Home  Mathematical_Logic  Combinatory Logic And Lambdacalculus 
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1. MainFrame: The Lambdacalculus, Combinatory Logic, And Type Systems Pure Combinatory logic is so closely related to Church s lambdacalculus that it is best studied alongside the lambdacalculus, for which the most http://rbjones.com/rbjpub/logic/cl/cl017.htm  

2. J Roger Hindley : Research Mathematical logic; particularly lambdacalculus, Combinatory logic and typetheories, with a current bias towards historical aspects. http://wwwmaths.swan.ac.uk/staff/jrh/JRHresearch.html  

3. The Mixed LambdaCalculus And Combinatory Logic (an Overview) The Mixed lambdacalculus and Combinatory logic (an overview). H. Riis Nielson, F. Nielson. Type, Conference paper With referee http://www2.imm.dtu.dk/pubdb/views/publication_details.php?id=1601 
4. JSTOR Introduction To Combinators And $\lambda$Calculus. lambdacalculus and Combinatory logic (pure and typed) have been rapidly increasing in importance during the last twenty years because of their applications http://links.jstor.org/sici?sici=00224812(198809)53:3<985:ITCA>2.0.CO;2# 
5. EWSCS 2004/EATTK 2004: Sergei Artemov, Abstract The logic of Proofs became both an explicit counterpart of modal logic and a reflexive Combinatory logic (reflexive lambdacalculus) thus providing a http://cs.ioc.ee/yik/schools/win2004/artemov.php  

6. Deff  Search Service  Research Database The twolevel version of the Combinatory logic therefore is a mixed lambdacalculus and Combinatory logic. They extend the mixed lambdacalculus and http://forskningsbasen.deff.dk/ddf/rec.external?id=dtu199779 
7. People Research interests. Mathematical logic; particularly lambdacalculus, Combinatory logic and typetheory. Books published. Combinatory logic Vol. http://www.wolfengagen.mephi.ru/people.htm  

8. Springer Online Reference Works In pure Combinatory logic there is a set of terms built by application from for the whole of logic by a complicated combination of lambdacalculus and http://eom.springer.de/i/i110060.htm  

9. J Logic Computation  Sign In Page History of lambdacalculus and Combinatory logic. In Gabbay D and Woods J (Eds.). Handbook of the History of logic(Elsevier, Amsterdam) to appear. http://logcom.oxfordjournals.org/cgi/content/full/exm001v1  

10. LambdaCalculus And Computer Science Theory 1975 Corrado BÃ¶hm (Ed.) lambdacalculus and Computer Science Theory, Proceedings of the for identifying two elements of whatever model of Combinatory logic. http://www.informatik.unitrier.de/~ley/db/conf/lambda/lambda1975.html  

11. Major Scientific Accomplishments 2000. Reflexive Lambdacalculus It may be regarded as the pure lambda version of the logic of Proofs LP (cf. and Combinatory logic, typed lambdacalculus and modal lambdacalculus. http://www.cs.gc.cuny.edu/~sartemov/accom.html  

12. Longo Symposium in concerns syntactic and semantic properties of the logical base of functional languages Combinatory logic, lambdacalculus and their extensions. http://www.pps.jussieu.fr/~gc/other/rdp/talks.html  

13. Corrado BÃ¶hm Research interests Theory of computing, Constructive Mathematics, Combinatory logic, lambdacalculus, Semantics and Implementation of Functional http://www.dsi.uniroma1.it/~boehm/  

14. Historical... Data Retrieval [EX Re: [PT] Question On ND And Sequents] was already aware of something similar to typed lambdacalculus / Combinatory logic (modulo ``CurryHoward , so to speak)! only scarce evidence survived http://osdir.com/ml/science.mathematics.prooftheory/200506/msg00001.html  

15. John's Combinatory Logic Playground Pictured above you can see on the left the 210 bit binary lambda calculus selfinterpreter, and on the right the 272 bit binary Combinatory logic http://www.cwi.nl/~tromp/cl/cl.html  

16. Combinatory Logic  Wikipedia, The Free Encyclopedia (1972) survey the early history of Combinatory logic. For a more modern parallel treatment of Combinatory logic and the lambda calculus, see Barendregt http://en.wikipedia.org/wiki/Combinatory_logic  

17. ComSci 319, U. Chicago This is the bible for Combinatory logic, including lambda calculus and prooftheoretic applications. It is hard to read, and only fluent mathematicians http://www.classes.cs.uchicago.edu/classes/archive/2000/winter/CS319/  

