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1. Combinatory Logic - Wikipedia, The Free Encyclopedia Retrieved from http//en.wikipedia.org/wiki/Combinatory_Logic . Categories Lambda calculus Logic in computer science Combinatory logic http://en.wikipedia.org/wiki/Combinatory_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia"; Combinatory logic From Wikipedia, the free encyclopedia Jump to: navigation search Not to be confused with combinational logic , a topic in digital electronics. Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic . It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages . It is based on combinators . A combinator is a higher-order function which, for defining a result from its arguments, solely use function application and earlier defined combinators. Contents Combinatory logic in mathematics Combinatory logic in computing Summary of the lambda calculus Combinatory calculi ... edit Combinatory logic in mathematics Combinatory logic was originally intended as a 'pre-logic' that would clarify the role of quantified variables in logic, essentially by eliminating them. Another way of eliminating quantified variables is Willard Van Orman Quine 's predicate functors . While most systems of combinatory logic exceed the expressive power of first-order logic The original inventor of combinatory logic, Sch¶nfinkel, published nothing on combinatory logic after his original

2. Combinatory Logic - English Dictionary english to english dictionary containing references. http://www.online-dictionary.biz/english/vocabulary/reference/combinatory_logic.

var language=0; var from='english'; var to='english'; Online Dictionary Chinese to English English to Chinese ... French to English German to English to Japanese Italian to English Japanese to English to German Latin to English Russian to English ... Swedish to English If you can't find the translation you need, try our free translation Combinatory Logic - English Dictionary 1. combinatory logic A system for reducing the operational notation of logic, mathematics or a functional language to a sequence of modifications to the input data structure. First introduced in the 1920's by Schoenfinkel. Re-introduced independently by Haskell Curry in the late 1920's who quickly learned of Schoenfinkel's work after he had the idea. Curry is really responsible for most of the development, at least up until work with Feys in 1958. See combinator. A B C D ... Z All content on this website is property of LocalTranslation unless stated otherwise. document.getElementById("generationTime").innerHTML='('+(0.53)+' seconds)'; document.getElementById("generationTime").innerHTML='('+(0.53)+' seconds)';

3. Combinatory Logic - Wikipedia Combinatory logic. Combinatory logic is a simplified model of computation, used in computability theory (the study of what can be computed) and proof theory http://facetroughgemstones.com/wikipedia/co/Combinatory_logic.html

Contents Combinatory logic Combinatory logic is a simplified model of computation , used in computability theory (the study of what can be computed) and proof theory (the study of what can be mathematically proven .) The theory, despite its simplicity, captures many essential features of the nature of computation. Combinatory logic is a variation of the Lambda calculus , in which lambda expressions (used to allow for functional abstraction) are replaced by a limited set of primitive functions. Note that the "combinatorial logic" used in electronics is different; see combinatorial logic (electronics) Table of contents showTocToggle("show","hide") 1 Summary of the Lambda Calculus 2 Combinatory Calculi 2.1 Combinatory Terms 2.2 Examples of Combinators ... 6 References Summary of the Lambda Calculus For complete details about the lambda calculus , see the article under that head. We will summarize here. The lambda calculus is concerned with objects called lambda-terms , which are strings of symbols of one of the following forms: v where v is a variable name drawn from a predefined infinite set of variable names, and

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http://www.haskell.org/haskellwiki/Combinatory_logic http://www.haskell.org/haskellwiki/Combinatory_logic

5. Require Export ZArith. Require Export List. Require Export Arith End Trying_auto. End bad_proof_for_auto. Section Combinatory_Logic. End Combinatory_Logic. Theorem example_for_subst forall (a b c dnat), http://www.labri.fr/perso/casteran/CoqArt/autotac/SRC/chap7.v

