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We study the two-variable fragments D2 and IF2 of dependence logic and independence-friendly logic. We consider the satisfiability and finite satisfiability problems of these logics and show that for D2, both problems are NEXPTIME-complete, whereas for IF2, the problems are Π10 and Σ10-complete, respectively. We also show that D2 is strictly less expressive than IF2 and that already in D2, equicardinality...
We study the two-variable fragments D^2 and IF^2 of dependence logic and independence-friendly logic. We consider the satisfiability and finite satisfiability problems of these logics and show that for D^2, both problems are NEXPTIME-complete, whereas for IF^2, the problems are undecidable. We also show that D^2 is strictly less expressive than IF^2 and that already in D^2, equicardinality of two...
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