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Title: Obligation Blackwell Games and p-Automata
Authors: Chatterjee, Krishnendu
Piterman, Nir
First Published: 19-Jun-2017
Citation: Journal of Symbolic Logic, 2017, 82(2) pp. 420-452
Abstract: We generalize winning conditions in two-player games by adding a structural acceptance condition called obligations. Obligations are orthogonal to the linear winning conditions that define whether a play is winning. Obligations are a declaration that player 0 can achieve a certain value from a configuration. If the obligation is met, the value of that configuration for player 0 is 1. We define the value in such games and show that obligation games are determined. For Markov chains with Borel objectives and obligations, and finite turn-based stochastic parity games with obligations we give an alternative and simpler characterization of the value function. Based on this simpler definition we show that the decision problem of winning finite turn-based stochastic parity games with obligations is in NP\co-NP.We also show that obligation games provide a game framework for reasoning about p-automata.
DOI Link: 10.1017/jsl.2016.71
ISSN: 0022-4812
eISSN: 1943-5886
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2017, Association for Symbolic Logic. Deposited with reference to the publisher’s open access archiving policy.
Appears in Collections:Published Articles, Dept. of Computer Science

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