Steps and traces

Author:

Rot Jurriaan1,Jacobs Bart1,Levy Paul Blain2

Affiliation:

1. Institute for Computing and Information Sciences, Radboud Universiteit, Nijmegen 6525 EC, The Netherlands

2. School of Computer Science, University of Birmingham, Birmingham B15 2TT, UK

Abstract

Abstract In the theory of coalgebras, trace semantics can be defined in various distinct ways, including through algebraic logics, the Kleisli category of a monad or its Eilenberg–Moore category. This paper elaborates two new unifying ideas: (i) coalgebraic,draftrules trace semantics is naturally presented in terms of corecursive algebras, and (ii) all three approaches arise as instances of the same abstract setting. Our perspective puts the different approaches under a common roof and allows to derive conditions under which some of them coincide.

Funder

European Research Council

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

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