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Topic: Regular grammar

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	PlanetMath: regular language
		A regular language is the set of strings generated by a regular grammar.
		Regular grammars are also known as Type-3 grammars in the Chomsky hierarchy.
		This is version 3 of regular language, born on 2002-02-23, modified 2004-04-03.
	planetmath.org /encyclopedia/RegularLanguage.html (174 words)

	PlanetMath: regular expression (Site not responding. Last check: 2007-10-10)
		Here is an example of a regular expression that specifies a grammar that generates the binary representation of all multiples of 3 (and only multiples of 3).
		A little further work is required to transform this grammar into an acceptable form for regular grammars, but it can be shown that this grammar (and any grammar specified by a regular expression) is equivalent to some regular grammar.
		This is version 5 of regular expression, born on 2002-02-24, modified 2004-04-03.
	planetmath.org /encyclopedia/RegularExpression.html (517 words)

	Regular grammar - Wikipedia, the free encyclopedia
		The regular grammars describe exactly all regular languages and are in that sense equivalent to finite state automata and regular expressions.
		Moreover, the right regular grammars by themselves are also equivalent to the regular languages, as are the left regular grammars.
		Regular grammars, which use either left-regular or right-regular rules but not both, can only express a smaller set of languages, called the regular languages.
	en.wikipedia.org /wiki/Regular_grammar (419 words)

	The Cover Pages: SGML/Regularity and Locality of String Languages and Tree Languages
		Regularity and non-locality of string languages and tree languages are considered.
		We suppose a string-local grammar that accepts the string "abac", and show that this grammar accepts more than this string Since the first terminal symbol is 'a', the start symbol has to be [a].
		A string-local grammar is a triplet , where T is a finite set of symbols, S is t, where t is some symbol, and P is a set of productions rules of the form t1 ::= (t1 is a symbol), or t1 ::= t2 (t1 and t2 are symbols).
	xml.coverpages.org /murataRegularity.html (1109 words)

	Regular Expressions
		Regular expressions are a context-independent syntax that can represent a wide variety of character sets and character set orderings, where these character sets are interpreted according to the current locale.
		Grammars describing the syntax of both basic and extended regular expressions are presented in this section.
		This section presents the grammar for extended regular expressions, excluding the bracket expression grammar.
	www.opengroup.org /onlinepubs/007908799/xbd/re.html (5095 words)

	Regular Language
		Regular expressions and regular grammars can be thought of as “generators” of strings in a language and automata can be thought of as “acceptors” of strings in a language. The set of all languages that these constructs are capable of working with is known as the “regular” languages.
		Invoke this option to create a regular expression in memory which represents the same regular language as the automaton currently in memory. The algorithm RLM uses to accomplish this is taken from [1], but a slight optimization has been made.
		Invoke this option to create a regular grammar in memory which represents the same regular language as the automaton currently in memory. The algorithm RLM uses to accomplish this is taken from [1].
	www.theese.com /rlm/rlm.html (4175 words)

	Formal grammar - Wikipedia, the free encyclopedia
		For example, all regular languages can be recognized by a finite state machine, and for useful subsets of context-free grammars there are well-known algorithms to generate efficient LL parsers and LR parsers to recognize the corresponding languages those grammars generate.
		In regular grammars, the left hand side is again only a single nonterminal symbol, but now the right-hand side is also restricted: It may be nothing, or a single terminal symbol, or a single terminal symbol followed by a nonterminal symbol, but nothing else.
		Although, in practice, regular grammars are commonly expressed using regular expressions, some forms of regular expression used in practice do not strictly generate the regular languages and do not show linear recognitional performance due to those deviations.
	en.wikipedia.org /wiki/Formal_grammar (1636 words)

	Regular Expressions
		Some utilities, instead, support the Extended Regular Expressions (ERE) described in Extended Regular Expressions; any exceptions for both cases are noted in the descriptions of the specific utilities using regular expressions.
		In the regular expression processing described in IEEE Std 1003.1-2001, the is regarded as an ordinary character and both a period and a non-matching list can match one.
		The extended regular expression (ERE) notation and construction rules shall apply to utilities defined as using extended regular expressions; any exceptions to the following rules are noted in the descriptions of the specific utilities using EREs.
	www.opengroup.org /onlinepubs/009695399/basedefs/xbd_chap09.html (4288 words)

	Notes on finite state automata with counters
		The regular expressions we are dealing with use a slightly unusual notation, although they denote the same set of languages as more conventional regular expressions.
		Informally, a weakly unambiguous regular expression allows semantic actions to be associated with the symbols of the expression, while a strongly unambiguous expression allows semantic actions to be associated unambiguously not only with the symbols but also with the repetition operators.
		Formally, an attribute grammar is a tuple consisting of a context free grammar, a semantic domain (types and operators), a set of attributes each associated with a non-terminal, a set of attribute evaluation rules, and a set of semantic conditions.
	www.w3.org /XML/2004/05/msm-cfa.html (6086 words)

