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Deduction theorem
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21	Cut Elimination in Deduction Modulo by Abstract Completion Guillaume Burel1 and Claude Kirchner2 1 3 Add to Reading List Source URL: www.ensiie.fr Language: English - Date: 2015-01-06 05:13:18 Natural deduction Sequent calculus Cut-elimination theorem Sequent Rule of inference First-order logic Mathematical proof KeY Negation Logic Mathematical logic Proof theory
22	Pushdown systems in Polarized deduction modulo Gilles Dowek∗ and Ying Jiang† Abstract We introduce a new saturation method for polarized rewrite systems and prove a cut-elimination theorem for the Polarized sequent c Add to Reading List Source URL: who.rocq.inria.fr Language: English - Date: 2014-09-01 05:38:56
23	An Abstract Completion Procedure for Cut Elimination in Deduction Modulo LICS 2006 Guillaume Burel + Claude Kirchner ´ LORIA × (Ecole Add to Reading List Source URL: www.ensiie.fr Language: English - Date: 2015-01-06 05:29:08 Mathematics Cut-elimination theorem Sequent calculus Sequent Gerhard Gentzen Natural deduction Proof theory Mathematical logic Logic
24	Embedding Deduction Modulo into a Prover Guillaume Burel Max Planck Institute for Informatics Saarland University Saarbr¨ ucken, Germany Add to Reading List Source URL: www.ensiie.fr Language: English - Date: 2015-01-06 05:11:07 Automated theorem proving Deduction Propositional calculus Rules of inference Sequent calculus Entailment Cut-elimination theorem Resolution Natural deduction Logic Mathematical logic Proof theory
25	Naming Proofs in Classical Propositional Logic Fran¸cois Lamarche Lutz Straßburger LORIA & INRIA-Lorraine Add to Reading List Source URL: www.loria.fr Language: English - Date: 2005-01-31 14:08:48 Natural deduction Curry–Howard correspondence Sequent calculus Entailment Cut-elimination theorem Sequent Linear logic Intuitionistic logic Soundness Logic Mathematical logic Proof theory
26	Deduction modulo theory Gilles Dowek Inria, 23 avenue d’Italie, CS 81321, 75214 Paris Cedex 13, France. 1 Add to Reading List Source URL: who.rocq.inria.fr Language: English - Date: 2014-07-03 10:24:22 Proof theory Natural deduction Propositional calculus Sequent calculus Heyting algebra First-order logic Intuitionistic logic Cut-elimination theorem Function Logic Mathematical logic Mathematics
27	January 5, 2009 — Submitted — 15 pages paper + 24 pages appendix Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic Lutz Straßburger ´ Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-03-02 09:38:29 Sequent calculus Entailment Ω-consistent theory Sequent Cut-elimination theorem First-order logic Structure Linear logic Natural deduction Logic Mathematical logic Proof theory
28	FACULTY OF ARTS DEPARTMENT OF PHILOSOPHY PHIL — “Topics in Logic: Applications of Logic in Philosophy” (Proof Theory) Add to Reading List Source URL: www.ucalgary.ca Language: English - Date: 2014-07-27 06:42:54 Mathematical logic Natural deduction Cut-elimination theorem Formal proof Mathematical proof Philosophy of mathematics Sequent calculus Sequent Intuitionistic logic Logic Proof theory Mathematics
29	On Proof Nets for Multiplicative Linear Logic with Units Lutz Straßburger and Fran¸cois Lamarche INRIA-Lorraine, Projet Calligramme 615, rue du Jardin Botanique — 54602 Villers-l`es-Nancy — France Lutz.Strassburger Add to Reading List Source URL: www.loria.fr Language: English - Date: 2004-11-15 14:07:24 Deduction Propositional calculus Natural deduction Cut-elimination theorem Entailment Sequent calculus Linear logic Curry–Howard correspondence Logic Mathematical logic Proof theory
30	May 15, 2014 — Final version for proceedings of CSL-LICS 2014, extended with a 2-page appendix Symmetric Normalisation for Intuitionistic Logic Nicolas Guenot Lutz Straßburger Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2014-05-20 13:23:34 Mathematics Natural deduction Cut-elimination theorem Propositional calculus Sequent calculus Combinatory logic Linear logic Closed and exact differential forms Admissible rule Mathematical logic Logic Proof theory

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