Home  Lambda_Calculus  Lambda Calculus And Computability 
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1. Readings: Theory Of Computation The lambda calculus Its Syntax and Semantics. NorthHolland (Amsterdam, 1981). Although it does not address Church s Thesis and effective Computability http://misertheory.info/readings/theory.htm  

2. MainFrame: The Lambdacalculus, Combinatory Logic, And Type Systems Computability. The lambda calculus was first devised by Alonzo Church, first to provide a foundation for mathematics and then to show the existence of http://rbjones.com/rbjpub/logic/cl/cl017.htm  

3. Lambda The Ultimate Lc The paper describes the history of the lambda calculus, and several of its uses. Along the way it discusses important notions like Computability and http://lambdatheultimate.org/classic/lc.html  

4. Models Of Comp The fundamental ideas of (non)Computability and complexity will be presented. There will also be a section on the lambda calculus and its connection with http://www.cs.bham.ac.uk/internal/modules/2007/05934.html  

5. Domains And Lambda Calculi (book Announcement) A basic link between Scott continuity and Computability (the This is a simply typed lambdacalculus extended with fixpoints and arithmetic operators. http://www.seas.upenn.edu/~sweirich/types/archive/199798/msg00317.html  

6. Re^2: Pissed Off About Functional Programming Church is the one who defined what he called effective calculabilty (which we call Computability today) and linked lambda calculus to the murecursive http://www.perlmonks.org/?node_id=451236 
7. Manzonetto Giulio  Ph.D Student In Computer Science  Home Page My main interest in computer science is in Computability theory, lambda calculus, topology, term rewriting systems, abstract semantics and functional http://www.dsi.unive.it/~gmanzone/  

8. Functional Programming With Haskell The lambdacalculus grew out of an attempt by Alonzo Church and Stephen Kleene in the early 1930s to formalize the notion of Computability. http://www.mta.ca/~rrosebru/oldcourse/371199/haskell/paper.htm  

9. Lambda Calculus  Wikipedia, The Free Encyclopedia Then he assumes that this predicate is computable, and can hence be expressed in lambda calculus. Building on earlier work by Kleene and constructing a http://en.wikipedia.org/wiki/Lambda_calculus  

10. Pietro Di Gianantonio Home Page University of Udine Real number Computability, semantics of concurrency, lambdacalculus. http://www.dimi.uniud.it/~pietro/  

11. Lambda Calculus 1 S. Abramsky and C.H. L. Ong. Full abstraction in the lazy lambda calculus. Information and Computation, 105159267, 1993. 2 H. Barendregt. http://users.comlab.ox.ac.uk/luke.ong/teaching/lambda/  

12. Lambda Calculus@Everything2.com An interesting aspect is that + and even 2 can themselves be defined in terms of lambda calculus it is a complete description of discrete computation. http://everything2.com/index.pl?node_id=122026 
13. CCCs And The ÃÂ»calculus One of the most wellknown is the lambda calculus, invented by Church and Kleene in the 1930s as a model of computation. Any function computable by the http://math.ucr.edu/home/baez/qgfall2006/ccc.html  

14. BOOKSPRINGER: The Parametric Lambda Calculus: A Metamodel For Computation It is well known that lambdacalculus is Turing complete, in both its callbyname and callbyvalue variants, i.e. it has the power of the computable http://www.di.unito.it/~paolini/BookParametric.html  

15. No Title Miraculously, the lambda calculus model is both simpler than the Turing machine model and more practical for real computation. The programming language Lisp http://perl.plover.com/lambda/tpj.html  

16. Lambda Calculus  A Definition From WhatIs.com lambda calculus, considered to be the mathematical basis for programming Alonzo Church and Stephen Kleene in the 1930s to express all computable functions. http://whatis.techtarget.com/definition/0,,sid9_gci341298,00.html  

