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BRICS Report Series
<p>This paper extends Curry-Howard interpretations of Intuitionistic Logic (IL) and Intuitionistic Linear Logic (ILL) with rules for recursion. The resulting term languages, the rec-calculus and the linear rec-calculus respectively, are given sound<br />categorical interpretations. The embedding of proofs of IL into proofs of ILL given by the Girard Translation is extended with the rules for recursion, such that an embedding of terms of the rec-calculus into terms of the linear rec-calculus isdoi:10.7146/brics.v2i13.19882 fatcat:qwrlffjctfa6zoyhsro3eiquge