2019
DOI: 10.1609/aaai.v33i01.33016030
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An Abstraction-Based Method for Verifying Strategic Properties in Multi-Agent Systems with Imperfect Information

Abstract: We investigate the verification of Multi-agent Systems against strategic properties expressed in Alternating-time Temporal Logic under the assumptions of imperfect information and perfect recall. To this end, we develop a three-valued semantics for concurrent game structures upon which we define an abstraction method. We prove that concurrent game structures with imperfect information admit perfect information abstractions that preserve three-valued satisfaction. Further, we present a refinement procedure to d… Show more

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Cited by 16 publications
(20 citation statements)
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“…Using the same model, strategic abilities in MAS with private data sharing (Belardinelli, F., Boureanu, I., et al ., 2019) and those under imperfect information (Belardinelli, F., Lumuscio, A., et al ., 2019) were verified. We propose to call the models exhibited above AIPs models with reference to the Agent Interaction Protocols.…”
Section: Modelling Mas Openness: State Of the Artmentioning
confidence: 89%
“…Using the same model, strategic abilities in MAS with private data sharing (Belardinelli, F., Boureanu, I., et al ., 2019) and those under imperfect information (Belardinelli, F., Lumuscio, A., et al ., 2019) were verified. We propose to call the models exhibited above AIPs models with reference to the Agent Interaction Protocols.…”
Section: Modelling Mas Openness: State Of the Artmentioning
confidence: 89%
“…In addition, here we just consider perfect recall strategies in multi-agent concurrent games with complete information. Next, we will further study these new proposed strategic logics under incomplete information [45][46][47], where the strategies of agents maybe memoryless or perfect recall [48]. In this paper, we present formal frameworks and show technical results; in the future, we will also present case studies or practical applications to illustrate these theories, such as information security [49], solving winning strategies [50], and voting protocol [51].…”
Section: Discussionmentioning
confidence: 99%
“…Model Checking on MAS. Existing approaches to approximate AT L model checking under imperfect information and perfect recall have either focused on an approximation to perfect information [4,5] or developed notions of bounded recall [6]. Differently from these works, we do not restrain the class of problems tackled by our technique.…”
Section: Related Workmentioning
confidence: 99%
“…So, our procedure approximates the truth value by considering the case in which all the agents in the game collaborate to achieve the objectives not satisfied in the model checking phase. That is, while in [4,5] the approximation is given in terms of information, in [6] is given in terms of recall of the strategies, and in [17] the approximation is given by generalizing the logic, here we give results by approximating the coalitions. Furthermore, we recall that our procedure produces always results, even partial.…”
Section: Our Proceduresmentioning
confidence: 99%