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» Combining Classical and Intuitionistic Implications
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FROCOS
2007
Springer
13 years 10 months ago
Combining Classical and Intuitionistic Implications
We present a simple logic that combines, in a conservative way, the implicative fragments of both classical and intuitionistic logics, thus settling a problem posed by Dov Gabbay i...
Carlos Caleiro, Jaime Ramos
FROCOS
2000
Springer
13 years 8 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
CSL
2002
Springer
13 years 4 months ago
Classical Linear Logic of Implications
Abstract. We give a simple term calculus for the multiplicative exponential fragment of Classical Linear Logic, by extending Barber and Plotkin's system for the intuitionistic...
Masahito Hasegawa
TYPES
2007
Springer
13 years 10 months ago
Intuitionistic vs. Classical Tautologies, Quantitative Comparison
We consider propositional formulas built on implication. The size of a formula is the number of occurrences of variables in it. We assume that two formulas which differ only in th...
Antoine Genitrini, Jakub Kozik, Marek Zaionc
WOLLIC
2009
Springer
13 years 11 months ago
Forcing-Based Cut-Elimination for Gentzen-Style Intuitionistic Sequent Calculus
We give a simple intuitionistic completeness proof of Kripke semantics with constant domain for intuitionistic logic with implication and universal quantification. We use a cut-fr...
Hugo Herbelin, Gyesik Lee