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TABLEAUX
2009
Springer
14 years 4 months ago
Generic Modal Cut Elimination Applied to Conditional Logics
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the ...
Dirk Pattinson, Lutz Schröder
FROCOS
2000
Springer
14 years 1 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
SAT
2010
Springer
178views Hardware» more  SAT 2010»
14 years 1 months ago
Proof Complexity of Propositional Default Logic
Default logic is one of the most popular and successful formalisms for non-monotonic reasoning. In 2002, Bonatti and Olivetti introduced several sequent calculi for credulous and s...
Olaf Beyersdorff, Arne Meier, Sebastian Mülle...
AML
2004
96views more  AML 2004»
13 years 9 months ago
Analytic Calculi for Product Logics
Abstract. Product logic is an important t-norm based fuzzy logic with conjunction interpreted as multiplication on the real unit interval [0, 1], while Cancellative hoop logic CHL ...
George Metcalfe, Nicola Olivetti, Dov M. Gabbay
CSL
2006
Springer
14 years 1 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...