Download e-book for kindle: Advanced Formal Verification by Rolf Drechsler

By Rolf Drechsler

ISBN-10: 1402025300

ISBN-13: 9781402025303

Advanced Formal Verification exhibits the newest advancements within the verification area from the views of the consumer and the developer. international best specialists describe the underlying tools of present day verification instruments and describe numerous eventualities from business perform. within the first a part of the ebook the middle strategies of modern formal verification instruments, resembling SAT and BDDs are addressed. additionally, multipliers, that are identified to be tough, are studied. the second one half supplies perception in expert instruments and the underlying method, resembling estate checking and statement established verification. ultimately, analog parts need to be thought of to deal with whole procedure on chip designs.

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Example text

Then after applying the same reasoning to the point p , we conclude that the clause assigned to p by g must contain a literal of a variable y from Y \ {y}. Flipping the value of y in p we produce a point p that is either the satisfying assignment s or is at distance |Y | − 2 from s. Going on in this manner we reach the satisfying assignment s in |Y| steps. 11 Let P be a set of points that is stable with respect to a CNF formula F and a transport function g : P → F . Then ∀p ∈ P , Reachable(p, g) ⊆ P .

The function Cf (v 1 (C),v 2 (C)) is built by computing the function existentially implied by Ff (v 1 (A)) ∨ Ff (v 1 (B)) ∨ Ff (v 2 (A)) ∨ Ff (v 2 (B)) ∨ Cf (v 1 (A), v 2 (A)) ∨ Cf (v 1 (B), v 2 (B)) ∨ F (I 1 (G)) ∨ F (I 2 (G)). 2. Once correlation functions are computed for all primary output variables of S, finish the proof of unsatisfiability of F by invoking a SATsolver like [8],[16]. ) The complexity of this procedure is about the same as in general resolution which is equal to d ∗ n ∗ 36p where d is a constant and n is the number of blocks.

Since S is a CS of N1 and N2 , then q1 (C) = q2 (C). So any assignment q1 (c), q2 (c) to v1 (C) and v2 (C) that satisfies Cf (v1 (C), v2 (C)) also satisfies clauses K =f1 ∨ ∼ f2 and K =∼f 1 ∨ f 2 . 6. ) Using each pair of equivalence clauses K and K and the clauses specifying the gate g=XOR(f 1 ,f 2 ) of the miter, one can deduce a single literal clause ∼g. This clause requires setting the output of this XOR gate to 0. Each such a clause can be deduced in the number of resolutions bounded by a constant and the total number of such clauses cannot be more than n∗p.

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Advanced Formal Verification by Rolf Drechsler


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