Download e-book for iPad: CONCUR 2009 - Concurrency Theory: 20th International by Martín Abadi, Tim Harris (auth.), Mario Bravetti, Gianluigi

By Martín Abadi, Tim Harris (auth.), Mario Bravetti, Gianluigi Zavattaro (eds.)

ISBN-10: 3642040810

ISBN-13: 9783642040818

This booklet constitutes the refereed lawsuits of the 20 th overseas convention on Concurrency thought, CONCUR 2009, held in Bologna, Italy, September 1-4, 2009.

The 37 revised complete papers awarded including 4 invited papers have been conscientiously reviewed and chosen from 129 submissions. the themes comprise version checking, strategy calculi, minimization and equivalence checking, varieties, semantics, chance, bisimulation and simulation, actual time, and formal languages.

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Extra resources for CONCUR 2009 - Concurrency Theory: 20th International Conference, CONCUR 2009, Bologna, Italy, September 1-4, 2009. Proceedings

Example text

G. the outer name y0 ). Such a structure is called a bigraph because it combines two constituents with the same node-set, here {v0 , v1 , v2 }. These constituents are called a place graph and a link graph. For G, they are denoted by GP : 3 → 2 (a forest) and GL : X → Y (a map from points to links), and pictured thus: place graph GP : 3 → 2 0 1 v0 v2 link graph GL : X → Y y0 v1 1 2 y2 e1 v2 v0 v1 0 y1 e0 x0 x1 We write the combination G = GP , GL . Composition in the category Pg(K) of place graphs over signature K is defined by coalescing each site of one with the corresponding root of the other and erasing their ordinals; similarly in the category Lg(K) of link graphs, coalescing inner with outer names.

The runs for σ in P correspond to the paths in Mσ . We can now apply the standard concepts for Markov chains to reason about the probabilities of infinite paths and define the acceptance probability PrP (σ) for the infinite word σ in P as the probability measure of the accepting runs for σ in the Markov chain Mσ . Probable semantics. A probabilistic ω-automaton P accepts an infinite input word σ if the acceptance probability PrP (σ) is positive. Almost-sure semantics. 1 Threshold semantics. Given a threshold λ ∈]0, 1[, P accepts an infinite input word σ if the acceptance probability PrP (σ) is greater than λ.

E. a single site, but a sorting can give them any rank. There are some simple auxiliary conditions that we ignore here. Bigraphical Categories 35 bigraphical functors, we distinguish our s-categories of concrete bigraphs by the tag in `Bg. All that we have said about forgetting sorting and signature applies as before; we also have functors (shown vertically) that forget support. Indeed, an spm category is just an s-category in which all support-sets are empty. 4 Activity There is one final feature of our functor diagram to be explained: the role of Ord, the category of finite ordinals and maps between them.

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CONCUR 2009 - Concurrency Theory: 20th International Conference, CONCUR 2009, Bologna, Italy, September 1-4, 2009. Proceedings by Martín Abadi, Tim Harris (auth.), Mario Bravetti, Gianluigi Zavattaro (eds.)


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