Retractions in Intersection Types

Autor: Mario Coppo, Mariangiola Dezani-Ciancaglini, Alejandro Díaz-Caro, Ines Margaria, Maddalena Zacchi
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 242, Iss Proc. ITRS 2016, Pp 31-47 (2017)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.242.5
Popis: This paper deals with retraction - intended as isomorphic embedding - in intersection types building left and right inverses as terms of a lambda calculus with a bottom constant. The main result is a necessary and sufficient condition two strict intersection types must satisfy in order to assure the existence of two terms showing the first type to be a retract of the second one. Moreover, the characterisation of retraction in the standard intersection types is discussed.
Databáze: Directory of Open Access Journals