	Grammar Format Specification
		If two or more imported rules have the same name and come from grammars with the same simple grammar name (but necessarily different package names), then a simple rule reference or qualified rule reference is ambiguous and is an error.
		In these instances, a grammar developer should use tokens that are as close as possible to the way people will speak and that are likely to be built into the vocabulary.
		For the two previous cases, the grammars are identical in the sense that the user may speak exactly the same utterances.
	java.sun.com /products/java-media/speech/forDevelopers/JSGF/JSGF.html (6370 words)

	Formal Language Definitions
		L(G) is the notation for a language defined by a grammar G. The grammar G recognizes a certain set of strings, thus a language.
		The building blocks of regular languages are symbols, concatenation of symbols to make strings (words), set union of strings and Kleene closure (denoted as , also called the Kleene star, it should be typed as a superscript but this is plain text.) Informally, we use a syntax for regular* expressions.
		Note: Type 0 grammars can have infinite loops in the parser for the grammar when a string not in the grammar is input to the parser.
	www.csee.umbc.edu /~squire/reference/lang_def.shtml (1263 words)

	Syntax
		Grammars are independent of computational models and are useful for the description of the structure of languages in general.
		Context-free grammars are used to describe the bulk of the language's structure; regular expressions are used to describe the lexical units (tokens); attribute grammars are used to describe the context sensitive portions of the language.
		In a derivation tree for an abstract grammar, the internal nodes are labeled with the operator and the the operands are their children and there are no concrete symbols in the tree.
	burks.brighton.ac.uk /burks/pcinfo/progdocs/plbook/syntax.htm (4860 words)

	CS 323 - Regular Grammars (Site not responding. Last check: 2007-10-10)
		A regular grammar is a grammar with restrictions placed on the kinds of rules that may be used.
		As you may have already guessed, the set of languages of regular grammars is the set of regular languages.
		A regular grammar is one that is either right-linear or left-linear.
	www.snc.edu /compsci/cs323_F02/reg_grammar.html (652 words)

	Grammar Types (Site not responding. Last check: 2007-10-10)
		Grammars are partitioned into 4 types, based on their complexity.
		A grammar is type 2, or context free, if the left side of each rule is a single nonterminal.
		A grammar is type 1, or context sensitive, if each string generates a string that is at least as long.
	www.mathreference.com /lan,0123.html (314 words)

	Regular Grammars, Machines, and Expressions (Site not responding. Last check: 2007-10-10)
		To demonstrate equivalence, construct a regular grammar for each fsm, a regular expression for each regular grammar, and then an fsm for each regular expression.
		Given a regular expression, construct a corresponding fsm using induction on the number of operators in the expression.
		Thus regular expressions determine fsms, and all three systems define the same languages, that is, regular languages.
	www.mathreference.com /lan,regall.html (428 words)

	GOLD Parsing System - Grammar Downloads (Site not responding. Last check: 2007-10-10)
		Oberon-00 is derived as a hardware-friendly subset of Oberon.
		This grammar, submitted by Richard Scheider, is for a graph language from ATandT known by the names Graphviz and Dot.
		This is the official grammar that is used internally by versions 2.6 and later of the GOLD Parser Builder.
	www.devincook.com /goldparser/grammars (1697 words)

	10. Bigloo -- Lalr(1) parsing
		Regular parser generators, like Lex, are often coupled with tools, such as Yacc and Bison, that can generate parsers for more powerful languages, namely (a subset of) context-free languages.
		The method for specifying the precedence for terminal symbols is described in Grammar Definition.
		This is specially true when the regular grammar detects the end of parsing.
	pauillac.inria.fr /cdrom_a_graver/www/bigloo/manual/bigloo-10.html (883 words)

	Taxonomy of XML Schema Languages using Formal Language Theory
		This grammar is a single-type tree grammar since no production rules have more than one non-terminal in their content models and thus there cannot be any competing non-terminals in the content models.
		Given a grammar and a tree, these algorithms determine whether that tree is generated by the grammar, and also construct interpretations of the tree.
		The class "regular" is the most expressive and is closed under boolean operations, while the other classes are weaker and are not closed under union and difference operations.
	www.cobase.cs.ucla.edu /tech-docs/dongwon/mura0619.xml (6870 words)

	Grammar Handbook: Regular and Irregular Verbs
		Verbs are subdivided into two groups, regular verbs and irregular verbs, on the basis of how their past tense and past participles are formed.
		Regular verbs are those whose past tense and past participles are formed by adding a -d or an -ed to the end of the verb.
		Dictionaries are perhaps the most valuable tool one can use in distinguishing between regular and irregular verbs.
	www.english.uiuc.edu /cws/wworkshop/writer_resources/grammar_handbook/regular_irregular_verbs.htm (166 words)

