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Download CONCUR 2011 – Concurrency Theory: 22nd International by Parosh Aziz Abdulla (auth.), Joost-Pieter Katoen, Barbara PDF

By Parosh Aziz Abdulla (auth.), Joost-Pieter Katoen, Barbara König (eds.)

This publication constitutes the refereed court cases of the twenty second overseas convention on Concurrency idea, CONCUR 2011, held in Aachen, Germany, September 5-10, 2011.
The 32 revised complete papers have been conscientiously reviewed and chosen from ninety four submissions. The papers are equipped in themes akin to real-time structures, probabilistic platforms, automata, separation common sense, π-calculus, Petri nets, strategy algebra and modeling, verification, video games, and bisimulation.

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Additional resources for CONCUR 2011 – Concurrency Theory: 22nd International Conference, CONCUR 2011, Aachen, Germany, September 6-9, 2011. Proceedings

Example text

4 Correctness Theorem 1. If a process q executes command c on state machine sm[i], then c was issued by some process p at entry i (of its command vector), and q has executed every command issued by p before c at entry i. Proof. There are exactly two places of the algorithm of Figure 2 where a process p can execute a command c on its state machine sm[i]: at line 19 and line 16. For p to execute a command c on sm[i] at line 19, p must have obtained c from an adopt-commit object at entry i (comVect2 [i]).

In the meantime, assume process q obtains a command c = c at position 2 and accordingly executes c on sm[2]. – Round 2. Assume p obtains a command at position 2 and accordingly executes that command on its state machine sm[2]. This would violate ordering for p ignores that q already executed c on sm[2] in round 1. Intuitively, the issue should be sorted out by having every process announce what command it has executed before proceeding to the next round: say q would need to notify p that q has executed c on sm[2] in round 1.

Let C = (A, ai , ao , D, I, O) be a C-net. S = IB(A × A) is the state space of C. , a multi-set of pending obligations. 2 ψ(σ) is the state after executing binding sequence σ. Consider C-net Crfc shown in Fig. 2. , no output bindings have been enacted without having corresponding input bindings. If activity binding (a, ∅, {b, d}) occurs, then ψ( (a, ∅, {b, d}) ) = ψ( ) \ (∅ × {a}) ({a} × {b, d}) = ([ ] \ [ ]) [(a, b), (a, d)] = [(a, b), (a, d)]. State [(a, b), (a, d)] denotes the obligation to execute both b and d using input bindings involving a.

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