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@inproceedings{1377784,
author = {Hermanns, Holger and Krčál, Jan and Vester, Steen},
address = {Berlin},
booktitle = {International Conference on Foundations of Software Science and Computation Structures.},
doi = {http://dx.doi.org/10.1007/978-3-662-49630-5_21},
keywords = {distributed controller synthesis; interactive Markov chains; undecidabiliy},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Berlin},
isbn = {978-3-662-49629-9},
pages = {353-369},
publisher = {Springer},
title = {Distributed synthesis in continuous time.},
year = {2016}
}
TY - JOUR
ID - 1377784
AU - Hermanns, Holger - Krčál, Jan - Vester, Steen
PY - 2016
TI - Distributed synthesis in continuous time.
PB - Springer
CY - Berlin
SN - 9783662496299
KW - distributed controller synthesis
KW - interactive Markov chains
KW - undecidabiliy
N2 - We introduce a formalism modelling communication of distributed agents strictly in continuous-time. Within this framework, we study the problem of synthesising local strategies for individual agents such that a specified set of goal states is reached, or reached with at least a given probability. The flow of time is modelled explicitly based on continuous-time randomness, with two natural implications: First, the non-determinism stemming from interleaving disappears. Second, when we restrict to a subclass of non-urgent models, the quantitative value problem for two players can be solved in EXPTIME. Indeed, the explicit continuous time enables players to communicate their states by delaying synchronisation (which is unrestricted for non-urgent models). In general, the problems are undecidable already for two players in the quantitative case and three players in the qualitative case. The qualitative undecidability is shown by a reduction to decentralized POMDPs for which we provide the strongest (and rather surprising) undecidability result so far.
ER -
HERMANNS, Holger, Jan KRČÁL a Steen VESTER. Distributed synthesis in continuous time. In \textit{International Conference on Foundations of Software Science and Computation Structures.}. Berlin: Springer, 2016, s.~353-369. ISBN~978-3-662-49629-9. Dostupné z: https://dx.doi.org/10.1007/978-3-662-49630-5\_{}21.
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