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  2. 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.

  3. 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]

  4. Context-free grammar - Wikipedia

    en.wikipedia.org/wiki/Context-free_grammar

    An extended context-free grammar (or regular right part grammar) is one in which the right-hand side of the production rules is allowed to be a regular expression over the grammar's terminals and nonterminals. Extended context-free grammars describe exactly the context-free languages.

  5. 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 ...

  6. Greibach normal form - Wikipedia

    en.wikipedia.org/wiki/Greibach_normal_form

    In formal language theory, a context-free grammar is in Greibach normal form (GNF) if the right-hand sides of all production rules start with a terminal symbol, optionally followed by some variables. A non-strict form allows one exception to this format restriction for allowing the empty word (epsilon, ε) to be a member of the described language.

  7. Indexed grammar - Wikipedia

    en.wikipedia.org/wiki/Indexed_grammar

    Gerald Gazdar has defined a second class, the linear indexed grammars (LIG), [14] by requiring that at most one nonterminal in each production be specified as receiving the stack, [note 2] whereas in an ordinary indexed grammar, all nonterminals receive copies of the stack. Formally, a linear indexed grammar is defined similar to an ordinary ...

  8. 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

  9. 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.

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