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» A Schemata Calculus for Propositional Logic
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TABLEAUX
2005
Springer
15 years 11 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
CSL
2000
Springer
15 years 10 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
TABLEAUX
2009
Springer
15 years 10 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
16 years 5 days 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
TLCA
2005
Springer
15 years 11 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