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» A Schemata Calculus for Propositional Logic
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TABLEAUX
2005
Springer
15 years 3 months ago
A Tableau Calculus with Automaton-Labelled Formulae for Regular Grammar Logics
We present a sound and complete tableau calculus for the class of regular grammar logics. Our tableau rules use a special feature called automaton-labelled formulae, which are simi...
Rajeev Goré, Linh Anh Nguyen
64
Voted
CSL
2000
Springer
15 years 2 months ago
Disjunctive Tautologies as Synchronisation Schemes
In the ambient logic of classical second order propositional calculus, we solve the specification problem for a family of excluded middle like tautologies. These are shown to be r...
Vincent Danos, Jean-Louis Krivine
103
Voted
TABLEAUX
2009
Springer
15 years 2 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
CSL
2007
Springer
15 years 4 months ago
Propositional Logic for Circuit Classes
Abstract. By introducing a parallel extension rule that is aware of independence of the introduced extension variables, a calculus for quantified propositional logic is obtained w...
Klaus Aehlig, Arnold Beckmann
92
Voted
TLCA
2005
Springer
15 years 3 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger