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TABLEAUX
2009
Springer
13 years 9 months ago
Proof Search and Counter-Model Construction for Bi-intuitionistic Propositional Logic with Labelled Sequents
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Luis Pinto, Tarmo Uustalu
TABLEAUX
2009
Springer
13 years 9 months ago
Tableaux for Projection Computation and Knowledge Compilation
Projection computation is a generalization of second-order quantifier elimination, which in turn is closely related to the computation of forgetting and of uniform interpolants. O...
Christoph Wernhard
TABLEAUX
2009
Springer
13 years 11 months ago
Automated Synthesis of Tableau Calculi
This paper presents a method for synthesising sound and complete tableau calculi. Given a specification of the formal semantics of a logic, the method generates a set of tableau i...
Renate A. Schmidt, Dmitry Tishkovsky
TABLEAUX
2009
Springer
13 years 11 months 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
13 years 11 months 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
13 years 11 months ago
A Schemata Calculus for Propositional Logic
We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
TABLEAUX
2009
Springer
13 years 11 months 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
13 years 11 months ago
A Tableau-Based System for Spatial Reasoning about Directional Relations
Abstract. The management of qualitative spatial information is an important research area in computer science and AI. Modal logic provides a natural framework for the formalization...
Davide Bresolin, Angelo Montanari, Pietro Sala, Gu...
TABLEAUX
2009
Springer
13 years 11 months 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
13 years 11 months ago
Tableaux and Model Checking for Memory Logics
Memory logics are modal logics whose semantics is specified in terms of relational models enriched with additional data structure to represent memory. The logical language is then...
Carlos Areces, Diego Figueira, Daniel Gorín...