Deciding the Guarded Fragments by Resolution

de Nivelle, Hans; de Rijke, Maarten

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Deciding the Guarded Fragments by Resolution

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de Nivelle, Hans
Programming Logics, MPI for Informatics, Max Planck Society;

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de Nivelle, H., & de Rijke, M. (2003). Deciding the Guarded Fragments by Resolution. Journal of Symbolic Computation, 35, 21-58.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-2CB2-F

Abstract

We give resolution based decision procedures for both the strictly guarded fragment and the loosely guarded fragment of first-order logic. We prove that the decision procedures are in 2EXPTIME, which is theoretically optimal.