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- Leszek Pacholski, Wieslaw Szwast, Lidia Tendera
- SIAM J. Comput.
- 2000

Let C 2 p denote the class of rst order sentences with two variables and with additional quantiiers \there exists exactly (at most, at least) i", for i p, and let C 2 be the union of C 2 p taken over all integers p. We prove that the satissability problem for C 2 1 sentences is NEXPTIME-complete. This strengthens the results by E. Grr adel, Ph. Kolaitis and… (More)

- Leszek Pacholski, Wieslaw Szwast, Lidia Tendera
- LICS
- 1997

- Wieslaw Szwast, Lidia Tendera
- LICS
- 2001

- Wieslaw Szwast, Lidia Tendera
- Ann. Pure Appl. Logic
- 2004

The guarded fragment with transitive guards, [GF+TG], is an extension of the guarded fragment of 9rst-order logic, GF, in which certain predicates are required to be transitive, transitive predicate letters appear only in guards of the quanti9ers and the equality symbol may appear everywhere. We prove that the decision problem for [GF+TG] is decidable.… (More)

- Leszek Pacholski, Wieslaw Szwast
- Inf. Comput.
- 1993

- Wieslaw Szwast, Lidia Tendera
- STACS
- 2013

We show that the satisfiability problem for the two-variable first-order logic, FO2, over transitive structures when only one relation is required to be transitive, is decidable. The result is optimal, as FO2 over structures with two transitive relations, or with one transitive and one equivalence relation, are known to be undecidable, so in fact, our… (More)

- Leszek Pacholski, Wieslaw Szwast
- J. Symb. Log.
- 1991

We study the fluted fragment, a decidable fragment of first-order logic with an unbounded number of variables, originally identified by W.V. Quine. We show that the satisfiability problem for this fragment has non-elementary complexity, thus refuting an earlier published claim by W.C. Purdy that it is in NExpTime. More precisely, we consider, for all m… (More)

- Leszek Pacholski, Wieslaw Szwast
- FOCS
- 1989

- Wieslaw Szwast, Lidia Tendera
- LPAR
- 2005