Linearly Used Eects: Monadic and CPS Transformations into the Linear Lambda Calculus (0)

by M Hasegawa
Venue:In: Proceedings of the 6th International Symposium on Functional and Logic Programming (FLOPS2002). Aizu
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Classical linear logic of implications

by Masahito Hasegawa - In Proc. Computer Science Logic (CSL'02), Springer Lecture Notes in Comp. Sci. 2471 , 2002
"... Abstract. We give a simple term calculus for the multiplicative exponential fragment of Classical Linear Logic, by extending Barber and Plotkin’s system for the intuitionistic case. The calculus has the nonlinear andlinear implications as the basic constructs, andthis design choice allows a technica ..."
Abstract - Cited by 8 (4 self) - Add to MetaCart
Abstract. We give a simple term calculus for the multiplicative exponential fragment of Classical Linear Logic, by extending Barber and Plotkin’s system for the intuitionistic case. The calculus has the nonlinear andlinear implications as the basic constructs, andthis design choice allows a technically managable axiomatization without commuting conversions. Despite this simplicity, the calculus is shown to be sound andcomplete for category-theoretic models given by ∗-autonomous categories with linear exponential comonads. 1

A Game Semantics of Linearly Used Continuations

by J. Laird - FoSSaCs’03, LNCS 2620, 313–327 , 2002
"... We present an analysis of the \linearly used continuationpassing interpretation" of functional languages, based on game semantics. ..."
Abstract - Cited by 6 (0 self) - Add to MetaCart
We present an analysis of the \linearly used continuationpassing interpretation" of functional languages, based on game semantics.