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research-article

Completeness of the accumulation calculus

Published: 22 March 2023 Publication History

Abstract

The accumulation calculus (AC for short) is an interval based temporal logic to specify and reason about hybrid real-time systems. This paper presents a formal proof system for AC, and proves that the system is complete relative to that of Interval Temporal Logic (ITL for short) on real domain.

References

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Yu Huiqun, Pandya P K, Sun Yongqiang. A calculus for hybrid sampled data systems. InFormal Techniques in Real-Time and Fault-Tolerant Systems, LNCS 863, Langmaack H, de Rover W P, Vytopil J (eds.), Springer Verlag, 1994, pp.716–737.
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Hansen M R, Zhou Chaochen. Semantics and completeness of duration calculus. InReal-Time: Theory in Practice, LNCS 600, de Bakker J W, Huizing C, de Roever W P, Rozenberg G (eds.), Springer-Verlag, 1992, pp.209–225.

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Information & Contributors

Information

Published In

cover image Journal of Computer Science and Technology
Journal of Computer Science and Technology  Volume 13, Issue 1
Jan 1998
96 pages

Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 22 March 2023
Revision received: 20 December 1996
Received: 25 May 1996

Author Tags

  1. Interval Temporal Logic
  2. accumulation calculus
  3. real-time system
  4. completeness

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