Require Export ZArith. Require Export List. Require Export Arith. Ltac caseEq f := generalize (refl_equal f); pattern f at -1; case f. Section bad_proof_example_for_Induction1. Theorem le_plus_minus' : forall n m:nat, m n = m+(n-m). Proof. intros n m H. induction n. rewrite <- le_n_O_eq with (1 := H); simpl; trivial. Abort. End bad_proof_example_for_Induction1. Theorem simpl_pattern_example : 3*3 + 3*3 = 18. Proof. simpl (3*3) at 2. lazy beta iota zeta delta [mult]. simpl. trivial. Qed. Theorem lazy_example : forall n:nat, (S n) + = S n. Proof. intros n; lazy beta iota zeta delta. fold plus. (* attendre un commit *) rewrite plus_0_r; reflexivity. Qed. Hint Extern 4 (_ le n m. Proof. intros n m H. auto with le_base. Qed. Lemma unprovable_le : forall n m:nat, n <= m. Proof. Time auto with arith. Time auto with le_base arith. Abort. Section bad_proof_for_auto. Section Trying_auto. Variable l1 : forall n m:nat, S n n <= m. Theorem unprovable_le2 : forall n m:nat, n <= y <= t x = t. Proof. intros x y z t H; omega. Qed. Theorem omega_example2 : forall x y:Z

6. Discrete Mathematics/Combinatory Logic - Wikibooks, Collection Of Open-content T Retrieved from http//en.wikibooks.org/wiki/Discrete_mathematics/Combinatory_Logic . Subject Discrete mathematics (book) http://en.wikibooks.org/wiki/Discrete_mathematics/Combinatory_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikibooks"; Discrete mathematics/Combinatory logic From Wikibooks, the open-content textbooks collection Discrete mathematics Jump to: navigation search Two of the basic principles of combinatory logic in discrete mathematics are the Sum principle and the Multiplication principle. The sum principle holds true in a given partitioned set X where partition Xi intersected with Xj is the empty set unless i is equal to j. The principle states that in such a partitioned set, the sum of the elements of each partition is equal to the number of elements in the set X. Retrieved from " http://en.wikibooks.org/wiki/Discrete_mathematics/Combinatory_logic Subject Discrete mathematics (book) Views Module Discussion Edit this page History Personal tools Log in / create account Navigation Main Page Help Cookbook Wikijunior ... Donations Community Bulletin Board Community portal Reading room Help cleanup ... Contact us Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 21:14, 12 October 2007. All text is available under the terms of the GNU Free Documentation License (see for details).

7. Combinatory Logic - Wiktionary Retrieved from http//en.wiktionary.org/wiki/Combinatory_Logic . Categories English nouns Computer Science. Views. Article Discussion Edit History http://en.wiktionary.org/wiki/combinatory_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wiktionary"; combinatory logic From Wiktionary Jump to: navigation search edit English Wikipedia has an article on: Combinatory logic Wikipedia edit Noun Singular combinatory logic Plural uncountable combinatory logic uncountable computer science Model of computation based on combinators edit Translations Croatian: kombinatorna logika (hr) f Retrieved from " http://en.wiktionary.org/wiki/combinatory_logic Categories English nouns Computer Science Views Article Discussion Edit History Personal tools Log in / create account Navigation Main Page Community portal Requested entries Recent changes ... Contact us Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 14:47, 13 November 2007. Content is available under GNU Free Documentation License About Wiktionary

8. Trying To Remember .... - Object Mix lambda calculus would also lead there. See http//en.wikipedia. org/wiki/Combinatory_Logic . Digg this Post! Add Post to del.icio http://objectmix.com/scheme/186200-trying-remember.html

Object Mix Trying to remember .... This is a discussion on Trying to remember .... within the Scheme forums, part of the Programming Languages category; I was talking to a friend earlier today, and we ended up talking about s-expressions, scheme, lisp etc. I ... Object Mix Programming Languages Scheme Trying to remember .... User Name Remember Me? Password Home Register FAQ Calendar ... Display Modes 05-02-2007, 04:55 AM Trying to remember .... I was talking to a friend earlier today, and we ended up talking about s-expressions, scheme, lisp etc. I remember reading in a book, a few years ago, that the basic operations of scheme and lisp could be reduced to a very small (four or so) basic operators. These were represented as single letters (in capitals). I distinctly remember this as I wrote a simple (non-lambda) s-expression parser in Java about the same time. For the life of me I cannot remember what these letters were or what operations they represented. Google has failed me, and as for the book - its somewhere in the deepest regions of my parents' garage.

