The untyped stack calculus and Bohm's theorem
arXiv:1303.7330 · doi:10.4204/EPTCS.113.9
Abstract
The stack calculus is a functional language in which is in a Curry-Howard correspondence with classical logic. It enjoys confluence but, as well as Parigot's lambda-mu, does not admit the Bohm Theorem, typical of the lambda-calculus. We present a simple extension of stack calculus which is for the stack calculus what Saurin's Lambda-mu is for lambda-mu.
In Proceedings LSFA 2012, arXiv:1303.7136