The two-variable fragment with counting and equivalence
نویسندگان
چکیده
منابع مشابه
The two-variable fragment 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 eq...
متن کاملThe Two-Variable Fragment with Counting Revisited
The satisfiability and finite satisfiability problems for the two-variable fragment of first-order logic with counting were shown in [5] to be in NExpTime. This paper presents a simplified proof via a result on integer programming due to Eisenbrand and Shmonina [2].
متن کاملComplexity of the Guarded Two-Variable Fragment with Counting Quantifiers
We show that the finite satisfiability problem for the guarded twovariable fragment with counting quantifiers is in EXPTIME. The method employed also yields a simple proof of the result obtained in Kazakov [6], that the satisfiability problem for the guarded two-variable fragment with counting quantifiers is in EXPTIME.
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The data-complexity of both satisfiability and finite satisfiability for the two-variable fragment with counting is NP-complete; the data-complexity of both query-answering and finite query-answering for the two-variable guarded fragment with counting is co-NP-complete.
متن کاملComplexity of the Two-Variable Fragment with Counting Quantifiers
The satisfiability and finite satisfiability problems for the two-variable fragment of firstorder logic with counting quantifiers are both in NEXPTIME, even when counting quantifiers are coded succinctly.
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ژورنال
عنوان ژورنال: Mathematical Logic Quarterly
سال: 2015
ISSN: 0942-5616
DOI: 10.1002/malq.201400102