9. Chaitin's Construction/Combinatory Logic - HaskellWiki Retrieved from http//www.haskell.org/haskellwiki/Chaitin%27s_construction/ Combinatory_Logic . This page has been accessed 474 times. http://www.haskell.org/haskellwiki/Chaitin's_construction/Combinatory_logic

Haskell Wiki community Recent changes Random page ... Special pages Not logged in Log in Help Edit this page Discuss this page ... Related changes Chaitin's construction/Combinatory logic Chaitin's construction Categories Theoretical foundations Contents CL CL extension Base symbol Combinatory logic term modules edit 1 CL module CL CL, k, s, apply where import Tree Tree Leaf, Branch import BaseSymbol BaseSymbol, kay, ess type CL = Tree BaseSymbol k, s CL k = Leaf kay s = Leaf ess apply CL CL CL apply = Branch edit 2 CL extension module CLExt where import CL CL, apply import Control. Monad Monad Monad m = m CL m CL m CL = liftM2 apply edit 3 Base symbol module BaseSymbol BaseSymbol, kay, ess where data BaseSymbol kay = K ess = S Retrieved from " http://www.haskell.org/haskellwiki/Chaitin%27s_construction/Combinatory_logic This page has been accessed 506 times. This page was last modified 14:34, 4 August 2006. Recent content is available under a simple permissive license Recent content is available under a simple permissive license

10. Combinatory Logic - Esolang Online course in combinatory logic using Scheme (Wayback). Retrieved from http//www.esolangs.org/wiki/Combinatory_Logic . Category Computational models http://www.esolangs.org/wiki/Combinatory_logic

Combinatory logic From Esolang Jump to: navigation search Combinatory logic is a model by which logical statements can be described as a combination of a small number of primitive elements called combinators . Each combinator is like a function or lambda abstraction, but without any free variables. A "sentence" in combinatory logic is called a combinatory term , and is composed of combinators, free variables, and applications of one combinatory term to another. Combinatory logic can capture the meaning of any arithmetic or logical statement (and by extension, any non-interactive computer program), making it a Turing-complete computational model. It is often described and/or implemented in terms of rewriting (of graphs, trees, or terms). Contents Syntax Combinators Example See also ... edit Syntax The syntax commonly used for combinators is like that of the lambda calculus : each combinator only takes one argument (but may yield another combinator which will consume further arguments), application associates to the left, and parentheses are only used for disambiguation, not to delimit an argument list.

11. Chaitin's Construction/Combinatory Logic - HaskellWiki Retrieved from http//haskell.cs.yale.edu/haskellwiki/Chaitin%27s_construction/ Combinatory_Logic . This page has been accessed 360 times. http://haskell.cs.yale.edu/haskellwiki/Chaitin's_construction/Combinatory_logic

Haskell Wiki community Recent changes Random page ... Special pages Not logged in Log in Help Edit this page Discuss this page ... Related changes Chaitin's construction/Combinatory logic Chaitin's construction Categories Theoretical foundations Contents CL CL extension Base symbol Combinatory logic term modules edit 1 CL module CL CL, k, s, apply where import Tree Tree Leaf, Branch import BaseSymbol BaseSymbol, kay, ess type CL = Tree BaseSymbol k, s CL k = Leaf kay s = Leaf ess apply CL CL CL apply = Branch edit 2 CL extension module CLExt where import CL CL, apply import Control. Monad Monad Monad m = m CL m CL m CL = liftM2 apply edit 3 Base symbol module BaseSymbol BaseSymbol, kay, ess where data BaseSymbol kay = K ess = S Retrieved from " http://haskell.cs.yale.edu/haskellwiki/Chaitin%27s_construction/Combinatory_logic This page has been accessed 507 times. This page was last modified 14:34, 4 August 2006. Recent content is available under a simple permissive license Recent content is available under a simple permissive license

