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arXiv · 1303.7331

The stack calculus

Alberto Carraro·Thomas Ehrhard·Antonino Salibra
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Abstract

We introduce a functional calculus with simple syntax and operational semantics in which the calculi introduced so far in the Curry-Howard correspondence for Classical Logic can be faithfully encoded. Our calculus enjoys confluence without any restriction. Its type system enforces strong normalization of expressions and it is a sound and complete system for full implicational Classical Logic. We give a very simple denotational semantics which allows easy calculations of the interpretation of expressions.

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Alberto Carraro, Thomas Ehrhard, Antonino Salibra. 2013-03-29. The stack calculus. https://doi.org/10.4204/eptcs.113.10

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