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Summary

This study introduces a new, efficient SAT-based bounded model-checking method for Metric Temporal Logic (MTL). The approach simplifies verification of real-time systems by reducing propositional variables and clauses compared to existing techniques.

Keywords:
bounded model checkingdigital clocksmetric temporal logicsatisfiability problemtimed automata

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Area of Science:

  • Computer Science
  • Formal Methods
  • Real-Time Systems

Background:

  • Metric Temporal Logic (MTL) extends linear temporal logic (LTL) for real-time systems.
  • Bounded model-checking (BMC) is a technique for verifying system properties.

Purpose of the Study:

  • To present a novel, simpler SAT-based bounded model-checking (SAT-BMC) method for MTL.
  • To improve the efficiency of model-checking discrete infinite timed models generated by discrete timed automata.

Main Methods:

  • Developed a new translation of the existential part of MTL to linear temporal logic (LTL).
  • Introduced a new set of atomic propositions for the translation.
  • Implemented the SAT-BMC method for MTL.

Main Results:

  • The new method requires fewer propositional variables and clauses than the Hard Reset LTL (HLTL)-based method.
  • The method does not necessitate additional clocks or transitions.
  • Experimental results demonstrate the method's efficiency in analyzing various systems.

Conclusions:

  • The proposed SAT-BMC method offers a more efficient approach to verifying MTL properties over discrete timed models.
  • This technique simplifies the model-checking process for real-time systems with digital clocks.