The First - Order Theory of Lexicographic Path Orderingsis
نویسنده
چکیده
We show, under some assumption on the signature, that the 9 8 fragment of the theory of a lexicographic path ordering is undecidable, both in the partial and in the total precedence cases. Our result implies in particular that the simpliication rule of ordered completion is undecidable.
منابع مشابه
Theories of orders on the set of words
It is shown that small fragments of the first-order theory of the subword order, the (partial) lexicographic path ordering on words, the homomorphism preorder, and the infix order are undecidable. This is in contrast to the decidability of the monadic second-order theory of the prefix order [M.O. Rabin, Trans. Amer. Math. Soc., 1969] and of the theory of the total lexicographic path ordering [P...
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تاریخ انتشار 1995