具有计数和等价的逻辑

Ian Pratt-Hartmann
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引用次数: 14

摘要

考虑一阶有计数逻辑的两变量片段,其条件是单个可区分的二元谓词被解释为等价。我们证明了该逻辑的可满足性和有限可满足性问题都是nexptime完备的。进一步证明了具有计数和两个等价的二变量一阶逻辑的相应问题都是不可判定的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Logics with counting and equivalence
We consider the two-variable fragment of first-order logic with counting, subject to the stipulation that a single distinguished binary predicate be interpreted as an equivalence. We show that the satisfiability and finite satisfiability problems for this logic are both NExpTime-complete. We further show that the corresponding problems for two-variable first-order logic with counting and two equivalences are both undecidable.
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