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Verifying safety critical task scheduling systems in PPTL axiom system

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Abstract

This paper presents a case study of formal verification of safety critical task scheduling systems. First, a scheduling algorithm described in a temporal logic programming language is presented; then a sufficient and necessary condition for the schedulability of task set is formalized. Further, the correctness of the condition is proved by means of theorem proving in the axiom system of Propositional Projection Temporal Logic.

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Acknowledgments

This research is supported by the National Program on Key Basic Research Project of China (973 Program) Grant No. 2010CB328102, National Natural Science Foundation of China under Grant Nos. 91118007, 61133001, 61202038.

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Authors and Affiliations

  1. Institute of Computing Theory and Technology and ISN Lab, Xidian University, Xi’an, 710071, China

    Nan Zhang, Zhenhua Duan & Cong Tian

  2. China Academy of Space Technology, Beijing, 100094, China

    Mengfei Yang & Bin Gu

Authors
  1. Nan Zhang
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  2. Mengfei Yang
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  3. Bin Gu
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  4. Zhenhua Duan
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  5. Cong Tian
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Corresponding author

Correspondence to Zhenhua Duan.

Appendix: Axiom system of PPTL

Appendix: Axiom system of PPTL

Axioms:

figure aa

Inference Rules:

figure ab

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Zhang, N., Yang, M., Gu, B. et al. Verifying safety critical task scheduling systems in PPTL axiom system. J Comb Optim 31, 577–603 (2016). https://doi.org/10.1007/s10878-014-9776-3

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  • DOI: https://doi.org/10.1007/s10878-014-9776-3

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