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 algebra, Markov process, weighted automaton, hierarchical, distributed
@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},
pages = {117--142},
year = {2011},
publisher = {EDP Sciences},
volume = {45},
number = {1},
doi = {10.1051/ita/2011015},
mrnumber = {2776857},
zbl = {1216.18005},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ita/2011015/}
}
TY - JOUR AU - de Francesco Albasini, L. AU - Sabadini, N. AU - Walters, R. F. C. TI - The compositional construction of Markov processes II JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2011 SP - 117 EP - 142 VL - 45 IS - 1 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ita/2011015/ DO - 10.1051/ita/2011015 LA - en ID - ITA_2011__45_1_117_0 ER -
%0 Journal Article %A de Francesco Albasini, L. %A Sabadini, N. %A Walters, R. F. C. %T The compositional construction of Markov processes II %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2011 %P 117-142 %V 45 %N 1 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ita/2011015/ %R 10.1051/ita/2011015 %G en %F 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) no. 1, pp. 117-142. doi: 10.1051/ita/2011015
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