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» Intuitionistic hybrid logic
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FROCOS
2007
Springer
14 years 1 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
TABLEAUX
2005
Springer
14 years 1 months ago
Clausal Connection-Based Theorem Proving in Intuitionistic First-Order Logic
Abstract. We present a clausal connection calculus for first-order intuitionistic logic. It extends the classical connection calculus by adding prefixes that encode the character...
Jens Otten
WOLLIC
2009
Springer
14 years 2 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
TYPES
2000
Springer
13 years 11 months ago
Collection Principles in Dependent Type Theory
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic ru...
Peter Aczel, Nicola Gambino