By Franck van Breugel, Elham Kashefi, Catuscia Palamidessi, Jan Rutten
This Festschrift quantity comprises papers provided at a convention, Prakash Fest, held in honor of Prakash Panangaden, in Oxford, united kingdom, in may perhaps 2014, to rejoice his sixtieth birthday. Prakash Panangaden has labored on a wide number of subject matters together with probabilistic and concurrent computation, logics and duality and quantum details and computation. regardless of the big breadth of his study, he has made major and deep contributions. for instance, he brought common sense and a real-valued interpretation of the common sense to seize equivalence of probabilistic techniques quantitatively. The 25 papers incorporated during this quantity have been conscientiously reviewed. They conceal a wide number of subject matters in theoretical computing device science.
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Extra resources for Horizons of the Mind. A Tribute to Prakash Panangaden: Essays Dedicated to Prakash Panangaden on the Occasion of His 60th Birthday
On layout randomization for arrays and functions. C. ) POST 2013. LNCS, vol. 7796, pp. 167–185. Springer, Heidelberg (2013) 10. : A probabilistic poly-time framework for protocol analysis. In: Proceedings of the Fifth ACM Conference on Computer and Communications Security, pp. 112–121 (1998) 11. : A probabilistic polynomial-time process calculus for the analysis of cryptographic protocols. TCS 353(1-3), 118–164 (2006) 12. : Analyzing security protocols using time-bounded task-pioas. Discrete Event Dynamic Systems 18(1), 111–159 (2008) 13.
Then Rχ is the closure of the union of the Riχ under increasing ω-sups, binary unions, and right-closure under ≤ (restricted to store projection sets). Proof. 1. The proof is almost exactly the same as for Lemma 2. As −+ is evidently monotone, R+ contains the Ri+ . Next, as we know, if a relation S on H(SHξ⊥ ) is closed under any one of increasing ω-sups, binary unions, or right-closure under ≤, then so is S + . So we also have that R+ is closed under increasing ω-sups and binary unions, and is right-closed under ≤.
D. Plotkin Since X is a store projection set, we know that ζ/ξ is a store projection, so we have three possibilities: – If ζ is a store projection, we conclude since f preserves store projection sets. – If ζ =⊥, or ζ/ξ = ξ, we conclude using Lemma 6. Lemma 8. 1. Suppose that e is a public natural-number expression, and that ζ ∈ MemW ξ⊥ is such that ζ/ξ is a store projection. Then either: – (w → [[e]]w ζ(w) )/ξ = w → ξ, – (w → [[e]]w ζ(w) )/ξ =⊥ and ζ/ξ =⊥, or – there exists n ∈ such that (w → [[e]]w ζ(w) )/ξ = w → n .