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» From Coalgebraic to Monoidal Traces
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80
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ENTCS
2010
112views more  ENTCS 2010»
15 years 15 days ago
From Coalgebraic to Monoidal Traces
The main result of this paper shows how coalgebraic traces, in suitable Kleisli categories, give rise to traced monoidal structure in those Kleisli categories, with finite coprodu...
Bart Jacobs
FCT
2001
Springer
15 years 4 months ago
Divisibility Monoids: Presentation, Word Problem, and Rational Languages
Abstract. We present three results on divisibility monoids. These divisibility monoids were introduced in [11] as an algebraic generalization of Mazurkiewicz trace monoids. (1) We ...
Dietrich Kuske
134
Voted
ACS
2008
15 years 17 days ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer
FCT
1999
Springer
15 years 4 months ago
Tile Transition Systems as Structured Coalgebras
The aim of this paper is to investigate the relation between two models of concurrent systems: tile rewrite systems and coalgebras. Tiles are rewrite rules with side e ects which a...
Andrea Corradini, Reiko Heckel, Ugo Montanari
92
Voted
CORR
2008
Springer
104views Education» more  CORR 2008»
15 years 15 days ago
A General Framework for Sound and Complete Floyd-Hoare Logics
er presents an abstraction of Hoare logic to traced symmetric monoidal categories, a eral framework for the theory of systems. Our abstraction is based on a traced monoidal functor...
Rob Arthan, Ursula Martin, Erik A. Mathiesen, Paul...