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Discrete Mathematics
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Homology theories and tolerance automata

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1981 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 33, pages 209-221 (issn: 0012-365X, Copyright policy )
Authors: A. Muir; M. W. Warner;

doi: 10.1016/0012-365x(81)90167-9

Homology theories and tolerance automata

Abstract

AbstractWe present three possible approaches to a homology theory of automata. Two of these require the state to possess a tolerance. This permits us to proceed by analogy with either the simplicial or the cubical theories of the topological category. The third approach describes a homology theory of automata as such.Fixed simplex theorems are stated. It is suggested that homology theory might be used to classify automata.

Related Organizations
Keywords

Homology and cohomology theories in algebraic topology, Discrete Mathematics and Combinatorics, Formal languages and automata, tolerance space, Theoretical Computer Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
hybrid