Reasoning about Real-Time and Probability on Obstruction Logic

Research output: Contribution to journalConference articlepeer-review

Abstract

This paper discusses Timed Obstruction Temporal Logic (TOTL) and Probabilistic Obstruction Temporal Logic (POTL), extensions of Obstruction Logic for systems with critical timing and probabilistic behavior. TOTL focuses on real-time system properties, while POTL handles uncertainty and stochastic events alongside temporal constraints. These logics are especially useful in cybersecurity, where both time and probability are crucial. We demonstrate their applicability through case studies in cybersecurity games based on attack graphs.

Keywords

  • Attack Graphs
  • Dynamic games
  • Markov Chain
  • Strategic Reasoning
  • Timed Systems

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