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Paper detail

An effective characterization of the alternation hierarchy in two-variable logic

We characterize the languages in the individual levels of the quantifier alternation hierarchy of first-order logic with two variables by identities. This implies decidability of the individual levels. More generally we show that the two-sided semidirect product of a decidable variety with the variety J is decidable.

preprint2012arXivOpen access
Andreas KrebsHoward Straubing
Logic in Computer Science
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Andreas KrebsHoward Straubing

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