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单词 Type 1 grammar
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Type 1 grammar

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Noncontracting grammar

In formal language theory, a grammar is noncontracting (or monotonic) if all of its production rules are of the form α  β where α and β are strings of nonterminal and terminal symbols, and the length of α is less than or equal to that of β, |α| ≤ |β|, that is β is not shorter than α. A grammar is essentially noncontracting if there may be one exception, namely, a rule S → ε where S is the start symbol and ε the empty string, and furthermore, S never occurs in the right-hand side of any rule.

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