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Intuitionistic type theory
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21	Dependent Types at Work Ana Bove and Peter Dybjer Chalmers University of Technology, G¨ oteborg, Sweden {bove,peterd}@chalmers.se Add to Reading List Source URL: www.cse.chalmers.se Language: English - Date: 2013-09-04 09:56:00 Type theory Functional languages Lambda calculus Logic in computer science Theory of computation Agda Intuitionistic type theory Dependent type Typed lambda calculus Software engineering Programming language theory Theoretical computer science
22	Innovations in Computational Type Theory using Nuprl S. F. Allen, M. Bickford, R. L. Constable, R. Eaton, C. Kreitz, L. Lorigo, E. Moran Department of Computer Science, Cornell-University, Ithaca, NY[removed] {sfa,mark Add to Reading List Source URL: www.nuprl.org Language: English - Date: 2005-06-21 10:54:34 Type theory Logic in computer science Dependently typed programming Computability theory Intuitionistic type theory Curry–Howard correspondence Natural deduction Lambda calculus Combinatory logic Mathematics Logic Mathematical logic
23	Homotopical Patch Theory (Expanded Version) Carlo Angiuli ∗ Edward Morehouse ∗ Add to Reading List Source URL: www.cs.cmu.edu Language: English - Date: 2014-07-29 20:48:31 Abstract algebra Homotopy Path Quasigroup Covering space Intuitionistic type theory Fundamental group CW complex Function Topology Mathematics Homotopy theory
24	PDF Document Add to Reading List Source URL: dlicata.web.wesleyan.edu Language: English - Date: 2014-05-05 05:23:52 Abstract algebra Homotopy Path Covering space Quasigroup Intuitionistic type theory Out Fundamental group Bijection injection and surjection Topology Homotopy theory Mathematics
25	UNIVERSITY OF GRONINGEN Inductive Types in Constructive Languages Peter J. de Bruin Add to Reading List Source URL: www.peterdebruin.net Language: English - Date: 2010-01-10 15:07:06 Mathematical logic Programming idioms Type theory Recursion Theoretical computer science Intuitionistic type theory Initial algebra Mathematical proof Inductive reasoning Mathematics Computer programming Logic
26	Research Statement Jason Reed Research Agenda Motivations Mathematics succeeds when it builds bridges: a result connecting one approach (or one entire field Add to Reading List Source URL: jcreed.org Language: English - Date: 2009-10-03 17:18:21 Non-classical logic Logic in computer science Type theory Dependently typed programming Automated theorem proving Logical framework Frank Pfenning Natural deduction Intuitionistic logic Logic Mathematical logic Mathematics
27	CLF: A logical framework for concurrent systems Thesis Proposal Kevin Watkins Carnegie Mellon University Committee: Add to Reading List Source URL: www.cs.cmu.edu Language: English - Date: 2003-05-13 12:40:00 Type theory Theoretical computer science Non-classical logic Dependently typed programming Logical framework Intuitionistic logic Frank Pfenning Dependent type Natural deduction Mathematical logic Logic Logic in computer science
28	Applications of inductive definitions and choice principles to program synthesis Ulrich Berger and Monika Seisenberger {u.berger,csmona}@swansea.ac.uk University of Wales Swansea Add to Reading List Source URL: www-compsci.swan.ac.uk Language: English - Date: 2006-06-27 17:59:13 Structural induction Mathematical proof Mathematical induction Well-quasi-ordering Axiom of choice Recursion Intuitionistic type theory Well-founded relation Bar induction Mathematics Mathematical logic Logic
29	Labelled structures and combinatorial species Brent A. Yorgey Add to Reading List Source URL: www.cis.upenn.edu Language: English - Date: 2014-01-10 16:35:05 Algebraic topology Algebraic geometry Category theory Combinatorial species Sheaf Model theory Finite set Intuitionistic type theory Finite morphism Mathematics Abstract algebra Algebraic combinatorics
30	Negative consistent axioms can be postulated without loss of canonicity Thierry Coquand, Nils Anders Danielsson, Mart´ın H¨ Add to Reading List Source URL: www.cs.bham.ac.uk Language: English - Date: 2013-10-19 03:17:32 Set theory Z notation Type theory Axiom Mathematical constructivism Model theory Mathematical proof S Intuitionistic type theory Mathematical logic Logic Mathematics

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