All the new strings generated

Reference no: EM13161729

Suppose we want to tell whether a particular string s is in the language of some syntactic category .

a) Explain why, if on some round, all the new strings generated for any syntactic category are longer than s, and s has not already been generated for L(), then s cannot ever be put in L(). Hint: Use Exercise 11.3.5.

b) Explain why, after some finite number of rounds, we must fail to generate any new strings that are as short as or shorter than s.

Reference no: EM13161729

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