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The compositional construction of Markov processes II

Published online by Cambridge University Press:  15 March 2011

L. de Francesco Albasini ,
N. Sabadini  and
R. F.C. Walters
L. de Francesco Albasini
Affiliation:
Dipartimento di Fisica e Matematica, Università degli Studi dell'Insubria, via Valleggio 11, 22100 Como, Italy; luisa.dfa@libero.it
N. Sabadini
Affiliation:
Dipartimento di Informatica e Comunicazione, Università degli Studi dell'Insubria, via Carloni 78, 22100 Como, Italy; {nicoletta.sabadini};{robert.walters}@uninsubria.it
R. F.C. Walters
Affiliation:
Dipartimento di Informatica e Comunicazione, Università degli Studi dell'Insubria, via Carloni 78, 22100 Como, Italy; {nicoletta.sabadini};{robert.walters}@uninsubria.it
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Abstract

We add sequential operations to the categorical algebra of weighted and Markov automata introduced in [L. de Francesco Albasini, N. Sabadini and R.F.C. Walters, 
arXiv:0909.4136]. The extra expressiveness of the algebra permits the description of hierarchical systems, and ones with evolving geometry. We make a comparison with the probabilistic automata of Lynch et al. [SIAM J. Comput.37 (2007) 977–1013].

Keywords

Categorical algebraMarkov processweighted automatonhierarchicaldistributed
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 45 , Issue 1: ICTCS 09 , January 2011 , pp. 117 - 142
Copyright
© EDP Sciences, 2011

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