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Prove that there is no algorithm that determines whether the intersection of the languages of two context-free grammars contains infinitely many elements.

    Prove that there is no algorithm that determines whether the intersection of the languages of two context-free grammars contains infinitely many elements.

Languages and Machines: An Introduction to the Theory of Computer Science

Languages and Machines: An Introduction to the Theory of Computer Science

Thomas A. Sudkamp 2nd Edition

Chapter 11, Problem 30

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The problem asks us to prove that there is no algorithm that can determine whether the intersection of the languages of two context-free grammars (CFGs) contains infinitely many elements. This involves concepts from formal languages, context-free grammars, and Show more…

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Prove that there is no algorithm that determines whether the intersection of the languages of two context-free grammars contains infinitely many elements.

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