THE THEORY OF AN ARBITRARY HIGHER λ-MODEL

One takes advantage of some basic properties of every homotopic А-model (e.g. extensional Kan complex) to explore the higher вп-conversions, which would correspond to proofs of equality between terms of a theory of equality of any extensional Kan complex. Besides, Identity types based on computation...

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Bibliographic Details
Published inBulletin of the Section of Logic Vol. 52; no. 1; pp. 39 - 58
Main Authors Martinez-Rivillas, Daniel O, de Queiroz, Ruy J G B
Format Journal Article
LanguageEnglish
Published Warsaw University of Łódź 01.01.2023
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Summary:One takes advantage of some basic properties of every homotopic А-model (e.g. extensional Kan complex) to explore the higher вп-conversions, which would correspond to proofs of equality between terms of a theory of equality of any extensional Kan complex. Besides, Identity types based on computational paths are adapted to a type-free theory with higher А-terms, whose equality rules would be contained in the theory of any А-homotopic model.
ISSN:0138-0680
2449-836X
DOI:10.18778/0138-0680.2023.11