Foundations of Software Science and Computation Structures: by Taolue Chen, Wan Fokkink, Sumit Nain (auth.), Luca Aceto,

By Taolue Chen, Wan Fokkink, Sumit Nain (auth.), Luca Aceto, Anna Ingólfsdóttir (eds.)


This publication constitutes the refereed complaints of the ninth foreign convention on Foundations of software program technological know-how and Computation buildings, FOSSACS 2006, held in Vienna, Austria in March 2006 as a part of ETAPS.

The 28 revised complete papers offered including 1 invited paper have been rigorously reviewed and chosen from 107 submissions. The papers are prepared in topical sections on cellular techniques, software program technological know-how, allotted computation, express types, actual time and hybrid platforms, procedure calculi, automata and common sense, domain names, lambda calculus, varieties, and security.

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Additional resources for Foundations of Software Science and Computation Structures: 9th International Conference, FOSSACS 2006, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2006, Vienna, Austria, March 25-31, 2006. Proceedings

Example text

The work required to show that nβ is sound with respect to nD is similar to earlier up-to β-moves work discussed in Section 4: we have to show that βmove confluence (similar to Lemma 1) is also preserved for the new action fail; we also have to show that after a β-move, the redex and reduct configurations are counting-bisimilar (similar to Proposition 1). Finally we prove the following proposition Proposition 4 (Inclusion of fault tolerant simulation up-to β-moves). If Γ1 M1 nβ Γ2 M2 then Γ1 M1 nD Γ2 M2 Proof.

Lemma 1 (Confluence of β-moves). −→β observes the diamond property: Γ N µ Γ   τ / Γ M implies Γ N  µ N τ β Γ M Γ  /Γ M β µ N  τ +3 ≡ Γ β f  M or µ = τ and Γ M = Γ N A Theory for Observational Fault Tolerance 27 Table 7. β-Equivalence Rules for Typed DπLoc Γ |= N|M Γ |= (N|M)|M Γ |= N|l[[0]] Γ |= (ν n : T)(N|M) Γ |= (ν n : T)(ν m : U)N Γ |= (ν n : T)N Γ |= l[[P]] (bs-comm) (bs-assoc) (bs-unit) (bs-extr) (bs-flip) (bs-inact) (bs-dead) ≡f ≡f ≡f ≡f ≡f ≡f ≡f M|N N|(M|M ) N N|(ν n : T)M (ν m : U)(ν n : T)N N l[[Q]] n fn(N) n fn(N) Γ l : alive Proof.

This is outlined in Section 2, where we also formally define the language we use, DπLoc, give its reduction semantics, and also outline the behavioural equivalence ∼ =; this last is simply an instance of reduction barbed congruence, [6], modified so that observations can only be made at public locations. In Section 3 we give our formal definition of faulttolerance; actually we give two versions of (1) above, called static and dynamic fault tolerance; we also motivate the difference with examples. Proof techniques for establishing fault tolerance are given in Section 4; in particular we give a complete co-induction characterisation of ∼ =, using labelled actions, and some useful up-to techniques for presenting witness bisimulations.

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