We present three functional interpretations of intuitionistic linear logic and show how these correspond to well-known functional interpretations of intuitionistic logic via embeddings of IL ω into ILL ω . The main difference from previous work of the second author is that in intuitionistic linear logic the interpretations of !A are simpler (at the cost of an asymmetric interpretation of pure ILL ω ) and simultaneous quantifiers are no longer needed for the characterisation of the interpretations. © 2009 Springer Berlin Heidelberg.
CITATION STYLE
Ferreira, G., & Oliva, P. (2009). Functional interpretations of intuitionistic linear logic. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5771 LNCS, pp. 3–19). https://doi.org/10.1007/978-3-642-04027-6_3
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