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Categorifying Computations into Components via Arrows as ...

Categorifying Computations into Components via Arrows as Profunctors . ichiro Hasuoa,b, , Kazuyuki Asadaa,1. a Research Institute for Mathematical Sciences, Kyoto University b PRESTO Research Promotion Program, Japan Science and Technology Agency Abstract The notion of arrow by Hughes is an axiomatization of the algebraic structure possessed by structured Computations in general. We claim that the same axiomatization of arrow also serves as a basic component calculus for composing state-based systems as Components in fact, it is a categorified version of arrow that does so.

Categorifying Computations into Components via Arrows as Profunctors Ichiro Hasuoa,b,∗, Kazuyuki Asadaa,1 a Research Institute for Mathematical Sciences, Kyoto University bPRESTO Research Promotion Program, Japan Science and Technology Agency Abstract The notion of arrow by Hughes is an axiomatization of the algebraic structure possessed by

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Memoryful Geometry of Interaction - group-mmm.org

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Koko Muroya Ichiro Hasuo Dept. Computer Science, University of Tokyo muroykk@is.s.u-tokyo.ac.jp ichiro@is.s.u-tokyo.ac.jp Abstract Girard’s Geometry of Interaction (GoI) is interaction based seman-tics of linear logic proofs and, via suitable translations, of func-

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