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].
@article{ITA_2011__45_1_117_0,
author = {de Francesco Albasini, L. and Sabadini, N. and Walters, R. F. C.},
title = {The compositional construction of Markov processes II},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
volume = {45},
year = {2011},
pages = {117-142},
doi = {10.1051/ita/2011015},
mrnumber = {2776857},
zbl = {1216.18005},
language = {en},
url = {http://dml.mathdoc.fr/item/ITA_2011__45_1_117_0}
}
de Francesco Albasini, L.; Sabadini, N.; Walters, R. F. C. The compositional construction of Markov processes II. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) pp. 117-142. doi : 10.1051/ita/2011015. http://gdmltest.u-ga.fr/item/ITA_2011__45_1_117_0/
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