A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2004; you can also visit the original URL.
The file type is application/pdf
.
Classical Linear Logic of Implications
[chapter]
2002
Lecture Notes in Computer Science
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 and linear implications as the basic constructs, and this design choice allows a technically managable axiomatization without commuting conversions. Despite this simplicity, the calculus is shown to be sound and complete for category-theoretic models given by * -autonomous categories with linear exponential comonads.
doi:10.1007/3-540-45793-3_31
fatcat:7iuphna6mndvpdomudjssia6x4