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arXiv · 1309.1254

Strong Normalization for HA + EM1 by Non-Deterministic Choice

Federico Aschieri
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Abstract

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".

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Federico Aschieri. 2013-09-05. Strong Normalization for HA + EM1 by Non-Deterministic Choice. https://doi.org/10.4204/eptcs.127.1

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