Globular: an online proof assistant for higher-dimensional rewriting

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 t...

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Main Authors: Bar, K, Kissinger, A, Vicary, J
Format: Journal article
Published: Logical Methods in Computer Science e.V. 2018
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author Bar, K
Kissinger, A
Vicary, J
author_facet Bar, K
Kissinger, A
Vicary, J
author_sort Bar, K
collection OXFORD
description 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.
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spelling oxford-uuid:d7719f28-7108-41e1-8524-1a42ca1b1f8a2022-03-27T08:41:08ZGlobular: an online proof assistant for higher-dimensional rewritingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d7719f28-7108-41e1-8524-1a42ca1b1f8aSymplectic Elements at OxfordLogical Methods in Computer Science e.V.2018Bar, KKissinger, AVicary, JThis 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.
spellingShingle Bar, K
Kissinger, A
Vicary, J
Globular: an online proof assistant for higher-dimensional rewriting
title Globular: an online proof assistant for higher-dimensional rewriting
title_full Globular: an online proof assistant for higher-dimensional rewriting
title_fullStr Globular: an online proof assistant for higher-dimensional rewriting
title_full_unstemmed Globular: an online proof assistant for higher-dimensional rewriting
title_short Globular: an online proof assistant for higher-dimensional rewriting
title_sort globular an online proof assistant for higher dimensional rewriting
work_keys_str_mv AT bark globularanonlineproofassistantforhigherdimensionalrewriting
AT kissingera globularanonlineproofassistantforhigherdimensionalrewriting
AT vicaryj globularanonlineproofassistantforhigherdimensionalrewriting