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Hierarchical Cost-Parity Games

Authors Laura Bozzelli, Aniello Murano, Giuseppe Perelli, Loredana Sorrentino

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Laura Bozzelli
Aniello Murano
Giuseppe Perelli
Loredana Sorrentino

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Laura Bozzelli, Aniello Murano, Giuseppe Perelli, and Loredana Sorrentino. Hierarchical Cost-Parity Games. In 24th International Symposium on Temporal Representation and Reasoning (TIME 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 90, pp. 6:1-6:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017) https://doi.org/10.4230/LIPIcs.TIME.2017.6

Abstract

Cost-parity games are a fundamental tool in system design for the analysis of reactive and distributed systems that recently have received a lot of attention from the formal methods research community. They allow to reason about the time delay on the requests granted by systems, with a bounded consumption of resources, in their executions. 

In this paper, we contribute to research on Cost-parity games by combining them with hierarchical systems, a successful method for the succinct representation of models. We show that determining the winner of a Hierarchical Cost-parity Game is PSpace-Complete, thus matching the complexity of the proper special case of Hierarchical Parity Games. This shows that reasoning about temporal delay can be addressed at a free cost in terms of complexity.

Subject Classification

Keywords
  • Parity Games
  • Cost-Parity Games
  • Hierarchical Systems
  • System Verification

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