TY - GEN
T1 - SAT-Based decision procedure for analytic pure sequent calculi
AU - Lahav, Ori
AU - Zohar, Yoni
N1 - Funding Information: This research was supported by The Israel Science Foundation (grant no. 280-10).
PY - 2014
Y1 - 2014
N2 - We identify a wide family of analytic sequent calculi for propositional non-classical logics whose derivability problem can be uniformly reduced to SAT. The proposed reduction is based on interpreting these calculi using non-deterministic semantics. Its time complexity is polynomial, and, in fact, linear for a useful subfamily. We further study an extension of such calculi with Next operators, and show that this extension preserves analyticity and is subject to a similar reduction to SAT. A particular interesting instance of these results is a HORNSAT-based linear-time decision procedure for Gurevich and Neeman's primal infon logic and several natural extensions of it.
AB - We identify a wide family of analytic sequent calculi for propositional non-classical logics whose derivability problem can be uniformly reduced to SAT. The proposed reduction is based on interpreting these calculi using non-deterministic semantics. Its time complexity is polynomial, and, in fact, linear for a useful subfamily. We further study an extension of such calculi with Next operators, and show that this extension preserves analyticity and is subject to a similar reduction to SAT. A particular interesting instance of these results is a HORNSAT-based linear-time decision procedure for Gurevich and Neeman's primal infon logic and several natural extensions of it.
UR - http://www.scopus.com/inward/record.url?scp=84958545892&partnerID=8YFLogxK
U2 - https://doi.org/10.1007/978-3-319-08587-6_6
DO - https://doi.org/10.1007/978-3-319-08587-6_6
M3 - منشور من مؤتمر
SN - 9783319085869
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 76
EP - 90
BT - Automated Reasoning - 7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Proceedings
T2 - 7th International Joint Conference on Automated Reasoning, IJCAR 2014, Held as Part of the Vienna Summer of Logic, VSL 2014
Y2 - 19 July 2014 through 22 July 2014
ER -