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Proof calculus
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81	Models and termination of proof-reduction in the λΠ-calculus modulo theory Gilles Dowek∗ Abstract We define a notion of model for the λΠ-calculus modulo theory, a notion of superconsistent theory, and prove that pr Add to Reading List Source URL: who.rocq.inria.fr Language: English - Date: 2014-10-09 11:42:35 Mathematical logic Symbol Model theory Function Interpretation Heyting algebra Natural deduction Mathematics Logic Metalogic
82	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
83	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
84	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
85	AG8 SUBATOMIC LOGIC Alessio Guglielmi (TU Dresdenupdated on Add to Reading List Source URL: cs.bath.ac.uk Language: English - Date: 2007-12-18 10:38:04 Non-classical logic Boolean algebra Propositional calculus Substructural logic Linear logic Structural rule Modal logic Cut-elimination theorem Negation Logic Mathematical logic Proof theory
86	Normalization by Evaluation in the Delay Monad A Case Study for Coinduction via Copatterns and Sized Types Andreas Abel James Chapman Add to Reading List Source URL: www.cs.bham.ac.uk Language: English - Date: 2014-04-10 20:31:05 Lambda calculus Normalisation by evaluation Proof theory
87	June 22, 2009 — Final version for the proceedings of CSL’09 Expanding the realm of systematic proof theory Agata Ciabattoni1 , Lutz Straßburger2 , and Kazushige Terui3 1 Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-06-23 06:51:18 Mathematics Sequent calculus Intuitionistic logic Cut-elimination theorem Interpretation Sequent Structural rule Propositional calculus Linear logic Logic Mathematical logic Proof theory
88	Towards Proof Planning for M+ ω Carsten Sch¨ urmann Yale University Add to Reading List Source URL: www.itu.dk Language: English - Date: 2002-08-05 12:06:59 Deduction Logic Natural deduction Logic in computer science Lambda calculus Combinatory logic Mathematical logic Theoretical computer science Proof theory
89	Knowledge and Tree-Edits in Learnable Entailment Proofs Asher Stern1 , Amnon Lotan3 , Shachar Mirkin1 , Eyal Shnarch1 , Lili Kotlerman1 , Jonathan Berant2 , and Ido Dagan1 1 Computer Science Department, Bar-Ilan Univers Add to Reading List Source URL: www-nlp.stanford.edu Language: English - Date: 2014-07-26 23:52:02 Propositional calculus Philosophical logic Formal languages Textual entailment Entailment WordNet Formal proof Inference Abductive reasoning Logic Logical consequence Logical syntax
90	QUASIPOLYNOMIAL NORMALISATION IN DEEP INFERENCE VIA ATOMIC FLOWS AND THRESHOLD FORMULAE PAOLA BRUSCOLI, ALESSIO GUGLIELMI, TOM GUNDERSEN, AND MICHEL PARIGOT ABSTRACT. Jeˇrábek showed that cuts in propositional-logic de Add to Reading List Source URL: www.cs.bath.ac.uk Language: English - Date: 2014-05-05 11:51:09 Natural deduction Sequent calculus Rule of inference Deep inference Sequent Cut-elimination theorem Substitution Propositional calculus Proof calculus Logic Proof theory Mathematical logic