18. [Some Citations For Lambda Calculus Books From MathSciNet Djr This paper is a short history of the lambda calculus and Combinatory logic by a participant in that history. After a brief introduction to both systems and http://www.math.niu.edu/~rusin/knownmath/99/lambdacalc_refs 
19. Equivalences Between Pure Type Systems And Systems Of Illative Systems of illative Combinatory logic or lambda calculus, ICLs, were introduced by Curry and Church as a foundation for logic and mathematics. http://projecteuclid.org/handle/euclid.ndjfl/1117755149  

20. Good Book On Combinatory Logic  Docendi.org typed lambda calculus and intuitionistic logic. We are not dealing with typed lambda calculus here, but with untyped Combinatory logic). http://www.docendi.org/goodt29079.html 
21. DROPS  Document We introduce binary representations of both lambda calculus and Combinatory logic terms, and demonstrate their simplicity by providing very compact http://drops.dagstuhl.de/opus/frontdoor.php?source_opus=628 
22. Good Book On Combinatory Logic  Sci.logic  Google Groups typed lambda calculus and intuitionistic logic. We are not dealing with typed lambda calculus here, but with untyped Combinatory logic). http://groups.google.as/group/sci.logic/msg/2b90e98426e0e501  

23. A Hierarchy Of Languages, Logics, And Mathematical Theories  Cogprints Keywords, Chomsky hierarchy, evolution of language, Combinatory logic, lambda calculus, category theory. Subjects, Linguistics Historical Linguistics http://cogprints.org/2875/  

24. Research/Lambda Calculus And Type Theory  Foundations The lambda calculus was originally conceived by Church in 1932 as part of a Illative Combinatory logic. In this project we study relations between http://www.fnds.cs.ru.nl/fndswiki/Research/Lambda_calculus_and_Type_Theory  

25. Partial Applicative Theories And Explicit Substitutions Ã¢ÂÂ IAM In the literature, they are either presented in the form of partial Combinatory logic or the partial lambda calculus, and sometimes these two approaches are http://www.iam.unibe.ch/publikationen/techreports/1993/iam93008  

26. Lambda Calculus  Lambda The Ultimate Pictured you can see the 210 bit binary lambda calculus selfinterpreter, and the 272 bit binary Combinatory logic selfinterpreter. http://lambdatheultimate.org/taxonomy/term/20  

27. Recent Publications Curry s program , in To H. B. Curry Essays on Combinatory logic, Lambda Calculus and Formalism edited by J. P. Seldin and J. R. Hindley (Academic Press, http://www.cs.uleth.ca/~seldin/publications.shtml 
28. Atlas: From Proof Polynomials To Reflexive Combinators By Sergei Artemov In this talk we will introduce Reflexive Combinatory logic RCL built on the of \lambdacalculus with arbitrary nesting of type assertions reflexive http://atlasconferences.com/c/a/j/y/40.htm  

29. IngentaConnect Combinatory Weak Reduction In Lambda Calculus Combinatory logic claims to do the same work as lambda calculus but with a simpler language and a simpler reduction process. In a sense this claim is true http://www.ingentaconnect.com/content/els/03043975/1998/00000198/00000001/art002  

30. Nour keywords, Combinatory logic, lambdacalculus, Propositional classical logic. abstract, Combinatory logic shows that bound variables can be eliminated http://www.dmtcs.org/dmtcsojs/index.php/proceedings/article/view/dmAF0107/1653  

31. Constructive Logic And Lambda Calculus The lambda calculus (1); Combinatory logic (2); The fixed point theorem (3A, 3B; some remarks on 3D); Representing the recursive functions (4) http://www.cs.swan.ac.uk/~csetzer/foerelaesning/constrmath/index.html  

32. A FUNCTIONAL APPROACH TO COMPUTING Notes 20000315 S.Whitney J 1980 Seldin Hindley, To H.B.Curry Essays on Combinatory logic, Lambda Calculus and Formalism 1980 Henderson, Functional Programming 1982? http://kx.com/technical/contribs/stephen/talk1.txt 
33. Binary Combinatory Logic  Esolang John s Lambda Calculus and Combinatory logic Playground. Retrieved from http//www.esolangs.org/wiki/Binary_Combinatory_logic http://www.esolangs.org/wiki/Binary_combinatory_logic  

34. Science Links Japan  Treatment Of Types In The Framework Of Combinatory Logic A Abstract;In the framework of Lambda Calculus or Combinatory logic, as for treatment of types there exist two models, that is, one includes types and the http://sciencelinks.jp/jeast/article/200114/000020011401A0533166.php  

35. Lambda Calculus: Blogs, Photos, Videos And More On Technorati Binary Lambda Calculus and Combinatory logic While Anton was waxing about Church Turing, I figured that Occam s Razor would be the type of proof one would http://technorati.com/tag/Lambda+Calculus  

