ExpTime Tableaux for Using Sound Global Caching

Authors:
Rajeev Goré;Linh Anh Nguyen
Affiliations:
Logic and Computation Group, Research School of Information Sciences and Engineering, College of Engineering and Computer Science, The Australian National University, Canberra, Australia ACT 0200;Institute of Informatics, University of Warsaw, Warsaw, Poland 02-097
Venue:
Journal of Automated Reasoning
Year:
2013

Citing 23
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Abstract

We present a simple ExpTime (complexity-optimal) tableau decision procedure based on and-or graphs with sound global caching for checking satisfiability of a concept w.r.t. a TBox in $\mathcal{ALC}$ . Our algorithm is easy to implement and provides a foundation for ExpTime (complexity-optimal) tableau-based decision procedures for many modal and description logics, to which various optimisation techniques can be applied.