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Topic: Recursive language


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  Puzzled monkeys reveal key language step - 15 January 2004 - New Scientist
This grammatical step, upon which all human languages depend, may be "the critical bottleneck of cognition that we had to go through in order to develop and use language", says Harvard University's Marc Hauser, who carried out the study with fellow psychologist Tecumseh Fitch, at the University of St Andrews, Scotland.
Premack argues that although recursive ability is not absolutely necessary for language - non-recursive sentences are possible - being unable to master recursion may have been a stumbling block that prevented monkeys from developing language.
However, it is not known whether modern humans are born with the ability to recognise recursive language patterns.
www.newscientist.com /article.ns?id=dn4572   (644 words)

  
  Roundabout, A Pattern Language for Recursive Programming
Recursion is especially useful in contexts involving inductively-defined data structures.
This pattern language assumes that the reader is familiar with BNF notation.
Woolf (1998) describes recursion in object-oriented programming, wherein an object computes an answer to a message by delegating the same message to its instance variables and then combining their answers.
www.cs.uni.edu /~wallingf/patterns/recursion.html   (4225 words)

  
  Recursive language
A recursive language in mathematics, logic and computer science, is a type of formal language which is also called recursive, decidable or Turing-decidable.
A recursive formal language is a recursive subset in the set of all possible words over the alphabet of the language.
A recursive language is a formal language for which there exists a Turing machine which will, when presented with any input string, halt and accept if the string is in the language, and halt and reject otherwise.
www.brainyencyclopedia.com /encyclopedia/r/re/recursive_language.html   (332 words)

  
  Recursive language - Definition, explanation
A recursive language in mathematics, logic and computer science, is a type of formal language which is also called recursive, decidable or Turing-decidable.
A recursive formal language is a recursive subset in the set of all possible words over the alphabet of the language.
A recursive language is a formal language for which there exists a turing machine which will, when presented with any input string, halt and accept if the string is in the language, and halt and reject otherwise.
www.calsky.com /lexikon/en/txt/r/re/recursive_language.php   (437 words)

  
 interdisciplines : La co-évolution du langage et de la théorie de l'esprit : Imitation, Quoting and Theory of Mind
Recursion entails phrase structure, but goes beyond it in that structures of the same type may be embedded within one another.
Recursion is not present at the phonological level (we cannot embed syllables within syllables) but is clearly present at the sentential level (we can embed phrases within phrases).
Fitch points to the striking parallel in the recursion of beliefs and of sentences, and suggests it is the recursion of beliefs that drives evolution of the recursion of sentences.
www.interdisciplines.org /coevolution/papers/4/4/1/language/fr   (3779 words)

  
 Puzzled monkeys reveal key language step - 15 January 2004 - New Scientist Tech
This grammatical step, upon which all human languages depend, may be "the critical bottleneck of cognition that we had to go through in order to develop and use language", says Harvard University's Marc Hauser, who carried out the study with fellow psychologist Tecumseh Fitch, at the University of St Andrews, Scotland.
Premack argues that although recursive ability is not absolutely necessary for language - non-recursive sentences are possible - being unable to master recursion may have been a stumbling block that prevented monkeys from developing language.
However, it is not known whether modern humans are born with the ability to recognise recursive language patterns.
www.newscientisttech.com /article/dn4572   (600 words)

  
 Universal TM, Universal Language
A Language that is Not RE By definition, a language is suppose to be a set.
A Recursive Language that is Not Context Sensitive
Earlier I asserted the existence of recursive languages that are not context sensitive.
www.mathreference.com /lan-tm,univ.html   (452 words)

  
 [No title]
(recursively enumerable) set iff L is G(M1) for some TM M1 L is recursive iff L is generated in canonical order (e, 0, 1, 00, 01, 10, 11, 000, 001,...) - undecidability a problem whose language is recursive is said to be decidable, otherwise undecidable.
properties of recursive and recursively enumerable languagse the complement of a recursive languages is recursive: the union of recursive languages is recursive.
language using a diagonalization proof we can show that the languages accepted by a TM are r.e.
carlstrom.com /stanford/comps/Automata-and-Formal-Languages.txt   (610 words)

