Abstract | ||
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We study the complexity of predicate logics based on team semantics.We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem of two-variable dependence logic is undecidable, thereby solving an open problem from the team semantics literature. We also briefly analyse the complexity of the Bernays-Schoenfinkel-Ramsey prefix classes of dependence logic. |
Year | DOI | Venue |
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2016 | 10.4230/LIPIcs.MFCS.2016.60 | mathematical foundations of computer science |
Field | DocType | Volume |
Discrete mathematics,T-norm fuzzy logics,Predicate variable,Description logic,Algorithm,Theoretical computer science,Classical logic,Predicate functor logic,Predicate logic,Well-founded semantics,Higher-order logic,Mathematics | Conference | 58 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Juha Kontinen | 1 | 176 | 24.67 |
Antti Kuusisto | 2 | 72 | 15.69 |
Jonni Virtema | 3 | 79 | 11.93 |