Abstract
It is shown that the satisfiability/validity questions in Temporal Logic of Actions can be translated into satisfiability/validity questions in Second Order Temporal Logic and vice versa. The translation from Second Order Temporal Logic into Temporal Logic of Actions is linear and the translation from Temporal Logic of Actions into Second Order Temporal Logic is quadratic.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Abadi, The power of temporal proofs, Theoretical Computer Science 65 (1989), 35–83.
M. Abadi, An Axiomatization of Lamport’s Temporal Logic of Actions, in: J. C. M. Baeten and J. W. Klop, eds., Proceedings of CONCUR’90: Theories of concurrency: unification and extension, Springer Verlag, 1990, pp. 57–69. (Lecture Notes in Computer Science 458)
N. Bjørner, A. Browne, E. Chang, M. Colón, A. Kapur, Z. Manna, H. B. Simpa, and T. E. Uribe, STeP: Deductive-Algorithmic Verification of Reactive and Real-time Systems, in: R. Alur and T. A. Henzinger, eds., Proceedings of the 8th International Conference on Computer-Aided Verification, Springer Verlag, 1996, pp. 415–418. (Lecture Notes in Computer Science 1102)
U. Engberg, Reasoning in the Temporal Logic of Actions-The design and implementation of an interactive computer system, Ph.D. thesis, Department of Computer Science, University of Aarhus, 1996.
M. Kaminski and C. K. Wong, The power of the “always” operator in first-order temporal logic, Theoretical Computer Science B 160 (1996), 271–281.
L. Lamport, The temporal logic of actions, ACM Transactions on Programming Languages and Systems 16 (1994), 872–923.
A. Rabinovich, Expressive Completeness of Temporal Logic of Actions, in: L. Brim, J. Gruska, and J. Zlatuška, eds., Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Sciece, Springer Verlag, 1998, pp. 229–238. (Lecture Notes in Computer Science 1450)
A. Rabinovich, On Translation of Temporal Logic of Actions into Monadic Second Order Logic, Theoretical Computer Science 193 (1998), 197–214
M. Tiomkin and M. Kaminski, Semantical analysis of logic of actions, Journal of Logic and Computation 5 (1995), 203–212.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Estrin, A., Kaminski, M. (1999). The Expressive Power of Temporal Logic of Actions. In: Baeten, J.C.M., Mauw, S. (eds) CONCUR’99 Concurrency Theory. CONCUR 1999. Lecture Notes in Computer Science, vol 1664. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48320-9_20
Download citation
DOI: https://doi.org/10.1007/3-540-48320-9_20
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66425-3
Online ISBN: 978-3-540-48320-5
eBook Packages: Springer Book Archive