Journal article

Formal categorical reasoning

Abstract:: In this paper, we present a category theory library developed in the proof assistant Coq. We discuss the design principles of the library in comparison with those existing out there. To explicitly demonstrate the utility of the library, we conclude with a case study in which a Coq formalized soundness proof of the intuitionistic propositional logic within a category theoretical settings is examined.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Ekici, B. (2022). Formal categorical reasoning. Turkish Journal of Mathematics, 46(4), 1538–1552.

MLA Style

Ekici, B. “Formal Categorical Reasoning.” Turkish Journal of Mathematics, vol. 46, no. 4, Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) , 2022, pp. 1538–52.

Chicago Style

Ekici, B. 2022. “Formal Categorical Reasoning.” Turkish Journal of Mathematics 46 (4): 1538–52.
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Files:: Ekici_2022_Formal_categorical_reasoning.pdf

(Preview, Version of record, pdf, 330.2KB, Terms of use)

Publisher copy:: 10.55730/1300-0098.3178

Authors

+ Ekici, B More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Computer Science
Role:: Author

Publisher:: Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM)
Journal:: Turkish Journal of Mathematics More from this journal
Volume:: 46
Issue:: 4
Pages:: 1538-1552
Article number:: 31
Publication date:: 2022-04-08
Acceptance date:: 2022-04-08
DOI:: 10.55730/1300-0098.3178
EISSN:: 1303-6149
ISSN:: 1300-0098

Language:: English
Keywords:: formal proofs

categorical logic

denotational semantics of programming constructs

the Coq proof assistant

FFR
Pubs id:: 1616026
Local pid:: pubs:1616026
Deposit date:: 2024-02-11

Terms of use

Copyright holder:: Burak Ekici
Copyright date:: 2022
Rights statement:: ©2022 The Author. This paper is an open access article distributed under the terms of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)

Licence:: CC Attribution (CC BY)

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