  
 Guide to Translating www.gnu.org Web Pages - GNU Project - Free Software Foundation (FSF)
Translations Underway list, and check if there is already a team formed for the language you want to translate to.
Language and country codes do not have to be the same.
The two-letter language code is followed by the name of the language, and the name and e-mail address of the translation team leader.
www.gnu.org /server/standards/README.translations.html   (656 words)

  
 Intro - D Programming Language 2.0 - Digital Mars
The first D Programming Language Conference took place in Seattle at Amazon, Aug 23..24, 2007.
Its focus is on combining the power and high performance of C and C++ with the programmer productivity of modern languages like Ruby and Python.
The D language is statically typed and compiles directly to machine code.
www.digitalmars.com /d   (346 words)

  
 Gentoo : Intel® Pentium® 4 Computer Language Benchmarks Game
Switch from thread to thread passing one token
C++ recast into a language that is simple and orthogonal
Logic language based on a subset of first order logic
shootout.alioth.debian.org /gp4   (107 words)

  
 Definition of Recursive language
In computer science a formal language is called recursive or decidable if there exists an algorithm to decide for any given string w over the alphabet of the language, if w belongs to the language or not.
More formally, a formal language is called recursive if and only if it is a recursive subset in the set of all possible words over the alphabet of the language.
All regular, context-free and context-sensitive languages are recursive.
www.wordiq.com /definition/Recursive_language   (147 words)

  
 ScienceWeek
Recursion makes it possible for the words in a sentence to be widely separated and yet dependent on one another.
Recursion is not, of course, the only preexisting faculty on which the evolution of language depends.
Because such grammars are finite, whereas the languages they generate are infinite and contingently shaped by use, it is advantageous, and methodologically cogent, to consider the concept of grammar as primary, and that of language as derived.
scienceweek.com /2004/sb040227-1.htm   (1745 words)

  
 recursive, predictive, factor, backup, accept, return, getsym, Recursive, recursion, packrat, expect, block, Symbol - ...
A recursive descent parser is a top-down parser built from a set of mutually-recursive procedures (or a non-recursive equivalent) where each such procedure usually implements one of the production rules of the grammar.
Recursive descent with backup is a technique that determines which production to use by trying each production in turn.
Recursive descent with backup is not limited to LL(k) grammars, but is not guaranteed to terminate unless the grammar is LL(k).
www.alphasearch.org /Recursive-descent-parser.html   (673 words)

  
 Mastering recursive programming
Recursion is a tool not often used by imperative language developers, because it is thought to be slow and to waste space, but as the author demonstrates, there are several techniques that can be used to minimize or eliminate these problems.
With recursive programs that recurse instead of change state, the number of occasions of state change is small and the program variables maintain self-consistency by setting all of the recursion variables at once.
Recursion is a great art, enabling programs for which it is easy to verify correctness without sacrificing performance, but it requires the programmer to look at programming in a new light.
www-128.ibm.com /developerworks/linux/library/l-recurs.html   (5938 words)

  
 A Hierarchy of Formal Languages and Automata
A language is recursive on a given alphabet if there’s a Turing machine that accepts the language and halts on every string in the alphabet (but not the empty string, remember).
Since we have an algorithm to determine what language the word is in, the language is recursive as well as recursively enumerable.
Theorem 11.5 establishes that the family of recursive languages is a proper subset of the family of recursively enumerable languages, not a surprising fact given the previous theorems.
www2.hawaii.edu /~paulac/theory   (1253 words)

  
 CS200 Condensed
Languages are made of primitives (the smallest units of meaning), means of combination (ways to combine language forms to make new ones), and means of abstraction (ways to give new names to language forms).
Because language are recursive, we can express infinitely many different meanings starting with a finite number of primitives and means of combination.
A recursive definition has a base case that solves the simplest version of the problem directly, and a recursive case that divides the problem into a two problems (one of which is a simpler version of the problem) that can be combined to solve the original problem.
www.cs.virginia.edu /~evans/cs200-spring2003/condensed.html   (2620 words)

