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TLCA
2005
Springer
15 years 9 months ago
Semantic Cut Elimination in the Intuitionistic Sequent Calculus
Cut elimination is a central result of the proof theory. This paper proposes a new approach for proving the theorem for Gentzen’s intuitionistic sequent calculus LJ, that relies ...
Olivier Hermant
121
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WOLLIC
2009
Springer
15 years 10 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
TLCA
2007
Springer
15 years 10 months ago
Continuation-Passing Style and Strong Normalisation for Intuitionistic Sequent Calculi
Abstract. The intuitionistic fragment of the call-by-name version of Curien and Herbelin’s λµ˜µ-calculus is isolated and proved strongly normalising by means of an embedding ...
José Espírito Santo, Ralph Matthes, ...
WOLLIC
2009
Springer
15 years 10 months ago
Sound and Complete Tree-Sequent Calculus for Inquisitive Logic
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
Katsuhiko Sano