17. BOOK ANNOUNCEMENT: The Parametric Lambda Calculus BOOK ANNOUNCEMENT THE PARAMETRIC lambda calculus A Metamodel for Computation by Simona Ronchi Della Rocca and Luca Paolini Series Texts in Theoretical http://osdir.com/ml/science.mathematics.frogs/200409/msg00015.html  

18. Research/Lambda Calculus And Type Theory  Foundations This system is called now the (typefree) lambda calculus. Representing computable functions as lambda terms gives rise to so called functional programming. http://www.fnds.cs.ru.nl/fndswiki/Research/Lambda_calculus_and_Type_Theory  

19. Classical Vs Quantum Computation (Week 1)  The NCategory CafÃ© the lambda calculus and its role in classical computation,; how quantum computation differs from classical computation,; the quantum lambda calculus and its http://golem.ph.utexas.edu/category/2006/10/classical_vs_quantum_computati.html  

20. Lambda Calculus Tutorial The lambda calculus was developed in 1936 by Lorenzo Church, and is a mathematical system for defining computable functions (i.e., a model of computation). http://www.soe.ucsc.edu/classes/cmps112/Spring03/readings/lambdacalculus/project  

21. Incremental Reduction In The Lambda Calculus SIGACT ACM Special Interest Group on Algorithms and Computation Theory for the lambda calculus, Information and Computation, v.75 n.3, p.191231, Dec. http://portal.acm.org/citation.cfm?id=91556.91679 
22. LambdaCalculus And Computer Science Theory 1975 Corrado BÃ¶hm (Ed.) lambdacalculus and Computer Science Theory, 272286 BibTeX Marisa Venturini Zilli A model with nondeterministic computation. http://www.informatik.unitrier.de/~ley/db/conf/lambda/lambda1975.html  

23. Research Laboratory For Logic And Computation, GC CUNY CT A function f N N is algorithmically computable iff it is (general) recursive. Cartesian closed categories and lambda calculus II. http://web.cs.gc.cuny.edu/~rllc/seminar_fall2003.html  

24. Wiktionary:Tea Room/Archive 2007  Wiktionary lambda calculus is a subfield of Computability theory studied first by Alonzo Church. The strong linking to him is because most places which discuss http://en.wiktionary.org/wiki/Wiktionary:Tea_room/Archive_2007  

25. Education, Master Class 1988/1999, MRI Nijmegen The lambda calculus is a mathematical theory of computable functions. lambda calculus gives representations of algorithms and of constructive proofs. http://www.math.uu.nl/mri/education/course_9899.html  

26. Arithmetic In Lambda Calculus  Wolfram Demonstration Project lambda calculus was developed by Alonzo Church and Stephen Kleene in 1930 and It is a system capable of universal computation, that is, any computable http://demonstrations.wolfram.com/ArithmeticInLambdaCalculus/  

27. Fall 2001, CSE 520: Lectures 1937 Turing proves that every function computable by a Turing machine can be represented in the lambda calculus, and viceversa. In the same years, http://www.lix.polytechnique.fr/Labo/Catuscia.Palamidessi/teaching/cg520/01Fall/  

28. Abstracts Of The Lectures At The School In Logic And Computation Mariangola DezaniCiancaglini University of Turin; The lambda calculus in Different from a computation and orders it according to the order it produced, http://www.cee.hw.ac.uk/~fairouz/eefschool1999/abstracts2.html 
29. Definitions Of Computable Church s Hypothesis on Computability. Turing Machines; lambda calculus; Post Formal Systems; Partial Recursive Functions; Unrestricted Grammars http://cs.wwc.edu/~aabyan/Theory/Computable.html 
30. Introduction To Lambda Calculus Introduction to lambda calculus. lambda calculus. The calculus is universal in the sense that any computable function can be expressed and evaluated http://www.scribd.com/doc/202150/IntroductiontoLambdaCalculus  