12. Talk:Combinatory Logic - Indopedia, The Indological Knowledgebase Retrieved from http//indopedia.org/TalkCombinatory_logic.html . This page has been accessed 35 times. This page was last modified 0003, http://indopedia.org/Talk:Combinatory_logic.html

Indopedia Main Page FORUM Help ... Log in The Indology CMS Printable version Wikipedia Article Talk:Combinatory logic ज्ञानकोश: - The Indological Knowledgebase An interesting start. I picked this up from the comment in Lambda calculus Are you going to do supercombinators I had hoped that someone more familiar with compiler construction would complete that part of the 'Applications' section and discuss supercombinators in the process. Dominus 20:04 Nov 23, 2002 (UTC)) Also, related topics might include graph reduction machines. User:David Martland Is this the same subject as what is called "combinatory" logic? "Combinatorial" usually means "pertaining to combinatorics"; is the same meaning intended here? Mike Hardy The title is wrong: it should be "combinatory logic". See for instance . "Combinatorial logic" is often used for boolean logic used in circuit design. I am renaming. AxelBoldt 19:50 Nov 23, 2002 (UTC) Thanks. Dominus 20:04 Nov 23, 2002 (UTC) Possible error in Turner's T [ ] Transformation: In rules 7. and 8., terms and resp. remain untransformed. I think the correct rules are:

13. Computer Dictionary/combinatory Logic - 18DAO Reference Wiki - En.18dao.net Retrieved from http//en.18dao.net/Computer_Dictionary/Combinatory_Logic . Categories Computer Dictionary Computer Dictionary/logic http://en.18dao.net/Computer_Dictionary/combinatory_logic

Computer Dictionary/combinatory logic From En.18dao.net Computer Dictionary Jump to: navigation search Position: Main Page Network Category Computer Dictionary Content: A system for reducing the operational notation of logic , mathematics or a functional language to a sequence of modifications to the input data structure. First introduced in the 1920's by Schoenfinkel . Re-introduced independently by Haskell Curry in the late 1920's (who quickly learned of Schoenfinkel's work after he had the idea). Curry is really responsible for most of the development, at least up until work with Feys in 1958. See combinator Interaction Error Correction Recommendation Information ... More Search Using Google to search inside this website “ Computer Dictionary/combinatory logic ” and outside this website “ Computer Dictionary/combinatory logic Retrieved from " http://en.18dao.net/Computer_Dictionary/combinatory_logic Categories Computer Dictionary Computer Dictionary/logic Web en.18dao.net Views Article Discussion View source History Personal tools Log in / create account Navigation Main Page Category Life Category Study Category Work ... Category Finance Wiki Community portal Current events Recent changes Random page ... Edit Manual Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page has been accessed 18 times.

14. - Retrieved from http//wikitionary.biz/Combinatory_Logic . Categories English nouns Computer Science. Views. Article; Discussion; Edit; History http://wikitionary.biz/index.php?title=combinatory_logic

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Free Registration Download Engineering Toolbar GlobalSpec Home Find: Advanced Search >> The Engineering Web Part Number Search Engineering News Application Notes Material Properties Patents Standards changeSearchInfo('products', true, null); Welcome to GlobalSpec! We found this content for: combinatory logic Click on a category to narrow your results. Product-Centric E-Newsletters Receive the latest news, trends, and technology with GlobalSpec's e-newsletters - FREE. ( See Titles All Part Number Search Engineering News ... Standards Product Categories for combinatory logic Logic Analyzers (56 companies) Logic analyzers are used to characterize and debug hardware, design and test firmware and software, and perform synthesis integration. Learn more about Logic Analyzers Programmable ... Devices (PLD (135 companies) Programmable logic devices (PLD) are designed with configurable logic and flip-flops linked together with programmable interconnect. PLDs provide specific functions, including device-to-device interfacing, data communication, signal processing, data display, timing and control operations, and almost every other function a system must perform. Programmable logic devices (PLD) are designed with configurable logic and flip-flops linked together with programmable interconnect. PLDs provide specific functions, including device-to-device interfacing, data communication, signal processing.

