Categorical logic

Results: 79



#Item
41Sheaf theory / Topos theory / Homological algebra / Order theory / Topos / Sheaf / Subobject classifier / Categorical logic / Adjoint functors / Category theory / Mathematics / Abstract algebra

LAWVERE-TIERNEY SHEAVES IN ALGEBRAIC SET THEORY S. AWODEY, N. GAMBINO, P. L. LUMSDAINE, AND M. A. WARREN Abstract. We present a solution to the problem of defining a counterpart in Algebraic Set Theory of the constructio

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Source URL: www.andrew.cmu.edu

Language: English - Date: 2014-06-01 15:27:23
42Metalogic / Category theory / Deduction / Structure / Universal algebra / Model theory / Symbol / Entailment / Monoid / Abstract algebra / Mathematics / Logic

Revisiting the categorical interpretation of dependent type theory Pierre-Louis Curien πr2 team, PPS Laboratory, CNRS, Universit´ e Paris Diderot, and INRIA, France

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Source URL: ncatlab.org

Language: English
43Mathematical constructivism / Epistemology / William Lawvere / Mathematical logic / Alexander Grothendieck / Elementary definition / Intuitionism / Categorical logic / Proof theory / Mathematics / Sheaf theory / Topos

“Toposes as higher-order theories” prof. Peter Johnstone University of Cambridge Abstract The elementary reformulation of topos theory by Lawvere and

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Source URL: www.dmi.unisa.it

Language: English - Date: 2010-04-20 04:57:15
44Biproduct / Closed monoidal category / Compact closed category / Dagger compact category / Quantum logic / Coproduct / Braided monoidal category / Closed category / Category of finite dimensional Hilbert spaces / Category theory / Mathematics / Monoidal categories

Under consideration for publication in Math. Struct. in Comp. Science A Categorical Quantum Logic SAMSON ABRAMSKY ROSS DUNCAN Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, UK.

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Source URL: www.cs.ox.ac.uk

Language: English - Date: 2013-06-06 21:34:05
45Functors / Limit / Topos / Equivalence of categories / Category of topological spaces / Categorical logic / Cartesian closed category / Initial and terminal objects / Universal property / Category theory / Mathematics / Adjoint functors

Computational Category Theory D.E. Rydeheard University of Manchester

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Source URL: www.cs.man.ac.uk

Language: English - Date: 2003-05-20 11:35:35
46Syllogism / Ai / Categorical proposition / Existential quantification / Critical thinking / Science / Traditional logic / Logic / Arguments

[removed]

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Source URL: logic.sysu.edu.cn

Language: English - Date: 2011-03-22 17:26:36
47Axiomatic system / Categorical logic / Category theory / Mathematical logic / Foundations of mathematics / Logicism / William Lawvere / Nicolas Bourbaki / Function / Mathematics / Philosophy / Philosophy of mathematics

arXiv:1210.1478v1 [math.HO] 25 Sep[removed]Axiomatic Method and Category Theory

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Source URL: arxiv.org

Language: English - Date: 2012-10-04 20:21:09
48Predicate logic / Non-classical logic / Association for Symbolic Logic / Workshop on Logic /  Language /  Information and Computation / Modal logic / Federated Logic Conference / Informal logic / Mereology / Categorical logic / Logic / Mathematical logic / Philosophical logic

Association for Symbolic Logic Business Office: Box 742, Vassar College 124 Raymond Avenue, Poughkeepsie, New York 12604, USA

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Source URL: www.aslonline.org

Language: English - Date: 2009-10-21 13:04:30
49Model theory / Predicate logic / Z notation / Sheaf theory / Topos / Categorical logic / Axiom schema of replacement / Sheaf / Constructive set theory / Mathematical logic / Mathematics / Logic

Relating first-order set theories, toposes and categories of classes Steve Awodey

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Source URL: homepages.inf.ed.ac.uk

Language: English - Date: 2013-04-30 07:46:02
50Adjoint functors / Functors / Higher category theory / Categorical logic / Lawvere theory / William Lawvere / Clone / Monad / Sheaf / Category theory / Abstract algebra / Mathematics

Under consideration for publication in J. Functional Programming 1

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Source URL: maths.mq.edu.au

Language: English - Date: 2010-07-27 22:21:28
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