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  2. Context-free grammar - Wikipedia

    en.wikipedia.org/wiki/Context-free_grammar

    Nonterminal symbols are blue and terminal symbols are red. In formal language theory, a context-free grammar (CFG) is a formal grammar whose production rules can be applied to a nonterminal symbol regardless of its context. In particular, in a context-free grammar, each production rule is of the form

  3. Terminal and nonterminal symbols - Wikipedia

    en.wikipedia.org/wiki/Terminal_and_nonterminal...

    On the other hand, Ψ has two rules that can change it, thus it is nonterminal. A formal language defined or generated by a particular grammar is the set of strings that can be produced by the grammar and that consist only of terminal symbols. Diagram 1 illustrates a string that can be produced with this grammar. Diagram 1.

  4. Context-sensitive grammar - Wikipedia

    en.wikipedia.org/wiki/Context-sensitive_grammar

    Let us notate a formal grammar as = (,,,), with a set of nonterminal symbols, a set of terminal symbols, a set of production rules, and the start symbol.. A string () directly yields, or directly derives to, a string (), denoted as , if v can be obtained from u by an application of some production rule in P, that is, if = and =, where () is a production rule, and , is the unaffected left and ...

  5. Noncontracting grammar - Wikipedia

    en.wikipedia.org/wiki/Noncontracting_grammar

    A context-sensitive grammar is a noncontracting grammar in which all rules are of the form αAβ → αγβ, where A is a nonterminal, and γ is a nonempty string of nonterminal and/or terminal symbols. However, some authors use the term context-sensitive grammar to refer to noncontracting grammars in general. [1]

  6. Greibach normal form - Wikipedia

    en.wikipedia.org/wiki/Greibach_normal_form

    Some do not permit the second form of rule and cannot transform context-free grammars that can generate the empty word. For one such construction the size of the constructed grammar is O(n 4) in the general case and O(n 3) if no derivation of the original grammar consists of a single nonterminal symbol, where n is the size of the original ...

  7. Conjunctive grammar - Wikipedia

    en.wikipedia.org/wiki/Conjunctive_grammar

    A conjunctive grammar is defined by the 4-tuple = (,,,) where . V is a finite set; each element is called a nonterminal symbol or a variable.Each variable represents a different type of phrase or clause in the sentence.

  8. Syntax diagram - Wikipedia

    en.wikipedia.org/wiki/Syntax_diagram

    The representation of a grammar is a set of syntax diagrams. Each diagram defines a "nonterminal" stage in a process. There is a main diagram which defines the language in the following way: to belong to the language, a word must describe a path in the main diagram. Each diagram has an entry point and an end point.

  9. Unrestricted grammar - Wikipedia

    en.wikipedia.org/wiki/Unrestricted_grammar

    An unrestricted grammar is a formal grammar = (,,,), where . is a finite set of nonterminal symbols,; is a finite set of terminal symbols with and disjoint, [note 1]; is a finite set of production rules of the form , where and are strings of symbols in and is not the empty string, and

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