326656

52. Rasiowa Biography Her thesis, presented in 1950, was on algebra and logic Algebraic treatment of Her main research was in Algebraic logic and the mathematical foundations http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Rasiowa.html

Helena Rasiowa Born: 20 June 1917 in Vienna, Austria Died: 9 Aug 1994 in Warsaw, Poland Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index Version for printing Although Helena Rasiowa was born in Vienna, her parents were Polish. In 1918 Poland regained its status as an independent nation and Rasiowa's parents moved to Warsaw. She was educated there, obtaining a good secondary school education with music lessons taken at a special music school. After completing her school studies she took a course in business management before entering university. Rasiowa entered the University of Warsaw in 1938 but, after the German invasion of Poland in 1939, the university closed. Rasiowa and her parents moved to Lvov but the Poles were trapped between the Soviets and the Germans and Lvov came under Soviet control. Life there seemed even more difficult than under German occupation, so after a year the family returned to Warsaw. There was an impressive collection of mathematicians at the University of Warsaw at this time including Borsuk Lukasiewicz Mazurkiewicz Sierpinski ... Mostowski and others. They had organised an underground version of the university which was strongly opposed by the Nazi authorities.

53. ALGEBRAIC LOGIC FUNCTIONAL LANGUAGE Algebraic logic Functional language (ALF) A language by Rudolf Opalla which combines functional programming and logic programming techniques. http://www.websters-online-dictionary.org/Al/Algebraic Logic Functional language

Philip M. Parker, INSEAD. ALGEBRAIC LOGIC FUNCTIONAL LANGUAGE Specialty Definition: ALGEBRAIC LOGIC FUNCTIONAL LANGUAGE Domain Definition Computing Algebraic Logic Functional language (ALF) A language by Rudolf Opalla which combines functional programming and logic programming techniques. ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming, and functions and equations for functional programming. Any functional expression can be used in a goal literal and arbitrary predicates can occur in conditions of equations. ALF uses narrowing and rewriting. ALF includes a compiler to Warren Abstract Machine code and run-time support. (ftp://ftp.germany.eu.net/pub/programming/languages/LogicFunctional) ["The Implementation of the Functional-Logic Language ALF", M. Hanus and A. Schwab]. (1992-10-08). Source: The Free On-line Dictionary of Computing Source: compiled by the editor from various references ; see credits. Top Crosswords: ALGEBRAIC LOGIC FUNCTIONAL LANGUAGE Specialty definitions using "ALGEBRAIC LOGIC FUNCTIONAL LANGUAGE" ALF references Top Alternative Orthography: ALGEBRAIC LOGIC FUNCTIONAL LANGUAGE Hexadecimal (or equivalents, 770AD-1900s)

54. Internet Web Search, Boolean Algebra Logic The logic of Boolean Algebra. The logical simplicity of boolean algebra enables the construction of powerful, efficient search queries. http://www.livinginternet.com/w/wu_expert_bool.htm

Internet Contents <- Previous ^ Up ... Expert Searching The Logic of Boolean Algebra The logical simplicity of boolean algebra enables the construction of powerful, efficient search queries. The concept of boolean algebra is embedded in human psychology, in our very biological understanding of how the world works. It is the foundation for all of mathematics , most of science, and much of philosophy. But more importantly, it is useful for the construction of advanced Internet search queries, and is used throughout the examples in the following pages. The subsections below provide information on boolean expressions , the boolean operators AND OR , and NOT , some boolean tricks , and and a list of boolean capable search sites Expressions . It is easier to understand boolean algebra when we compare it to the familiar arithmetic algebra we learned in school, with the operators +, , x, / combined with operands in expressions like the following: ( a + b ) x c When we know the values of the operands of an algebraic expression, then we can figure out the overall value. For example, if a=2, b =3, and c=4, then the overall value of the above expression is 20.

55. Research Unit "Algebra And Logic" At The University Of Saskatchewan The Algebra and logic Group was founded in 1997. It has been approved as a research unit in the College of Arts and Science in August of 2002, It is devoted http://math.usask.ca/fvk/algg.htm

