Half-order modal logic: How to prove real-time properties

Henzinger TA. 1990. Half-order modal logic: How to prove real-time properties. Proceedings of the 9th annual ACM symposium on Principles of distributed computing. PODC: Principles of Distributed Computing, 281–296.

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Abstract
We introduce a novel extension of propositional modal logic that is interpreted over Kripke structures in which a value is associated with every possible world. These values are. however, not treated as full first-order objects: they can be accessed only by a very restricted form of quantification: the "freeze" quantifier binds a variable to the value of the current world. We present a complete proof system for this ("half-order") modal logic. As a special case, we obtain the real-time temporal logic TPTL of [AH891: the models are restricted to infinite sequences of states, whose values are monotonically increasing natural numbers. The ordering relation between states is interpreted as temporal precedence. while the value associated with a state is interpreted as its "rear time. We extend our proof system to be complete for TPTL. and demonstrate how it can be used to derive real-time properties.
Publishing Year
Date Published
1990-01-01
Proceedings Title
Proceedings of the 9th annual ACM symposium on Principles of distributed computing
Acknowledgement
Many thanks to Rajeev Alur, Adam Grove, Zohar Manna, and Amir Pnueli for their continuous discussions and support.
Page
281 - 296
Conference
PODC: Principles of Distributed Computing
Conference Location
Quebec City, Canada
Conference Date
1990-08-22 – 1990-08-24
IST-REx-ID

Cite this

Henzinger TA. Half-order modal logic: How to prove real-time properties. In: Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing. ACM; 1990:281-296. doi:10.1145/93385.93429
Henzinger, T. A. (1990). Half-order modal logic: How to prove real-time properties. In Proceedings of the 9th annual ACM symposium on Principles of distributed computing (pp. 281–296). Quebec City, Canada: ACM. https://doi.org/10.1145/93385.93429
Henzinger, Thomas A. “Half-Order Modal Logic: How to Prove Real-Time Properties.” In Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing, 281–96. ACM, 1990. https://doi.org/10.1145/93385.93429.
T. A. Henzinger, “Half-order modal logic: How to prove real-time properties,” in Proceedings of the 9th annual ACM symposium on Principles of distributed computing, Quebec City, Canada, 1990, pp. 281–296.
Henzinger TA. 1990. Half-order modal logic: How to prove real-time properties. Proceedings of the 9th annual ACM symposium on Principles of distributed computing. PODC: Principles of Distributed Computing, 281–296.
Henzinger, Thomas A. “Half-Order Modal Logic: How to Prove Real-Time Properties.” Proceedings of the 9th Annual ACM Symposium on Principles of Distributed Computing, ACM, 1990, pp. 281–96, doi:10.1145/93385.93429.

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