Computer Science > Logic in Computer Science
[Submitted on 5 Sep 2013]
Title:Strong Normalization for HA + EM1 by Non-Deterministic Choice
View PDFAbstract:We study the strong normalization of a new Curry-Howard correspondence for HA + EM1, constructive Heyting Arithmetic with the excluded middle on Sigma01-formulas. The proof-term language of HA + EM1 consists in the lambda calculus plus an operator ||_a which represents, from the viewpoint of programming, an exception operator with a delimited scope, and from the viewpoint of logic, a restricted version of the excluded middle. We give a strong normalization proof for the system based on a technique of "non-deterministic immersion".
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Thu, 5 Sep 2013 08:03:19 UTC (22 KB)
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