A Topological Application of Labelled Natural Deduction
We use a labelled deduction system based on the concept of computational paths (sequences of rewrites) as equalities between two terms of the same type. We also define a term rewriting system that is used to make computations between these computational paths, establishing equalities between equalit...
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| creator | Veras, Tiago M. L Ramos, Arthur F de Queiroz, Ruy J. G. B de Oliveira, Anjolina G |
| description | We use a labelled deduction system based on the concept of computational
paths (sequences of rewrites) as equalities between two terms of the same type.
We also define a term rewriting system that is used to make computations
between these computational paths, establishing equalities between equalities.
We then proceed to show the main result here: using this system to obtain the
calculation of the fundamental group of the circle, of the torus and the real
projective plane. |
| doi_str_mv | 10.48550/arxiv.1906.09105 |
| format | Article |
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paths (sequences of rewrites) as equalities between two terms of the same type.
We also define a term rewriting system that is used to make computations
between these computational paths, establishing equalities between equalities.
We then proceed to show the main result here: using this system to obtain the
calculation of the fundamental group of the circle, of the torus and the real
projective plane.</description><identifier>DOI: 10.48550/arxiv.1906.09105</identifier><language>eng</language><subject>Computer Science - Logic in Computer Science ; Mathematics - Algebraic Topology</subject><creationdate>2019-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1906.09105$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1906.09105$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Veras, Tiago M. L</creatorcontrib><creatorcontrib>Ramos, Arthur F</creatorcontrib><creatorcontrib>de Queiroz, Ruy J. G. B</creatorcontrib><creatorcontrib>de Oliveira, Anjolina G</creatorcontrib><title>A Topological Application of Labelled Natural Deduction</title><description>We use a labelled deduction system based on the concept of computational
paths (sequences of rewrites) as equalities between two terms of the same type.
We also define a term rewriting system that is used to make computations
between these computational paths, establishing equalities between equalities.
We then proceed to show the main result here: using this system to obtain the
calculation of the fundamental group of the circle, of the torus and the real
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paths (sequences of rewrites) as equalities between two terms of the same type.
We also define a term rewriting system that is used to make computations
between these computational paths, establishing equalities between equalities.
We then proceed to show the main result here: using this system to obtain the
calculation of the fundamental group of the circle, of the torus and the real
projective plane.</abstract><doi>10.48550/arxiv.1906.09105</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Logic in Computer Science Mathematics - Algebraic Topology |
| title | A Topological Application of Labelled Natural Deduction |
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