	CSC 4170 Regular Grammars (Site not responding. Last check: 2007-10-10)
		A regular grammar is either a right-linear grammar or a left-linear grammar.
		This grammar is neither right-linear nor left-linear, hence it is not a regular grammar.
		We have no reason to suppose that the language it generates is a regular language (one that is generated by a dfa).
	www.seas.upenn.edu /~cit596/notes/dave/reggram6.html (123 words)

	Untitled Document (Site not responding. Last check: 2007-10-10)
		These grammars all include tree fragments that don't follow the schema for regular grammars.
		However, the fact that a given grammar for a language is not regular doesn't mean that the language itself is not regular.
		There could be another grammar that generates/accepts the same language and this second grammar is regular.
	www.ling.upenn.edu /~kroch/courses/lx101/101.96-7.html (237 words)

	Increasing Visualization and Interaction
		The regular language transformations supported are converting an NFA to a DFA, a DFA to a minimum state DFA, an NFA to a regular grammar, and a regular grammar to an NFA.
		Pate is a parser for restricted and unrestricted grammars and a grammar transformer from a context-free grammar to Chomsky Normal Form (CNF).
		Given a grammar and an input string, the parser is an exhaustive search parser that builds a derivation tree (not displayed) of all possible derivations in a breadth-first manner.
	www.cs.duke.edu /~rodger/papers/cse00/cse00fin.html (2812 words)

	[No title]
		A grammar is a set of rewrite rules which are used to generarte strings by successively rewriting symbols.
		} is a regular grammar and it generates all the strings consisting of a's and b's including the empty string.
		For example, a regular grammar corresponding to the NFA given below is < Q, { a, b }, P, S >, where Q = { S, X, Y }, P = { S -> aS, S -> aX, X -> bS, X -> aY, Y -> bS, S -> a }.
	cs.odu.edu /~toida/nerzic/390teched/regular/grammar/reg-grammar.html (936 words)

	Automata Induction, Grammar Inference, and Language Acquisition
		Regular grammars are the simplest class of formal grammars in the Chomsky hierarrchy.
		An understanding of the issues and problems encountered in learning regular languages (or equivalently, identification of the corresponding DFA) are therefore likely to provide insights into the problem of learning more general classes of languages.
		Consequently, regular grammar inference from examples has received a great deal of attention in theoretical computer science, machine learning, syntactic pattern recognition, computational learning theory, and grammar inference communities.
	www.cs.iastate.edu /~honavar/ailab/projects/grammar.html (674 words)

	Formal Language Definitions (Site not responding. Last check: 2007-10-10)
		L(G) is the notation for a language defined by a grammar G. The grammar G recognizes a certain set of strings, thus defines a language.
		Context-free and regular grammars place restrictions on the form of productions i.e., restrictions on the form of u and w.
		A regular language is a set of strings from an alphabet which may be empty, finite or infinite and is described by a regular grammar G = (V, T, P, S) where the productions are restricted to the form:
	cs.wwc.edu /~aabyan/Theory/lang_def.html (1777 words)

	9. Bigloo -- Regular parsing
		The syntax for regular parser of Bigloo 2.0 (the one described in this document) is not compatible with former Bigloo versions.
		The first argument is a regular parser and the second a Scheme port.
		A regular parser is built by the means of the form
	pauillac.inria.fr /cdrom/www/bigloo/manual/bigloo-9.html (1051 words)

	Grammars (Site not responding. Last check: 2007-10-10)
		Any symbol used in the grammar which does not appear on the left-hand-side of some rule (ie.
		Note that any grammar may have an infinite number of sentences which can be derived; the set of all these sentences is the language defined by the grammar.
		However, not every grammar can be converted back to a regular expression; any grammar which can is called a regular grammar; the language it defines is a regular language.
	www.cs.may.ie /~jpower/Courses/parsing/node15.html (292 words)

	Stratego / Regular Tree Grammar
		A regular tree grammar defines a regular tree language.
		Regular tree grammars are widely applied as tools in formal reasoning, but in practice the basic formalism is hidden in languages designed at human users.
		A regular tree grammar consists of a list of start non-terminals and a list of productions.
	www.stratego-language.org /Stratego/RegularTreeGrammar (253 words)

	[No title]
		(true/false)________ 3) Given a subset of rules of a regular grammar B (aA A (a Build the piece of diagram for these rules according to the “Algorithm of construction of NFA from a regular grammar”.
		4) Given a piece of diagram (B is an accepting node) a A B what is the subset of rules (for this piece) of the corresponding grammar, built according to the “Algorithm of construction of a regular grammar from NFA”.
		Is R1(R2 regular expression (yes/no)?________ 9) A regular set can always be generated by a regular grammar (true/false)_________ 10) For every DFA M there is a regular grammar that generates L(M).(true/false)________ 11) Given a regular language L. Suppose the DFA accepting this language has k states.
	www.csc.calpoly.edu /~hghariby/Q6a445.DOC (378 words)

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