18. Wiki Combinatory Logic Wiki Combinatory logic. Contents 1. Combinatory logic in mathematics 2. Combinatory logic in computing 3. Summary of the lambda calculus http://wapedia.mobi/en/Combinatory_logic

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19. Combinatory Logic | English | Dictionary & Translation By Babylon combinatory logic. Dictionary terms for combinatory logic in English, English definition for combinatory logic, Thesaurus and Translations of combinatory http://www.babylon.com/definition/combinatory_logic/English

combinatory logic Define combinatory logic Translate combinatory logic combinatory logic in Chinese combinatory logic in Spanish combinatory logic in German combinatory logic in Serbian ... Download this dictionary Combinatory logic This article is about a topic in mathematical logic and theoretical computer science, not to be confused with combinational logic , sometimes known as combinatorial logic, a topic in digital electronics . Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic . It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages. It is based on combinators, which are higher-order functions that solely use function application and possibly other, earlier defined combinators for defining a result from their arguments. See more at Wikipedia.org... This article uses material from Wikipedia and is licensed under the GNU Free Documentation License FOLDOC Dictionary Download this dictionary combinatory logic A system for reducing the operational notation of logic , mathematics or a functional language to a sequence of modifications to the input data structure. First introduced in the 1920's by

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22. Combinatory Logic A selection of articles related to combinatory logic. http://www.experiencefestival.com/combinatory_logic

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24. Upto11.net - Wikipedia Article For Combinatory Logic This article is about a topic in theoretical computer science, and is not to be confused with combinatorial logic, a topic in electronics. http://www.upto11.net/generic_wiki.php?q=combinatory_logic

25. Good Book On Combinatory Logic - Sci.logic | Google Groups http//cs.wwc.edu/~aabyan/LN/PL/book/node109.html skioptim http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C http://groups.google.gy/group/sci.logic/msg/9ec94648f2aaca7d

Help Sign in sci.logic Discussions ... Subscribe to this group This is a Usenet group - learn more Message from discussion good book on combinatory logic The group you are posting to is a Usenet group . Messages posted to this group will make your email address visible to anyone on the Internet. Your reply message has not been sent. Your post was successful Jan Burse View profile More options Dec 16, 4:43 pm Newsgroups: sci.logic From: Date: Sun, 16 Dec 2007 21:43:12 +0100 Local: Sun, Dec 16 2007 4:43 pm Subject: Re: good book on combinatory logic Reply Reply to author Forward Print ... Find messages by this author translogi schrieb: > And that does "full" FOL in combinatory logic. (First order Logic If you do not involve set theory and when you are not interested in a proof theory, but only expressing formulas without variables. Then you can go along as follows: The SKI conversion needs only be applied to expressions of the form lambda x.t. Prime formulas do not have this form, so they stay as they are. Although they might include variables. These variables are later removed

26. Combinatory Logic Books Find the lowest price on new and used Combinatory logic Books. http://www.allbookstores.com/Combinatory_Logic.html

Search By: Keyword Title Author ISBN Browse: Choose a subject: Art Children's Books Christian Books History Gardening Horror Mystery Oprah Book Club Photography Reference Romance Science Science Fiction Sports Technology Travel Art Children's Books Christian Books History ... Subjects : Combinatory logic You may sort these results by title or by publication date 19 titles (showing 1-19) Coding, Cryptography And Combinatorics by Harald Niederreiter (Editor), Chaoping Xing (Editor), Ke-Qin Feng August 2004, Hardcover, 23rd edition List Price: $139.00 Coding, Cryptography And Combinatorics by Harald Niederreiter (Editor), Chaoping Xing (Editor), Ke-Qin Feng Ke-Qin Feng (Editor) June 2004, Hardcover List Price: $55.01 The Combinatory Programme by Erwin Engeler January 1995, Hardcover List Price: $103.00 The Combinatory Programme by Erwin Engeler January 1995, Book Combinatory Semantics by Dr. Jerzy Pogonowski January 1993, Book, 1st edition Computability in Combinatory Spaces : An Algebraic Generalization of Abstract First Order Computability by Dimiter Genchev Skordev March 1992, Hardcover

