Download CONCUR 2002 — Concurrency Theory: 13th International by Wan Fokkink, Natalia Ioustinova, Ernst Kesseler, Jaco van de PDF

By Wan Fokkink, Natalia Ioustinova, Ernst Kesseler, Jaco van de Pol, Yaroslav S. Usenko (auth.), Luboš Brim, Mojmír Křetínský, Antonín Kučera, Petr Jančar (eds.)

This ebook constitutes the refereed complaints of the thirteenth foreign convention on Concurrency conception, CONCUR 2002, held in Brno, Czech Republic in August 2002.
The 32 revised complete papers offered including abstracts of 7 invited contributions have been conscientiously reviewed and chosen from one zero one submissions. The papers are prepared in topical sections on verification and version checking, common sense, mobility, probabilistic structures, types of computation and approach algebra, protection, Petri nets, and bisimulation.

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Extra info for CONCUR 2002 — Concurrency Theory: 13th International Conference Brno, Czech Republic, August 20–23, 2002 Proceedings

Example text

We use the notation (i ⊕m 1) for (i + 1)mod m. Rule A Deductive Proof System for ctl 35 For assertions p, ϕ0 , . . , ϕm , an fds D with justice requirements J0 = t, J1 , . . , Jm ∈ J , m I1. p⇒ ϕi i=0 For i = 0, . . , m, I2. ϕi ⇒ Ji I3. ϕi ⇒ q ∧ E ¾ (qE U ϕi⊕m 1 ) p ⇒ Ef ¼ q Fig. 8. ef -inv ef -inv proves a temporal property using three premises. Premises I1 and I2 use state reasoning, and premise I3 requires temporal reasoning. Premise I3 is resolved by the rules e-next and e-until which transform the temporal reasoning into state reasoning.

U2. p⇒ ϕ ϕ ⇒ r ∨ (q ∧ ∃V : (ρ ∧ ϕ ∧ δ < δ)) p ⇒ qE U r Fig. 7. e-until of rule a-inv. We follow the construction of [16] (further elaborated in [17]) to show the existence of an assertion characterizing all the states that can appear in a finite run of a system D. Existential Invariance We define a well-founded domain (A, ) to consist of a set A and a well-founded order relation on A. The order relation is called well-founded if there does not exist an infinitely descending sequence a0 , a1 , . .

Premise I1 and I2 are shorthand notations for D |= A ¼ (p → ϕ) and D |= A ¼ (ϕ → q) respectively. Premise I1 states that every reachable p-state is also a ϕ-state. Similarly, premise I2 states that every reachable ϕ-state is a q-state. Assertion ϕ is introduced to strengthen assertion q in case q is not inductive, namely, in case q does not satisfy I3 (see [18] for a discussion on inductive assertions). Premise I3 is a shorthand notation for D |= A ¼ (ϕ(V ) ∧ ρ(V, V ) → ϕ(V )). The premise states that every ρ-successor of a reachable ϕ-state is a ϕ-state (equivalently, all transitions of D preserve ϕ).

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