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CurryHoward correspondence
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1	Contractibility + transport ⇔ J Carlo Angiuli December 1, 2014 In MLTT, we usually define the identity type as a reflexive relation satisfying J: Γ`M :A Γ`N :A Add to Reading List Source URL: www.carloangiuli.com Language: English - Date: 2015-05-08 13:33:44 Proof theory Riemann surfaces Mathematics CurryHoward correspondence Logic in computer science Philosophy of computer science Type theory Generalised Whitehead product
2	PML : A new proof assistant and deduction system Christophe Raffalli LAMA Add to Reading List Source URL: www.lama.univ-savoie.fr Language: English - Date: 2007-07-02 08:10:34 Type theory Theoretical computer science Mathematical logic Programming language theory Lambda calculus Formal methods Logic in computer science CurryHoward correspondence HindleyMilner type system Simply typed lambda calculus Type system Proof assistant
3	Type Theory and Constructive Mathematics Type Theory and Constructive Mathematics Thierry Coquand University of Gothenburg Add to Reading List Source URL: events.cs.bham.ac.uk Language: English - Date: 2012-04-26 12:08:31 Mathematical logic Type theory Logic Mathematics Homotopy type theory Univalent foundations First-order logic Natural deduction CurryHoward correspondence
4	Herbrand-Confluence for Cut Elimination in Classical First Order Logic Stefan Hetzl1 and Lutz Straßburger2 1 2 Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2012-11-30 05:38:20 Mathematics Logic Proof theory Mathematical logic Deductive reasoning Natural deduction Symbol Differential topology Generalised Whitehead product CurryHoward correspondence
5	Type-Based Reasoning and Imprecise Errors Janis Voigtl¨ ander Technische Universit¨ at Dresden Add to Reading List Source URL: www.janis-voigtlaender.eu Language: English - Date: 2016-08-01 05:50:10 Software engineering Declarative programming Data types Computing Type theory Functional programming Object-oriented programming Polymorphism Map Ordinal number Boolean data type CurryHoward correspondence
6	Fuzzing the Rust Typechecker Using CLP Kyle Dewey Jared Roesch Ben Hardekopf Add to Reading List Source URL: jroesch.github.io Language: English - Date: 2016-04-16 20:16:50 Software engineering Type theory Computing Programming language theory Type system CurryHoward correspondence Typed lambda calculus Simply typed lambda calculus Type rule Type safety Typing environment Go
7	Logical Methods in Computer Science Vol. 11(3:7)2015, pp. 1–33 www.lmcs-online.org Submitted May 17, 2014 Published Sep. 3, 2015 Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2016-02-19 10:54:23 Logic Mathematical logic Proof theory Abstraction Non-classical logic Logic in computer science Philosophical logic Model theory Sequent CurryHoward correspondence Intuitionistic logic Cut-elimination theorem
8	An Introduction to Logical Relations Proving Program Properties Using Logical Relations Lau Skorstengaard Contents Add to Reading List Source URL: www.cs.uoregon.edu Language: English - Date: 2016-06-30 02:06:10 Theoretical computer science Mathematical logic Computer science Logic in computer science Lambda calculus Models of computation Proof theory Computability theory Simply typed lambda calculus Natural deduction CurryHoward correspondence
9	Final test: Type Theory and Coqjanuary 2011, 10:30–12:30, HG00.308 The mark for this test is the total number of points divided by ten, where the first 10 points are free. 1. Give a term of the simply typed la Add to Reading List Source URL: www.cs.ru.nl Language: English - Date: 2011-01-18 05:58:42 Mathematical logic Logic Type theory Theoretical computer science Lambda calculus Dependently typed programming Proof theory Logic in computer science CurryHoward correspondence Dependent type System F Simply typed lambda calculus
10	Type Theory and Constructive Mathematics Type Theory and Constructive Mathematics Thierry Coquand University of Gothenburg Add to Reading List Source URL: events.cs.bham.ac.uk Language: English - Date: 2012-04-24 12:00:17 Proof theory Dependently typed programming Logic in computer science Type theory Riemann surfaces Mathematics Philosophy of mathematics CurryHoward correspondence Logic Orbifold

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