Eta-Reduction in Type-Theory of Acyclic Recursion

We investigate the applicability of the classic eta-conversion in the type-theory of acyclic algorithms. While denotationally valid, classic eta-conversion is not algorithmically valid in the type theory of algorithms, with the exception of few limited cases. The paper shows how the restricted, algo...

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Detalles Bibliográficos
Autor: Loukanova, Roussanka
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/160199
Acceso en línea:http://hdl.handle.net/10366/160199
Access Level:acceso abierto
Palabra clave:algorithm
denotation
reduction
Descripción
Sumario:We investigate the applicability of the classic eta-conversion in the type-theory of acyclic algorithms. While denotationally valid, classic eta-conversion is not algorithmically valid in the type theory of algorithms, with the exception of few limited cases. The paper shows how the restricted, algorithmic eta-rule can recover algorithmic eta-conversion in the reduction calculi of type-theory of algorithms.