Add to ORKGInternational audienceWe give a simple intuitionistic completeness proof of Kripke semantics for intuitionistic logic with implication and universal quantification with respect to cut-free intuitionistic sequent calculus. The Kripke semantics is ``simplified'' in the way that the domain remains constant. The proof has been formalised in the Coq proof assistant and by combining soundness with completeness, we obtain an executable cut-elimination procedure. The proof easily extends to the case of the absurdity connective using Kripke models with exploding nodes à la Veldman
. We describe a sequent calculus MJ, based on work of Herbelin, of which the cutfree derivations are...
Cut-free proofs in Herbelin's sequent calculus are in 1-1 correspondence with normal natural deducti...
In Schwichtenberg (Studies in logic and the foundations of mathematics, vol 90, Elsevier, pp 867-895...
International audienceWe give a simple intuitionistic completeness proof of Kripke semantics for int...
AbstractIn this paper we give a new proof of cut elimination in Gentzen's sequent system for intuiti...
We describe a sequent calculus, based on work of Herbelin's, of which the cut-free derivations are i...
AbstractIn this paper we give a new proof of cut elimination in Gentzen's sequent system for intuiti...
International audienceWe combine intuitionistic logic and classical logic into a new, first-order lo...
International audienceWe combine intuitionistic logic and classical logic into a new, first-order lo...
open2siIn previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existe...
In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence pre...
In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence pre...
In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence pre...
We study various extensions of Gentzen's sequent calculus obtained by adding rules for equality. On...
AbstractA predicate extension SQHT= of the logic of here-and-there was introduced by V. Lifschitz, D...
. We describe a sequent calculus MJ, based on work of Herbelin, of which the cutfree derivations are...
Cut-free proofs in Herbelin's sequent calculus are in 1-1 correspondence with normal natural deducti...
In Schwichtenberg (Studies in logic and the foundations of mathematics, vol 90, Elsevier, pp 867-895...
International audienceWe give a simple intuitionistic completeness proof of Kripke semantics for int...
AbstractIn this paper we give a new proof of cut elimination in Gentzen's sequent system for intuiti...
We describe a sequent calculus, based on work of Herbelin's, of which the cut-free derivations are i...
AbstractIn this paper we give a new proof of cut elimination in Gentzen's sequent system for intuiti...
International audienceWe combine intuitionistic logic and classical logic into a new, first-order lo...
International audienceWe combine intuitionistic logic and classical logic into a new, first-order lo...
open2siIn previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existe...
In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence pre...
In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence pre...
In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence pre...
We study various extensions of Gentzen's sequent calculus obtained by adding rules for equality. On...
AbstractA predicate extension SQHT= of the logic of here-and-there was introduced by V. Lifschitz, D...
. We describe a sequent calculus MJ, based on work of Herbelin, of which the cutfree derivations are...
Cut-free proofs in Herbelin's sequent calculus are in 1-1 correspondence with normal natural deducti...
In Schwichtenberg (Studies in logic and the foundations of mathematics, vol 90, Elsevier, pp 867-895...