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TABLEAUX
2009
Springer
14 years 8 days ago
Terminating Tableaux for the Basic Fragment of Simple Type Theory
base types and disallows lambda abstractions and quantifiers. We show that this fragment has the finite model property and that satisfiability can be decided with a terminating ...
Chad E. Brown, Gert Smolka
TABLEAUX
2009
Springer
14 years 8 days ago
Goal-Directed Invariant Synthesis for Model Checking Modulo Theories
We are interested in automatically proving safety properties of infinite state systems. We present a technique for invariant synthesis which can be incorporated in backward reacha...
Silvio Ghilardi, Silvio Ranise
TABLEAUX
2009
Springer
14 years 8 days ago
Terminating Tableaux for Graded Hybrid Logic with Global Modalities and Role Hierarchies
We present a terminating tableau calculus for graded hybrid logic with global modalities, reflexivity, transitivity and role hierarchies. Termination of the system is achieved thr...
Mark Kaminski, Sigurd Schneider, Gert Smolka
TABLEAUX
2009
Springer
14 years 8 days ago
Modular Sequent Systems for Modal Logic
We see cut-free sequent systems for the basic normal modal logics formed by any combination the axioms d, t, b, 4, 5. These systems are modular in the sense that each axiom has a c...
Kai Brünnler, Lutz Straßburger
TABLEAUX
2009
Springer
14 years 8 days ago
Sound Global State Caching for ALC with Inverse Roles
Abstract. We give an optimal (exptime), sound and complete tableaubased algorithm for deciding satisfiability with respect to a TBox in the logic ALCI using global state caching. ...
Rajeev Goré, Florian Widmann