RESEARCH UNIT "ALGEBRA AND LOGIC" of the University of Saskatchewan 106 Wiggins Road Saskatoon, SK, S7N 5E6, Canada Phone: (306) 966-6081 - Fax: (306) 966-6086 UPCOMING EVENTS: THE SIXTH ANNUAL COLLOQUIUMFEST Saskatoon, April 1 and 2, 2005 Saskatchewan Mathematics Mini-Meeting Regina, April 15 and 16, 2005 MEMBERS OF THE RESEARCH UNIT "ALGEBRA AND LOGIC": Murray Marshall , professor. Franz-Viktor Kuhlmann , professor. Salma Kuhlmann , professor. Murray Bremner , professor. Pavel Gladki, graduate student. Trevor Green, graduate student. Manuela Haias, graduate student. Bogdan Lataianu, graduate student. Wei Fan, graduate student. A frequent and welcome guest to our seminar: Rajesh Pereira, assistant professor. Additional Members 2001 - 2003: Jaka Cimpric (Ljubljana), NATO postdoctoral fellow, July 2001 - June 2003 Roland Auer, postdoctoral fellow, January 2002 - May 2003 Mikhail Kotchetov, postdoctoral fellow, September 2002 - July 2003 Alexander Nenashev, short term postdoctoral fellow. Igor Klep (Ljubljana), PhD student. He is Cimpric's student.

56. Read This: Logic As Algebra Read This! The MAA Online book review column reviews of logic as Algebra by Halmos and Givant. http://maa.org/reviews/logalg.html

Read This! The MAA Online book review column Logic as Algebra by Paul Halmos and Steven Givant Reviewed by Mark Johnson The intent of Logic as Algebra is expressed clearly in its preface: ...to show that logic can (and perhaps should) be viewed from an algebraic perspective. When so viewed, many of its principal notions are seen to be old friends, familiar algebraic notions that were "disguised" in logical clothing. Moreover, the connection between the principal theorems of the subject and well-known theorems in algebra becomes clearer. Even the proofs often gain in simplicity. To this end, authors Paul Halmos and Steven Givant have written a brief, engaging text aimed at both amateurs and professionals, which requires only a course in modern algebra as background. Since one of this book's potential uses is as a course text, an outline of its contents may be helpful: What is Logic? An introductory parable and mini-logic prepare the reader to meet propositional logic. Propositional Calculus A fairly traditional development of propositional logic.

57. Boolean Algebra And Logic Circuits This page contains Digital Electronics tutorial, Combinational logic, Sequential logic, Kmaps, digital numbering system, logic gate truth tables, http://www.asic-world.com/digital/boolean.html

@import url(/css/main.css); @import url(/css/syntax.css); Boolean Algebra and Logic Circuits Dec-14-2007 Symbolic Logic Precedence Function Definitions Truth Tables ... Truth Table Web www.asic-world.com Do you have any Comment? mail me at: deepak@asic-world.com

58. INI Programme LAA Conference - Mathematics Of Constraint Satisfaction: Logic, Al Algebra, logic and Graph Theory. 20 24 March 2006. Organisers Peter Jeavons (Oxford) and Andrei Krokhin (Durham). Scientific Enquiries Andrei Krokhin http://www.newton.cam.ac.uk/programmes/LAA/laaw03.html

An Isaac Newton Institute Satellite Workshop - University of Oxford Mathematics of Constraint Satisfaction: Algebra, Logic and Graph Theory 20 - 24 March 2006 Organisers Peter Jeavons ( Oxford ) and Andrei Krokhin ( Durham Scientific Enquiries in association with the Newton Institute programme entitled Logic and Algorithms Programme Participants Theme of Conference: The study of constraint satisfaction problems (CSPs) began in the 1970's in artificial intelligence, where this paradigm is now as popular as ever, with hundreds of researchers using this framework to model and solve a wide variety of problems. In 1978, Thomas Schaefer published a seminal paper on the complexity classification of Boolean CSPs, and since then the importance of the CSP in theoretical computer science has continued to grow. For example, many standard complete problems for standard complexity classes are variants of CSPs, and some of the first optimal inapproximability results in combinatorial optimization were proved for certain CSPs. During the last 10 years, researchers studying the complexity of CSPs have discovered deep connections between this framework and many areas of mathematics, the strongest links currently being with universal algebra and lattice theory, logic and finite model theory, and graph theory and combinatorics. The corner-stone of logical and combinatorial approaches to CSP is the fact that many questions about constraint satisfaction can be stated as questions about homomorphisms between relational structures (e.g., graphs). The universal-algebraic approach assigns a finite algebra to every CSP and employs the properties of the algebra to study the properties of the CSP.

