A Curry-Howard Correspondence for Linear, Reversible Computation
Kostia Chardonnet,
Alexis Saurin,
Benoît Valiron
Abstract:In this paper, we present a linear and reversible programming language with inductives types and recursion. The semantics of the languages is based on pattern-matching; we show how ensuring syntactical exhaustivity and non-overlapping of clauses is enough to ensure reversibility. The language allows to represent any Primitive Recursive Function. We then give a Curry-Howard correspondence with the logic µMALL: linear logic extended with least xed points allowing inductive statements. The critical part of our wo… Show more
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