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Globular: an online proof assistant for higher-dimensional rewriting

Abstract:

This article introduces Globular, an online proof assistant for the formalization and verification of proofs in higher-dimensional category theory. The tool produces graphical visualizations of higher-dimensional proofs, assists in their construction with a point-and-click interface, and performs type checking to prevent incorrect rewrites. Hosted on the web, it has a low barrier to use, and allows hyperlinking of formalized proofs directly from research papers. It allows the formalization of proofs from logic, topology and algebra which are not formalizable by other methods, and we give several examples. Interest in the tool has been strong, with 4126 sessions across 884 unique users in the first 2 months since deployment.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.FSCD.2016.34

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Publisher:
Schloss Dagstuhl
Host title:
Leibniz International Proceedings in Informatics
Volume:
Formal Structures for Computation and Deduction (FSCD) 2016
Publication date:
2016-06-01
Acceptance date:
2016-04-06
DOI:


Keywords:
Subjects:
Pubs id:
pubs:614784
UUID:
uuid:8787f0d0-f811-477a-87f3-8c3ac1ab0ba2
Local pid:
pubs:614784
Source identifiers:
614784
Deposit date:
2016-04-10

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