On Upper Bounds on the Church-Rosser Theorem

Autor: Ken-etsu Fujita
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 235, Iss Proc. WPTE 2016, Pp 16-31 (2017)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.235.2
Popis: The Church-Rosser theorem in the type-free lambda-calculus is well investigated both for beta-equality and beta-reduction. We provide a new proof of the theorem for beta-equality with no use of parallel reductions, but simply with Takahashi's translation (Gross-Knuth strategy). Based on this, upper bounds for reduction sequences on the theorem are obtained as the fourth level of the Grzegorczyk hierarchy.
Databáze: Directory of Open Access Journals