31. Summer School And Workshop On Proof Theory, Computation And Complexity Like for last yearÂs events on `Proof Theory and ComputationÂ´ (Dresden) and `Proof, After introducing the simply typed lambda calculus, it is planned to http://www.ki.inf.tudresden.de/~guglielm/WPT2/  

32. European Masters Program In Computational Logic  Modules At TU Wien Logic programs with constraints are introduced and basic computation mechanisms given. Keywords higher order logics; lambda calculus; lambda prolog; http://www.logic.at/compulog/modules.html  

33. Cigars, Lambda Expressions, And .NET  Dev Source  Find Articles At BNET.com According to Wikipedia, lambda calculus can be called the smallest universal programming language, and any computable function can be expressed and http://findarticles.com/p/articles/mi_zddvs/is_200706/ai_n19425998  

34. J Logic Computation  Sign In Page This covers an application of rewriting techniques to computation via equational reasoning. Chapter 10, by Bethke, is on lambda calculus. http://logcom.oxfordjournals.org/cgi/content/full/16/6/917  

35. Pietro Di Gianantonio Publications A functional approach to Computability on real numbers. Game semantic for untyped lambda calculus. Pietro Di Gianantonio, Gianluca Franco, http://www.dimi.uniud.it/~pietro/papers/  

36. The Lambda Calculus Mail Series The set of functions that are definable in lambda calculus are exactly those functions that are computable! In fact, lambda calculus and Turing Machines http://www24.brinkster.com/srineet/lambda\lambda.html  

37. Pure And Applied Logic At Carnegie Mellon Richard Statman Professor of Computer Science and Mathematical Sciences mathematical logic, theory of computation, lambda calculus, combinatory logic http://logic.cmu.edu/  

38. ComSci 319, U. Chicago The lambda calculus is a formal system for studying the definitions of of logic and computation that arise from the ability to interpret a lambda term http://www.classes.cs.uchicago.edu/classes/archive/2000/winter/CS319/  

39. Foundations Of Computer Science Research seminar devoted to problems related to asymptotic densities in logic, Computability theory, computational logic, typed lambda calculus, http://tcs.uj.edu.pl/csfs  

40. Publications Completeness of continuation models for lambdamucalculus. Joint with Thomas Streicher. To appear in Information and Computation This is a journal version http://www.dcs.ed.ac.uk/~mxh/papers.html  

41. 2006 August Â« Reperiendi Quantum lambda calculus, symmetric monoidal closed categories, and TQFTs. 2006 August 22 This set is only computably enumerable, not computable. http://reperiendi.wordpress.com/2006/08/  

42. ThÃ©orie De La DÃ©monstration P. Baillot and Terui, K., Light types for polynomial time computation in lambdacalculus, Proceedings of LICS 2004, pp. 266Â275 (2004).(PS). http://lipforge.enslyon.fr/www/crtheodem/articles.html  

43. Foundational Papers By Henk Barendregt Logic, Meaning and Computation, Kluwer, 275285. Volume 97 kb Constructive proofs of the range property in lambda calculus. http://www.cs.ru.nl/~henk/papers.html  

44. The Little Calculist: Jewels Of The Lambda Calculus: Abstraction As Generalizati LC is a ultrageneral calculus of computable functions, so it captures The point is that the lambda calculus formalizes the metalanguage we use to talk http://calculist.blogspot.com/2006/04/jewelsoflambdacalculusabstraction.html  

45. CS302 2006S : Class 08: Lambda Calculus Any function that is computable under a reasonable model of computation is computable by (a Turing machine; the lambda calculus); Any sufficiently powerful http://www.cs.grinnell.edu/~rebelsky/Courses/CS302/2006S/Outlines/outline.08.htm  

46. Definitions Of Computable Church s Hypothesis on Computable; Turing Machines; lambda calculus; Post Formal Systems; Partial Recursive Functions; Unrestricted Grammars http://www.cs.umbc.edu/~squire/reference/computable.shtml  