59. MathsCSP Workshop 2006 The International Workshop on Mathematics of Constraint Satisfaction Algebra, logic and Graph Theory is a satellite workshop associated with the programme http://www.cs.rhul.ac.uk/home/green/mathscsp/

International Workshop on Mathematics of Constraint Satisfaction: Algebra, Logic and Graph Theory 20-24 March 2006 St Anne's College, University of Oxford Workshop Home Tutorials Plenary Lectures Short Talks ... Contacts Organizers Andrei Krokhin Peter Jeavons Travel Venue Travel and Maps Accommodation Links Logic and Algorithms In Oxford Oxford City Visit Oxford Open problems [ pdf ] (updated 25 April) All slides now available as PDF files Photo galleries now available Post-Workshop News The immensely positive feedback from participants leads us to believe that the workshop was a huge success! Thanks are due to the hard work of all the speakers, the staff at Oxford and the sponsors [ not to mention the organizers! - Martin]. The open problems [ pdf ] raised at the workshop have now been compiled by the organizers and are available for download. If you have any comments or suggestions for these or other open problems please let us know via the email links on the contacts page. The slides used by all speakers are available on the programme page and also on the individual tutorials plenary lectures and short talks pages. By request, we have made PDF the unifying format for these slides. Where speakers have provided only PowerPoint or PostScript files we have converted these to PDF. (Conversions are not always accurate, particularly with animations, in which case please try the non-PDF version of the slides where possible.)

60. FORK ALGEBRAS IN ALGEBRA, LOGIC AND COMPUTER SCIENCE FORK ALGEBRAS IN ALGEBRA, logic AND COMPUTER SCIENCE. http://www.worldscibooks.com/compsci/4899.html

Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Bookshop New Titles Editor's Choice Bestsellers Book Series ... Advances in Logic - Vol. 2 FORK ALGEBRAS IN ALGEBRA, LOGIC AND COMPUTER SCIENCE by Marcelo Fabián Frias (University of Buenos Aires, Argentina) Table of Contents Preface Chapter 1: Introduction and Motivations Fork algebras are a formalism based on the relational calculus, with interesting algebraic and metalogical properties. Their representability is especially appealing in computer science, since it allows a closer relationship between their language and models. This book gives a careful account of the results and presents some applications of Fork algebras in computer science, particularly in system specification and program construction. Many applications of Fork algebras in formal methods can be applied in many ways, and the book covers all the essentials in order to provide the reader with a better understanding. Contents: Introduction and Motivations Algebras of Binary Relations and Relation Algebras Proper and Abstract Fork Algebras Representability and Independence Interpretability of Classical First-Order Logic Algebraization of Non-Classical Logics A Calculus for Program Construction Readership: Graduate students and researchers using relational methods in computer science.

61. Wiki Boolean Algebra (logic) Boolean algebra (or Boolean logic) is a logical calculus of truth values, developed by George Boole. It resembles the algebra of real numbers as taught in http://wapedia.mobi/en/Boolean_algebra_(logic)

Wiki: Boolean algebra (logic) Contents: 1. Values 1. 1. Conventions 1. 2. Applications 2. Operations ... Wapedia: For Wikipedia on mobile phones

62. Universal Algebra And Logic Abstract Algebra and logic are closely related and often mutually beneficial companions. In this talk, I will show how the logical property of http://www.math.vanderbilt.edu/~ual/semi.html

63. Algebra And Logic - Algebra Journals, Books & Online Media | Springer Algebra and logic Algebra. Algebra and logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and logic and the http://www.springer.com/west/home/math?SGWID=4-10042-70-35570423-0

64. A Home Page On Higher-Order Specifications First Int. Workshop on HigherOrder Algebra, logic and Term Rewriting, Lecture Notes in Computer Science 816, Springer Verlag, Berlin, 1994. http://www.nada.kth.se/~karlm/hoapage.html

65. That Logic Blog This workshop aims to bring together researchers working in category theory, universal algebra, logic and their applications to computer science in order to http://thatlogicblog.blogspot.com/

@import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?targetBlogID=9821078"); That Logic Blog May 31, 2007 Galavanting I fly off to the land up over on Saturday to attend various things as well as for a bit of a holiday. For the insatiably curious, there is a preprint floating around now covering the things I will be talking about: Coherence without unique normal forms. posted by Jon @ 1:10 PM 0 comments January 24, 2007 Workshop Program The program for the workshop in Canberra on 5 - 7 February is now available here It's not too late to register if you want to come along for the fun! posted by Jon @ 4:23 PM 0 comments December 07, 2006 USMC'07 We're having a workshop! CALL FOR TALKS AND PARTICIPATION Universal Structures in Mathematics and Computing http://usmc07.rsise.anu.edu.au The Australian National University Canberra, Australia 5 - 7 February 2007 Aim: Starting from very different motivations, various groups of mathematicians and computer scientists have sought to describe abstract structures in great generality. This parallel evolutionary process has led to various groups of researchers working on highly interrelated areas, though unable to effectively communicate with each other due to vastly differing languages. This workshop aims to bring together researchers working in category theory, universal algebra, logic and their applications to computer science in order to highlight recent advances in these fields and to facilitate dialogue between the different camps. Of particular interest is work which spans two or more of these areas.