The stack calculus

Alberto Carraro, Thomas Ehrhard, Antonino Salibra
2013 Electronic Proceedings in Theoretical Computer Science  
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.
doi:10.4204/eptcs.113.10 fatcat:kv2q2eb2w5chhhj345r6rlmpum