Download e-book for kindle: Formal Methods in Computer-Aided Design: First International by Kurt Keutzer (auth.), Mandayam Srivas, Albert Camilleri

By Kurt Keutzer (auth.), Mandayam Srivas, Albert Camilleri (eds.)

ISBN-10: 3540619372

ISBN-13: 9783540619376

This booklet constitutes the refereed lawsuits of the 1st overseas convention on Formal equipment in Computer-Aided layout, FMCAD '96, held in Palo Alto, California, united states, in November 1996.
The 25 revised complete papers provided have been chosen from a complete of sixty five submissions; additionally incorporated are 3 invited survey papers and 4 instructional contributions. the amount covers all suitable formal points of labor in computer-aided platforms layout, together with verification, synthesis, and testing.

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Additional info for Formal Methods in Computer-Aided Design: First International Conference, FMCAD '96 Palo Alto, CA, USA, November 6–8, 1996 Proceedings

Sample text

Zn }, a symbolic shape graph (SSG) is a tuple G = N, D, R, Z, S,V , where: N is a finite set of symbolic nodes, with a designated node Nil ∈ N, D ⊆ N is a set of symbolic dangling nodes, R ⊆ N is a set of symbolic root nodes, Z : N \ D → Z is an injective function assigning each non-dangling node to a counter, – S : N → N⊥ is the successor function, where: • S(Nil) = ⊥ and S(d) = ⊥, for all d ∈ D, • S(n) ∈ R, for all n ∈ N, • S(n) ∈ N, for all n ∈ N \ (D ∪ {Nil}). – V : PVar ∪ LVar → N assigns program and location variables with nodes.

X . ¬ϕ Δ and ∀N k . ϕ = ¬∃N k . ¬ϕ. Moreover, we write k ≤ l and ls(x, y) as shorthands for ∃N k . k + k = l and ∃N k . lsk (x, y), respectively. F is a shorthand for ¬T. The bounded Quantitative Separation Logic and Programs with Lists 37 quantifiers ∃N m ≤ n . ϕ(m) and ∀N m ≤ n . ϕ(m) are used instead of ∃N m . m ≤ n ∧ ϕ(m) and ∀N m . m ≤ n ⇒ ϕ(m), respectively. We shall also deploy some of the classical Δ Δ shorthands in Separation Logic: x → = ∃y . x → y, and x → y = x → y ∗ T, where k Δ y is either a location variable or nil.

Cn ∈ R. It is this normal form we work with in this section. Note that although we phrase everything in terms of the real numbers, the rational numbers work just as well. In fact, any ordered, divisible, torsion free, Abelian group will do. We present verified implementations of two quantifier elimination procedures: one due to Ferrante and Rackoff [6] and one due to Loos and Weispfenning [12]. 1 Atoms Type atom formalizes the normal forms explained above: datatype atom = real < (real list ) | real = (real list ) 28 T.

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Formal Methods in Computer-Aided Design: First International Conference, FMCAD '96 Palo Alto, CA, USA, November 6–8, 1996 Proceedings by Kurt Keutzer (auth.), Mandayam Srivas, Albert Camilleri (eds.)


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