  
 Language Theory
The target language, that is the output of the compiler, is often assembler language or object code, but this is not necessarily the case.
Solutions for describing the semantics of a language tend to be exponential, since interactions between a modifier and the object of the modifier have to be described.
A left recursive language is a left recursive language, no matter what grammar is used to specify it, and left recursive languages cannot be parsed by mechanical means.
pages.prodigy.net /j_alan/hitech/compiler/comp2.html   (2994 words)

  
 [No title]
There are certainly languages that are recursive but not context-free and I would suspect that there are recursive languages that cannot be described at all by phrase structure grammars of any kind.
Recursive means that the language and its complement are both recursively enumerable.
language hinges on the question where the border of syntax is, and, as I wrote, I would prefer a definition of that borderline that is not dependent on formal grammars, in order to avoid circular reasoning.
www.lrz-muenchen.de /~hr/tmp/nat-cf.html   (4662 words)

  
 Turing Machine Reductions -- Notes   (Site not responding. Last check: )
Then we can assume that L1 is recursive which means there is a TM accepting L1 that always answers yes or no. Then we choose another language L2 that we have already proven is not recursive and show that using our TM for L1 we can construct a halting TM for L2.
Since the complement of a recursive language is recursive, L_u, the complement of L, must also be non-recursive.
In practice we will almost always use L_u to prove a language is not recursive and L_u-complement to prove a language is not r.e..
www.cs.utk.edu /~booth/380-01/notes/072701.html   (541 words)

  
 Recursive set Summary
In computability theory, a set of natural numbers is called recursive, computable or decidable if there is an algorithm which terminates after a finite amount of time and correctly decides whether or not a given number belongs to the set.
A recursive language is a recursive subset of a formal language.
The preimage of a recursive set under a total computable function is a recursive set.
www.bookrags.com /Recursive_set   (881 words)

  
 Quals: Computer Theory and Algorithms - SEWiki
A language is a subset of all possible strings formed from a given finite alphabet.
A recursively language is the set of strings accepted by some Turing machine that halts on all input.
A trivial property is one that all of the languages lack or all have.
www.cs.wm.edu /~coppit/wiki/index.php?title=Quals:_Computer_Theory_and_Algorithms   (6741 words)

  
 Review of existing Languages
Such language is often called "Embeddable", because you can embed it into most any application, a low-level interface being the current standard.
It should be possible for implementations to point to the language dialect used, to language dialects to point to main language family, to language families to point to groups of languages, etc, with implicitly inherited or explicitly modified properties.
being efficient as an interpreted language, it may serve as a shell language as well as a programming language; being powerful, and easy to specialize via standard libraries, it also replaces small utility languages (sed, awk, perl, etc); finally, being high-level and knowing of relations between objects, it is easily adaptated to an AI language.
tunes.org /Review/Languages.html   (1371 words)

  
 PlanetMath: recursively enumerable
fulfilling any (and therefore all) of the above conditions is called recursively enumerable.
The set of encodings of theorems of Peano arithmetic.
This is version 3 of recursively enumerable, born on 2002-06-05, modified 2002-06-05.
planetmath.org /encyclopedia/RecursivelyEnumerable.html   (108 words)

  
 A Simple Functional Language with Call-by-Value Semantics
Lazy languages do not suffer from the latter problem, because they evaluate all expressions lazily: the runtime system would not assume initialised locations and would either just keep looping trying to evaluate this example or (in some other cases) just delay evaluation of recursive subexpressions.
Recursive types are needed to specify inductively defined datastructures such as lists, binary trees, etc., or co-inductive ones like e.g.
Having given an overview of the language, we can now present the full abstract syntax that will be used throughout the text (please refer to the informal specification in section 2.1 to learn about the representation used in the implementation).
www.ocaml.info /msc_thesis/msc_thesis004.html   (2820 words)

  
 [No title]
In summary, there is a language which is not recursively enumerable, and there is a recursively enumerable language which is not recursive.
Chomsky was concerned, as we are here, only with specifying which utterances in a language are grammatically correct, that is to say, with the syntax of the language, and not with question of whether these utterances are meaningful, that is, with the semantics.
In short, the type 1 languages are a proper subset of the recursive ones, the type 2 languages a proper subset of the type 1, and the type 3 a proper subset of the type 2.
www.cs.queensu.ca /home/cisc366/topics.3.html   (4265 words)

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