2000 character limit reached
Disjunctive Axioms and Concurrent $λ$-Calculi: a Curry-Howard Approach (1802.00961v2)
Published 3 Feb 2018 in math.LO and cs.LO
Abstract: We add to intuitionistic logic infinitely many classical disjunctive tautologies and use the Curry--Howard correspondence to obtain typed concurrent $\lambda$-calculi; each of them features a specific communication mechanism, including broadcasting and cyclic message-exchange, and enhanced expressive power with respect to the $\lambda$-calculus. Moreover they all implement forms of code mobility. Our results provide a first concurrent computational interpretation for many propositional intermediate logics, classical logic included.