A Topological Banach Space Model of Linear Logic

Heinrich Kleisli, Hans-Peter Künzi and Jiří Rosický
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Heinrich Kleisli: University of Fribourg, Math. Institute
Hans-Peter Künzi: University of Berne, Math. Institute
Jiří Rosický: Masaryk University, Dept. of Algebra and Geometry

A chapter in Categorical Topology, 1996, pp 155-162 from Springer

Abstract: Abstract We will show that the category V of topological Banach balls (introduced by M. Barr [1] - [3]) is a model of the full linear logic. The cotripel ! on V is constructed from the adjointness between V and the cartesian closed category of Hausdorff topological spaces and k-continuous maps.

Keywords: Saks space; *-autonomous category; linear logic; 46A70; 18D15 (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0263-3_15

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DOI: 10.1007/978-94-009-0263-3_15

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