Proving looping and non-looping non-termination by finite automata

J. Endrullis, H. Zantema

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A new technique is presented to prove non-termination of term rewriting. The basic idea is to find a non-empty regular language of terms that is closed under rewriting and does not contain normal forms. It is automated by representing the language by a tree automaton with a fixed number of states, and expressing the mentioned requirements in a SAT formula. Satisfiability of this formula implies non-termination. Our approach succeeds for many examples where all earlier techniques fail, for instance for the S-rule from combinatory logic. Keywords: non-termination, finite automata, regular languages
Original languageEnglish
Number of pages20
Publication statusPublished - 2015

Publication series

Volume1505.00478 [cs.LO]


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