27. Definition Of "combinatory Logic" At Define.com Dictionary And Thesaurus 1 definition found From The Free Online Dictionary of Computing (27 SEP 03) foldoc combinatory logic A system for reducing the operational notation of http://define.com/combinatory_logic

definition found From The Free On-line Dictionary of Computing (27 SEP 03) [foldoc]: combinatory logic A system for reducing the operational notation logic mathematics ... sequence of modifications to the input data structure First ... late 1920's ( who quickly learned of Schoenfinkel 's work after he had the idea Curry is really ... responsible for most of the development at least up ... Feys in 1958. See combinator Definitions retrieved on December 24, 2007 at 07:09:33 GMT from local copies of the freely distributed DICT client/server software and databases

28. File: Combinatory.class.php - Combinatory Logic - PHP Classes http//en.wikipedia.org/wiki/Combinatory_Logic * * EXAMPLES http://www.phpclasses.org/browse/file/7541.html

: Network Member Forums File: Combinatory.class.php Search All class groups Latest entries Top 10 charts ... Recommend this page to a friend! Classes of Andrea Giammarchi Combinatory Logic Combinatory.class.php File Combinatory.class.php Role Class source Content type text/plain Description Core class Class Combinatory Logic Calculate and generate array element combinations Contents: Download * Class Combinatory * Creates and returns an Array with all possibilities for n vars with a k class. * For more info about Combinatory Logic, visits this site: * http://en.wikipedia.org/wiki/Combinatory_logic * EXAMPLES: * $container = Array( '3', '1', '2' ); * // METHODS TO CALCULATE: Pn - Pn(k) - Dn,k - D'n,k - Cn,k - C'n,k * echo count( $matches ); * var_dump( $matches ); * //OUTPUT * string(3) "3-1" * string(3) "3-2" * string(3) "1-2" * @author Andrea Giammarchi * @site www.3site.it * @date 13/10/2004 * @last_mod 22/01/2007 17:20 - tested with PHP 5.2 E_STRICT, removed few notices * @compatibility PHP4, 5, 5.2

29. AGIRI Forums Wikipedia http//en.wikipedia.org/wiki/Cognitive_psychology; Wikipedia http//en.wikipedia.org/wiki/Combinatory_Logic http://www.agiri.org/forum/index.php?act=Print&client=html&f=5&t=37

30. Good Book On Combinatory Logic - Sci.logic | Google Groups http//cs.wwc.edu/~aabyan/LN/PL/book/node109.html skioptim http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C. Reply Reply to author Forward http://groups.google.co.zm/group/sci.logic/msg/9ec94648f2aaca7d

Help Sign in sci.logic Discussions ... Subscribe to this group This is a Usenet group - learn more Message from discussion good book on combinatory logic The group you are posting to is a Usenet group . Messages posted to this group will make your email address visible to anyone on the Internet. Your reply message has not been sent. Your post was successful Jan Burse View profile More options Dec 16, 10:43 pm Newsgroups: sci.logic From: Date: Sun, 16 Dec 2007 21:43:12 +0100 Local: Sun, Dec 16 2007 10:43 pm Subject: Re: good book on combinatory logic Reply Reply to author Forward Print ... Find messages by this author translogi schrieb: > And that does "full" FOL in combinatory logic. (First order Logic If you do not involve set theory and when you are not interested in a proof theory, but only expressing formulas without variables. Then you can go along as follows: The SKI conversion needs only be applied to expressions of the form lambda x.t. Prime formulas do not have this form, so they stay as they are. Although they might include variables. These variables are later removed

