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A Proof System for Projection Temporal Logic

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 208))

Abstract

This paper presents a proof system for projection temporal logic (PTL) over finite domains. To this end, the syntax and semantics of PTL are briefly presented; a set of axioms and inference rules is formalized; also some theorems are summarized and proved. Further, an example is given to illustrate how the axioms and rules work.

This research is supported by the NSFC Grant No. 60433010 and No. 60873018, DPRP No. 51315050105, SRFDP 200807010012, and SKLSE 20080713.

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References

  1. Bledsoe, W., Loveland, D.: Automating Theorem Proving: After 25 Years. Amer Mathematical Society, USA (1984)

    Google Scholar 

  2. Clarke, E., Emerson, E.: Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic. Logic of Programs, 52–71 (1981)

    Google Scholar 

  3. Duan, Z.: An Extended Interval Temporal Logic and A Framing Technique for Interval Temporal Logic Programming. Ph.D Thesis, University of Newcastle Upon Tyne (May 1996)

    Google Scholar 

  4. Duan, Z., Tian, C., Zhang, L.: A decision procedure for propositional projection temporal logic with infinite models. Acta Inf. 45(1), 43–78 (2008)

    Google Scholar 

  5. Duan, Z., Yang, X., Koutny, M.: Framed temporal logic programming. Sci. Comput. Program. 70(1), 31–61 (2008)

    Google Scholar 

  6. Duan, Z., Tian, C.: A Unified Model Checking Approach with Projection Temporal Logic. In: Liu, S., Maibaum, T., Araki, K. (eds.) ICFEM 2008. LNCS, vol. 5256, pp. 167–186. Springer, Heidelberg (2008)

    Google Scholar 

  7. Dutertre, B.: Complete proof systems for first order interval temporal logic. In: Proc. 10th LICS, pp. 36–43. IEEE Computer Society, Los Alamitos (1995)

    Google Scholar 

  8. Guelev, D.P.: A Complete Proof System for First-order Interval Temporal Logic with Projection. Journal of Logic and Computation 14(2), 215–249 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Kesten, Y., Pnueli, A.: A Complete Proof Systems for QPTL. In: LICS 1995, pp. 2–12 (1995)

    Google Scholar 

  10. McMillan, K.: Symbolic Model Checking: An Approach to the State Explosion Problem. Kluwer Academic Publisher, Dordrecht (1993)

    Google Scholar 

  11. Moszkowski, B.: Executing temporal logic programs. Cambridge University Press, Cambridge (1986)

    Google Scholar 

  12. Moszkowski, B.: A complete axiomatization of interval temporal logic with infinite time. In: LICS 2000, pp. 241–252 (2000)

    Google Scholar 

  13. Tian, C., Duan, Z.: Model Checking Propositional Projection Temporal Logic Based on SPIN. In: Butler, M., Hinchey, M.G., Larrondo-Petrie, M.M. (eds.) ICFEM 2007. LNCS, vol. 4789, pp. 246–265. Springer, Heidelberg (2007)

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Duan, Z., Shu, X. (2009). A Proof System for Projection Temporal Logic. In: Lee, R., Hu, G., Miao, H. (eds) Computer and Information Science 2009. Studies in Computational Intelligence, vol 208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01209-9_25

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  • DOI: https://doi.org/10.1007/978-3-642-01209-9_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01208-2

  • Online ISBN: 978-3-642-01209-9

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