Realizability at Work: Separating Two Constructive Notions of Finiteness

Autor: Bezem, Marc, Coquand, Thierry, Nakata, Keiko, Parmann, Erik
Jazyk: angličtina
Rok vydání: 2018
Předmět:
DOI: 10.4230/lipics.types.2016.6
Popis: We elaborate in detail a realizability model for Martin-Löf dependent type theory with the purpose to analyze a subtle distinction between two constructive notions of finiteness of a set A. The two notions are: (1) A is Noetherian: the empty list can be constructed from lists over A containing duplicates by a certain inductive shortening process; (2) A is streamless: every enumeration of A contains a duplicate.
Databáze: OpenAIRE