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A probabilistic duration calculus

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Liu, Zhiming, Ravn, Anders P., Sørensen, Erling V. and Zhou, Chaochen (1992) A probabilistic duration calculus. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)

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Abstract

This paper presents a calculus that enables a designer of an embedded, real-time system to reason about and calculate whether a given requirement will hold with a sufficient high probability for given failure probabilities for components used in the design of the system. The main idea is to specify requirements and design in Duration Calculus, a real-time, interval logic, to define satisfaction probabilities for formulas in this calculus, and establish a calculus with rules that support calculation of the probability for a composite formula from probabilities of its constituents. This ensures that reasoning about probabilities is consistent with requirements and design decisions. We thus avoid introducing separate models for requirements and reliability analysis. The system model is a finite automaton with fixed transition probabilities. This defines discrete Markov processes as basis for the calulus. Keywords: duration calculus, real-time systems, probabilistic automata, satisfaction probability.

Item Type:

Report

Subjects:

Q Science > QA Mathematics

Divisions:

Faculty of Science, Engineering and Medicine > Science > Computer Science

Library of Congress Subject Headings (LCSH):

Calculus, Interactive computer systems, Probabilistic automata

Series Name:

Department of Computer Science research report

Publisher:

University of Warwick. Department of Computer Science

Official Date:

May 1992

Dates:

Date	Event
May 1992	Completion

Number:

Number 218

Number of Pages:

DOI:

CS-RR-218

Institution:

University of Warwick

Theses Department:

Department of Computer Science

Status:

Not Peer Reviewed

Publication Status:

Unpublished

Reuse Statement (publisher, data, author rights):

Z. Liu, A.P. Ravn, E.V. Sorensen and C.C. Zhou, “A Probabilistic Duration Calculus”, <i>Responsive Computer Systems</i>, Dependable Computing and Fault-Tolerant Systems 7, ed. H. Kopetz and Y. Kakuda, Springer-Verlag, Vienna (1993); Proceedings of the Second International Workshop on Responsive Systems, Saitama, Japan

Funder:

European Strategic Programme of Research and Development in Information Technology (ESPRIT), Technical Research Council (Denmark) (TRC)

Grant number:

BRA 3104 (ESPRIT), RapID (TRC)

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