36. Cdiggins.com Â» Language Theory This list has been indispensible to me for understanding the relationship between Combinatory logic and the lambda calculus, as well as the relationship http://cdiggins.com/category/languagetheory/page/2/  

37. ScienceDirect  Journal Of Applied Logic : Editorial In P. Jonathan Seldin and J. Roger Hindley, Editors, To H.B. Curry Essays on Combinatory logic, Lambda Calculus, and Formalism, Academic Press, http://linkinghub.elsevier.com/retrieve/pii/S1570868304000102  

38. Joy Compared With Other Functional Languages One group comprises the lambda calculus and the programming languages Lisp, ML and Miranda. Another comprises Combinatory logic and the language FP by http://www.latrobe.edu.au/philosophy/phimvt/joy/j08cnt.html 
39. Readings: Theory Of Computation This is one of my fundamental sources on the lambda calculus. I want to pay particular attention to Combinatory logic (CL) and Combinatory algebra (CA). http://misertheory.info/readings/theory.htm  

40. 20th WCP: Dual Identity Combinators To H.B. Curry Essays on Combinatory logic, Lambda Calculus and Formalism, Academic Press, London c., pp. 479Â490. Meyer, R.K. 1976. http://www.bu.edu/wcp/Papers/Logi/LogiBimb.htm  

41. New Foundations Home Page Thomas Jech has worked on implementing the system of Combinatory logic TRC defined by Randall Holmes in his Ph. D. thesis and a subsequent paper under the http://math.boisestate.edu/~holmes/holmes/nf.html  

42. ML; Scope (15 Points) What Do The Following ML Expressions betaReduction (15 points) Using the betarule of the lambdacalculus, evaluate the following Your job is to write an interpreter for Combinatory logic. http://www.cs.indiana.edu/~sabry/teaching/proglang/sp00/midterm 
43. Great Works In Programming Languages In J. P. Seldin and J. R. Hindley, editors, To H. B. Curry Essays on Combinatory logic, Lambda Calculus, and Formalism, pages 479490. http://www.cis.upenn.edu/~bcpierce/courses/670Fall04/GreatWorksInPL.shtml  

44. Workshop On LambdaCalculus, Type Theory, And Natural Language, 2005 This page describes the second workshop on Lambda Calculus, Type Theory and Natural ``Types in early Combinatory logic . 1055, Coffee Break (25 mins) http://lcttnl.foxearth.org/  

45. Index We consider the lambdacalculus obtained from the simplytyped calculus by adding products, A Combinatory logic approach to higherorder Eunification. http://web.cs.wpi.edu/~dd/publications/  

46. Nekochan Net Ã¢ÂÂ¢ View Topic  Esoteric Languages... Well, lambda calculus and Combinatory logic play indeed an important role in logic itself no CS here yet. But, of course, in CS, they are at the heart http://forums.nekochan.net/viewtopic.php?f=1&t=15561&start=45 
47. Curry (printonly) After giving a very clear exposition of the fundamentals of Combinatory logic, showing its close relationship to the lambda calculus developed by Church, http://wwwgroups.dcs.stand.ac.uk/~history/Printonly/Curry.html  

48. Combinatory Logic  From Wolfram MathWorld conversion or lambda calculus by Church. The system of Combinatory logic is extremely fundamental, in that there are a relatively small finite numbers http://mathworld.wolfram.com/CombinatoryLogic.html  

49. A New Translation Algorithm From Lambda Calculus Into Combinatory Logic A New Translation Algorithm from Lambda Calculus into Combinatory logic. Source, Lecture Notes In Computer Science archive Proceedings of the 7th Portuguese http://portal.acm.org/citation.cfm?id=645375.651062 
50. Lambda Calculus History, brief survey, formal theory, fixed point (recursion) theorems, Combinatory logic Combinatory completeness, translations between lambda calculus http://users.comlab.ox.ac.uk/luke.ong/teaching/lambda/  

51. Full Bibliography Normalization by evaluation for typed lambda calculus with coproducts. In logic in Computer . Combinatory logic, Volume II. NorthHolland, Amsterdam. http://tlca.di.unito.it/opltlca/opltlcali1.html  

52. Combinator Module Users' Manual Combinatory logic (CL) is one language of mathematics.1 Like the lambda calculus, one expresses a function by combining a set of terms; unlike the lambda http://www.cotilliongroup.com/man/combinatorsman.html  

53. Glossary (n) a function with no free variables; one of the primitive functions on which the variant of lambda calculus known as Combinatory logic is built. http://community.schemewiki.org/?glossary 
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