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  • Research Article
  • Open Access

Using Model Checking for Analyzing Distributed Power Control Problems

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  • 2, 3,
  • 4Email author,
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EURASIP Journal on Wireless Communications and Networking20102010:861472

  • Received: 14 September 2009
  • Accepted: 25 March 2010
  • Published:


Model checking (MC) is a formal verification technique which has been known and still knows a resounding success in the computer science community. Realizing that the distributed power control (PC) problem can be modeled by a timed game between a given transmitter and its environment, the authors wanted to know whether this approach can be applied to distributed PC. It turns out that it can be applied successfully and allows one to analyze realistic scenarios including the case of discrete transmit powers and games with incomplete information. The proposed methodology is as follows. We state some objectives a transmitter-receiver pair would like to reach. The network is modeled by a game where transmitters are considered as timed automata interacting with each other. The objectives are then translated into timed alternating-time temporal logic formulae and MC is exploited to know whether the desired properties are verified and determine a winning strategy.


  • Model Check
  • Power Control
  • Incomplete Information
  • Temporal Logic
  • Realistic Scenario

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Authors’ Affiliations

Institut de Mathématique, Université de Mons, 7000 Mons, Belgium
Centre de Recherche en Automatique de Nancy (CRAN), Nancy Université, CNRS, 2 avenue de la Forêt de Haye, 54516 Vandoeuvre-les-Nancy, France
Systèmes et Applications des Technologies de l'Information et de l'Energie (SATIE) CNRS, UMR8029-École Normale Supérieure de Cachan, ENS Cachan, France
Laboratoire des Signaux et Systèmes, CNRS, Supelec, Paris 11, 91190 Gif-sur-Yvette, France
Laboratoire Spécification & Vérification, ENS Cachan, 94235 Cachan, France
Department of Computer Science, Aalborg University, 9220 Aalborg, Denmark