Computer Aided Verification: 19th International Conference, - download pdf or read online

By Byron Cook (auth.), Werner Damm, Holger Hermanns (eds.)

ISBN-10: 3540733671

ISBN-13: 9783540733676

This quantity comprises the complaints of the overseas convention on C- puter Aided Veri?cation (CAV), held in Berlin, Germany, July 3–7, 2007. CAV 2007 used to be the nineteenth in a sequence of meetings devoted to the development of the speculation and perform of computer-assisted formal research equipment for software program and platforms. The convention covers the spectrum from theoretical - sults to concrete functions, with an emphasis on functional veri?cation instruments and the algorithms and strategies which are wanted for his or her implementation. We obtained 134 standard paper submissions and 39 instrument paper submissions. of those, the ProgramCommittee chosen 33 regularpapersand 14 toolpapers. each one submission was once reviewed via at the very least 3 individuals of this system C- mittee. The reviewing technique integrated a computer assessment assembly, and – for the ?rst time within the historical past of CAV – an writer suggestions interval. approximately 50 extra stories have been supplied by means of specialists exterior to this system Committee to guarantee a top quality choice. The CAV 2007 application incorporated 3 invited talks from undefined: – Byron cook dinner (Microsoft learn) on instantly Proving application T- mination, – David Russino? (AMD) on A Mathematical method of RTL Veri?cation, and – Thomas Kropf (Bosch) on software program insects noticeable from an business Persp- tive.

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Note that the equivalence theory above is A Tutorial on Satisfiability Modulo Theories 27 addeqlit(x = y, F, D) := F, D , if (skip) F ∗ (x) ≡ F ∗ (y) ∗ ∗ ⊥, if F (u) ≡ F (v) for some u = v ∈ D (union) addeqlit(x = y, F, D) := F , D , otherwise where x = F ∗ (x) ≡ F ∗ (y) = y , F = union(F )(x, y) (contrad ) addeqlit(x = y, F, D) := ⊥, if F ∗ (x) ≡ F ∗ (y) addeqlit(x = y, F, D) := F, D , if F ∗ (x) ≡ F ∗ (x ), F ∗ (y) ≡ F ∗ (y ), (skipdiseq) for x = y ∈ D addeqlit(x = y, F, D) := F, {x = y} ∪ D , otherwise.

The negation of a literal p is ¬p, and the negation of ¬p is just p. A formula is a clause if it is the iterated disjunction of literals of the form l1 ∨ . . ∨ ln for literals li , where 1 ≤ i ≤ n. A formula is in conjunctive normal form (CNF) if it is the iterated conjunction of clauses Γ1 ∧ . . ∧ Γm for clauses Γi , where 1 ≤ i ≤ m. 2 First-Order Logic In defining a first-order signature, we assume countable sets of variables X, function symbols F , and predicates P. A first-order logic signature Σ is a partial map from F ∪ P to the natural numbers corresponding to the arity of the symbol.

M [[an ]]) ∈ M (p) M |= ¬ψ ⇐⇒ M |= ψ M |= ψ0 ∨ ψ1 ⇐⇒ M |= ψ0 or M |= ψ1 M |= ψ0 ∧ ψ1 ⇐⇒ M |= ψ0 and M |= ψ1 M |= (∀x : ψ) ⇐⇒ M {x → a} |= ψ, for all a ∈ |M | M |= (∃x : ψ) ⇐⇒ M {x → a} |= ψ, for some a ∈ |M | A first-order Σ-formula ψ is satisfiable if there is a Σ-structure M such that M |= ψ, and it is valid if in all Σ-structures M , M |= ψ. A Σ-sentence is either satisfiable or its negation is valid. We focus on the satisfiability problem for quantifier-free first-order formulas. 3 SAT Solving The principles of modern SAT solving have their origin in the 1960 procedure of Davis and Putnam [DP60], as simplified in 1962 by Davis, Logemann, and Loveland [DLL62].

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Computer Aided Verification: 19th International Conference, CAV 2007, Berlin, Germany, July 3-7, 2007. Proceedings by Byron Cook (auth.), Werner Damm, Holger Hermanns (eds.)

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