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The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
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The search session has expired. Please query the service again.
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The search session has expired. Please query the service again.
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The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
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The search session has expired. Please query the service again.
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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. Narendran and M. Rusinowitch, Lect. Notes Artificial Intelligence, 2000] and, in case of the subword...
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. Narendran and M. Rusinowitch, Lect. Notes Artificial
Intelligence, 2000] and, in case of the
...
We give a complete proof that all 3-quantifier sentences in the primitive notation of set theory (∈, =), are decided in ZFC, and in fact in a weak fragment of ZF without the power set axiom. We obtain information concerning witnesses of 2-quantifier formulas with one free variable. There is a 5-quantifier sentence that is not decided in ZFC (see [2]).
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