By H. Kopetz (auth.), Prof. Hermann Kopetz, Dr. Yoshiaki Kakuda (eds.)

For the second one time the overseas Workshop on Responsive Com­ puter structures has introduced jointly a bunch of foreign specialists from the fields of real-time computing, dispensed computing, and fault­ tolerant structures. the 2 day workshop met on the the best option amenities on the KDD study and improvement Laboratories at Kamifukuoka, Saitama, in Japan on October 1 and a pair of, 1992. this system integrated a keynote deal with, a panel dialogue and, as well as the outlet and shutting consultation, six periods of submitted displays. The keynote tackle "The recommendations and applied sciences of count­ capable and Real-time desktops for Shinkansen educate keep watch over" coated the structure of the pc keep watch over procedure at the back of a really responsive, i. e. , well timed and trustworthy, shipping system-the Shinkansen educate. it's been interesting to hear the operational adventure with a wide fault-tolerant machine software. "What are the main Paradigms within the Integration of Timeliness and Reliability?" was once the subject of the energetic panel dialogue. once more the pro's and con's of the time-triggered as opposed to the event-triggered paradigm within the layout of a real-time platforms have been mentioned. The eighteen submitted shows lined varied subject matters approximately vital matters within the layout of responsive platforms and a consultation on growth experiences approximately innovative study initiatives. vigorous discussions characterised either days of the assembly. This quantity comprises the revised shows that include a number of the discussions that happened throughout the meeting.

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The RTL inequalities used are of the form @(Evj, i) + Cj :S @(EV2,j) :S @(Evj,i) + C2; this type of formula has the following implicit quantification Vi, t ::Jj, t' • @(Evj,i) = t /\ @(EV2,j) = t' /\ t+ Cj :S t' :S t + C2; 3.

The above four axioms and rules follow directly from probability theory. The following theorem can easily be proven from them. Theorem 1 For arbitrary duration formulas D, D], D2 and D3 1. pU f) = 0 2. 0 ~ fj(D) 3. If Dl 4. ¢:} ~ 1 D2 in the duration calculus, then p(D]) If Dl 1\ D2 ~ = JL(D2) D3 in the duration calculus, then No behaviour with a prefix of length t satisfies J 1 =I- t. The validity of a global formula (no modal terms T or p(D) in it) does not depend upon the time interval. More generally we have AR 6 For a PDC formula F such that t is not free in F or F is a global formula, if (T = t) ~ F holds, then F holds.

In addition, they show how to design a number of self-stabilized protocols using closure and convergence properties[l]. However, they did not discuss the real-time properties for design of responsive protocols. Kakuda and Kikuno propose an automated method for verifying responsive protocols[4]. The protocols are modeled by an extended finite state machine, which allows to use variables, but values of the variables are restricted to finite. In order to verify responsive protocols, they apply methods for protocol verification to verification of fault-tolerant properties, and task scheduling algorithms for multi-processor systems to verification of real-time properties.

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