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Saarland University Computer Science

Verification of PCP-Related Computational Reductions in Coq

Yannick Forster, Edith Heiter, Gert Smolka

arXiv:1711.07023, 2017

We formally verify several computational reductions concerning the Post correspondence problem (PCP) using the proof assistant Coq. Our verifications include a reduction of a string rewriting problem generalising the halting problem for Turing machines to PCP, and reductions of PCP to the intersection problem and the palindrome problem for context-free grammars. Interestingly, rigorous correctness proofs for some of the reductions are missing in the literature.

Coq Formalisation - arxiv publication

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