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
Bledsoe, W., Loveland, D.: Automating Theorem Proving: After 25 Years. Amer Mathematical Society, USA (1984)
Clarke, E., Emerson, E.: Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic. Logic of Programs, 52–71 (1981)
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)
Duan, Z., Tian, C., Zhang, L.: A decision procedure for propositional projection temporal logic with infinite models. Acta Inf. 45(1), 43–78 (2008)
Duan, Z., Yang, X., Koutny, M.: Framed temporal logic programming. Sci. Comput. Program. 70(1), 31–61 (2008)
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)
Dutertre, B.: Complete proof systems for first order interval temporal logic. In: Proc. 10th LICS, pp. 36–43. IEEE Computer Society, Los Alamitos (1995)
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)
Kesten, Y., Pnueli, A.: A Complete Proof Systems for QPTL. In: LICS 1995, pp. 2–12 (1995)
McMillan, K.: Symbolic Model Checking: An Approach to the State Explosion Problem. Kluwer Academic Publisher, Dordrecht (1993)
Moszkowski, B.: Executing temporal logic programs. Cambridge University Press, Cambridge (1986)
Moszkowski, B.: A complete axiomatization of interval temporal logic with infinite time. In: LICS 2000, pp. 241–252 (2000)
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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