31. Scheme Programming Language :: Trying To Remember .... http//en.wikipedia.org/wiki/Combinatory_Logic . On May 2, 1008 am, Jussi Piitulainen jpiit@ling.helsinki.fi wrote. oPless writes http://www.megasolutions.net/scheme/Trying-to-remember_-64451.aspx

Home .Net Programming cSharp Home Sql Server Home ... MS Dynamics CRM 3.0 Scheme Programming Language Trying to remember .... I was talking to a friend earlier today, and we ended up talking about s-expressions, scheme, lisp etc. I remember reading in a book, a few years ago, that the basic operations of scheme and lisp could be reduced to a very small (four or so) basic operators. These were represented as single letters (in capitals). I distinctly remember this as I wrote a simple (non-lambda) s-expression parser in Java about the same time. For the life of me I cannot remember what these letters were or what operations they represented. Google has failed me, and as for the book - its somewhere in the deepest regions of my parents' garage. Could anyone please help me rediscover this info ? oPless writes: You may be thinking of S and K, which together with I are four or so. The keyword for search is "combinatory logic", though I suspect that "lambda calculus" would also lead there. See: http://en.wikipedia.org/wiki/Combinatory_logic

32. Note Stvn P Another Favorite Higher Order Function Of Mine Is if you really want to make your head spin, there is always http//en.wikipedia. org/wiki/Combinatory_Logic Combinatory_calculi combinators. http://www.perlmonks.org/?displaytype=xml;node_id=380554

33. Nabble - A One Combinator Basis For Cat! I figured it with help from http//en.wikipedia.org/wiki/Combinatory_Logic A flat onecombinator concatenative language would probably require a http://www.nabble.com/A-One-Combinator-Basis-for-Cat!-t2944527.html

Nabble.setVar("skin",null); Nabble.page = 'forum.ViewTopic'; A One Combinator Basis for Cat!

34. Haskell-2007-09-09 003205, mr_tenor , according to http//en.wikipedia.org/wiki/Combinatory_Logic, isn t the set of combinators equivalent to the set of higher order pure http://tuukka.iki.fi/tmp/haskell-2007-09-09.html

Experimental IRC log haskell-2007-09-09 Available formats: content-negotiated html turtle (see SIOC for the vocabulary) Back to channel and daily index: content-negotiated html turtle These logs are provided as an experiment in indexing discussions using IRCHub.py, Irc2RDF.hs, and SIOC. add an instance declaration for (Num [t]) In the expression: (+ 1) ([1 ... earnest, well, there's be brackets everywhere All that really needs to be said is that we'd rather write 'f a b c' to apply a function to three arguments as opposed to '((f a) b) c' a lot of functions in haskell take multiple parameters that way hm i didnt know this would happen ahh, gotcha. you could always build irc for fbsd :) anyway, a couple more points of syntax: the body of a lambda, a let/in, and suchlike other things extends as far to the right as it can. that's a useful one to remember. I mean I could implement one using a web server which I can do when I get ghc6.6 working newsham: true Network clipboard! ddarius: tell me more I'm not suggesting something. hpaste the thing you want to copypaste?

35. Comb - Meaning Of Word Combinatory_Logic Combinatory_Logic Combinatory_Logic/to_do Combinator_graph_reduction Combinatronic Combine Combine Combine,_Texas Combine,_TX http://wordsonline.org/Comb

Comb Online advertising plastic comb with a handle]] A comb is a device made of solid material, generally flat, always toothed, used for staightening and cleaning hair or other fibers. The etymology of the English word is extremely ancient, going straight back to Indo-European roots meaning "tooth", "toothed", "to bite", and found in ancient Greek language and Sanskrit . Combs are among the older tool s known to mankind, having been found in very refined forms already in settlements dating back to 5000 years ago in Iran Scythia n golden comb, 5th century B.C. ( Hermitage Museum kazoo . * Annoying people by making monotonous noises plinging repetitively at comb teeth of identical length and harmonic qualities. Boring as this may seem