Coherence in category theory and the Church-Rosser property (Q1187545)
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scientific article; zbMATH DE number 39465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coherence in category theory and the Church-Rosser property |
scientific article; zbMATH DE number 39465 |
Statements
Coherence in category theory and the Church-Rosser property (English)
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22 July 1992
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It is claimed that the set of reductions of Gentzen-type derivations [proposed by \textit{M. Szabo} in the book: Algebra of proofs (1978; Zbl 0532.03030)] is not sufficient to establish equivalence of two derivations \((\alpha\otimes\gamma)\otimes \beta\to(\alpha\otimes \beta)\otimes\gamma\). The reason: absence of reduction corresponding to \(1=cc\), where \(c\) is commutativity.
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equivalence of derivations
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reductions of Gentzen-type derivations
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