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» Tableaux for the Lambek-Grishin calculus
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TABLEAUX
2009
Springer
14 years 3 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
2005
Springer
14 years 2 months ago
Comparing Instance Generation Methods for Automated Reasoning
Abstract. The clause linking technique of Lee and Plaisted proves the unsatisfiability of a set of first-order clauses by generating a sufficiently large set of instances of thes...
Swen Jacobs, Uwe Waldmann
KR
2000
Springer
14 years 3 days ago
Expressive ABox Reasoning with Number Restrictions, Role Hierarchies, and Transitively Closed Roles
We present a new tableaux calculus deciding the ABox consistency problem for the expressive description logic ALCNHR+ . Prominent language features of ALCNHR+ are number restricti...
Volker Haarslev, Ralf Möller
TABLEAUX
2009
Springer
14 years 3 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
2007
Springer
14 years 2 months ago
Tree-Sequent Methods for Subintuitionistic Predicate Logics
Subintuitionistic logics are a class of logics defined by using Kripke models with more general conditions than those for intuitionistic logic. In this paper we study predicate lo...
Ryo Ishigaki, Kentaro Kikuchi