Resolution-Based Model Construction for PLTL. Ludwig, M. & Hustadt, U. In Lutz, C. & Raskin, J., editors, Proceedings of the 16th International Symposium on Temporal Representation and Reasoning (TIME-2009) [Brixen-Bressanone, Italy, 23-25 July 2009], pages 73-80, 2009. IEEE Computer Society. Paper abstract bibtex The elimination of redundant clauses is an essential part of resolution-based theorem proving in order to reduce the size of the search space. In this paper we focus on ordered fine-grained resolution with selection, a sound and complete resolution-based calculus for monodic first-order temporal logic. The inference rules of the calculus are based on standard resolution between different types of temporal clauses on one hand and inference rules with semi-decidable applicability conditions that handle eventualities on the other hand. We define a subsumption relation on temporal clauses and show how the calculus can be extended with reduction rules that eliminate redundant clauses. We also illustrate how the subsumption relation can be used to simplify the loop search process for eventualities.
@INPROCEEDINGS{Ludwig+Hustadt@TIME2009,
AUTHOR = {Ludwig, Michel and Hustadt, Ullrich},
TITLE = {Resolution-Based Model Construction for {PLTL}},
BOOKTITLE = {Proceedings of the 16th International Symposium on
Temporal Representation and Reasoning (TIME-2009)
[Brixen-Bressanone, Italy, 23-25 July 2009]},
YEAR = {2009},
EDITOR = {Lutz, Carsten and Raskin, Jean-Francois},
PAGES = {73-80},
PUBLISHER = {IEEE Computer Society},
CADDRESS = {Brixen-Bressanone, Italy},
CYEAR = {2009},
CMONTH = jul # {23--25},
YEAR = {2009},
URL = {Ludwig+Hustadt@TIME2009.pdf},
ABSTRACT = {The elimination of redundant clauses is an essential part
of resolution-based theorem proving in order to reduce the size of
the search space. In this paper we focus on ordered fine-grained
resolution with selection, a sound and complete resolution-based
calculus for monodic first-order temporal logic. The inference rules
of the calculus are based on standard resolution between different
types of temporal clauses on one hand and inference rules with
semi-decidable applicability conditions that handle eventualities on
the other hand. We define a subsumption relation on temporal clauses
and show how the calculus can be extended with reduction rules that
eliminate redundant clauses. We also illustrate how the subsumption
relation can be used to simplify the loop search process for
eventualities.}
}
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