47. Lambda Calculus Introduction Our notion of computation in lambda calculus will be to reduce a term to its normal form. This will make more sense after we define numbers, below. http://sage.mc.yu.edu/kbeen/teaching/toc/resources/lambda.html  

48. JSTOR Minimal Forms In $\lambda$Calculus Computations The purpose of this work is to consider 2calculus as a computation model. .. 3 A. C~tJRC~, The calcttli of lambda conversion, Annals of Mathematical http://links.jstor.org/sici?sici=00224812(198003)45:1<165:MFIC>2.0.CO;2A 
49. FACT!  Multiparadigm Programming With C++ Glossary The lambda calculus is a formal mathematical system. It was developed by Alonzo Church in the 1930s as a theoretical model for computation. http://www.fzjuelich.de/jsc/FACT/glossary/glossary.html  

50. IngentaConnect Constant Time Parallel Computations In Lambdacalculus We prove that a function over free algebras is computable in parallel constant time in the pure lambda calculus, iff it is representable in the simply http://www.ingentaconnect.com/content/els/03043975/2001/00000266/00000001/art003  

51. Typed Lambda Calculi Publications Abstract In this paper I propose a new set of rules for a judgement calculus, i.e. a typed lambda calculus, based on Intuitionistic Linear Logic; http://www.math.unipd.it/~silvio/PublicationsLC.html  

52. Lecture 12  The Lambda Calculus As A Foundation For Computing Church is responsible for Church s thesis, which states that every computable function is representable as a term of the lambda calculus (equivalently, http://www.cs.pomona.edu/~kim/CSC066S06/Lectures/Lecture12/Lecture12_2.html  

53. Lambda Calculus lcalculus is a calculus which expresses ÂcomputationÂ via anonymous How then does lcalculus express a lambda form that has 2 or more arguments? http://www.mactech.com/articles/mactech/Vol.07/07.05/LambdaCalculus/  

54. Longo Symposium We show how an extension to the infinitary lambda calculus, where BÃ¶hm trees can . An analogy with computer sciences (numerical computation for partial http://www.pps.jussieu.fr/~gc/other/rdp/talks.html  

55. Real Analysis In Abstract Stone Duality A lambda calculus for Real Analysis if you are interested in (constructive, computable or classical) real analysis;. Interval Analysis Without Intervals if http://www.monad.me.uk/ASD/analysis.php  

56. Lambda Notation We study the operational semantics of lambda calculus, which is based on reducing expressions to their simplest possible forms. That is, a computation is http://www.cs.ualberta.ca/~mmueller/Courses/325general/Fun/lambda.html  

57. STATISTICS Church s Thesis says that the meaning of effective computation is equivalent to all computations that can be programmed in Church s lambda calculus http://www.cs.bgu.ac.il/~elhadad/summarytest/ech0/Summary1.html  

58. Online OtterÃÂ» lambda calculus, or calculus, is a theory of rules . Whether these rules are programs or some kind of more general (noncomputable) function we do not http://michaelbeeson.com/research/otterlambda/index.php?include=LambdaCalculus 
59. I. Why Study The Theory Of Programming Languages? A. Arguments For Computation by substitution, call by name III. The simply typed lambda calculus A. syntax TYPED LANGUAGE CONCRETE SYNTAX t,s in TypeExpr e http://www.cs.iastate.edu/~leavens/ComS541Fall05/meetingoutlines/lambdacalculu  

60. Peter Selinger: Math 4680/5680, Fall 2007 PCF stands for programming with computable functions . The language PCF is an extension of simplytyped lambda calculus with booleans, natural numbers, http://www.mscs.dal.ca/~selinger/4680/  

62. A Brief History Of Functional Programming Church s Thesis Effectively computable functions from positive integers to positive integers are just those definable in the lambda calculus. http://www.cs.bc.edu/~gtan/historyOfFP/historyOfFP.html  

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