Minimal lambda-theories by ultraproducts

A longstanding open problem in lambda calculus is whether there exist continuous models of the untyped lambda calculus whose theory is exactly the least lambda-theory lambda-beta or the least sensible lambda-theory H (generated by equating all the unsolvable terms). A related question is whether, gi...

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Bibliographic Details
Main Authors: Antonio Bucciarelli, Alberto Carraro, Antonino Salibra
Format: Article
Language:English
Published: Open Publishing Association 2013-03-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1303.7329v1