A Tableaux Calculus for Reducing Proof Size
Authors: Michael Peter Lettmann and Nicolas Peltier
Paper Information
Title: | A Tableaux Calculus for Reducing Proof Size |
Authors: | Michael Peter Lettmann and Nicolas Peltier |
Proceedings: | IJCAR Proceedings 9th IJCAR, 2018 |
Editors: | Stephan Schulz, Didier Galmiche and Roberto Sebastiani |
Keywords: | Proof theory, First-order logic, Tableau calculus, Proof compression |
Abstract: | ABSTRACT. A tableau calculus is proposed, based on a compressed representation of clauses, where literals sharing a similar shape may be merged. The inferences applied on these literals are fused when possible, which reduces the size of the proof. It is shown that the obtained proof procedure is sound, refutationally complete and allows to reduce the size of the tableau by an exponential factor. The approach is compatible with all usual refinements of tableaux. |
Pages: | 16 |
Talk: | Jul 15 10:00 (Session 101D: Logics and Calculi) |
Paper: |