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 top specialists describe the underlying equipment of latest verification instruments and describe numerous situations from commercial perform. within the first a part of the ebook the middle strategies of brand new formal verification instruments, resembling SAT and BDDs are addressed. moreover, multipliers, that are recognized to be tough, are studied. the second one half provides perception in specialist instruments and the underlying method, akin to estate checking and statement established verification. ultimately, analog elements must be thought of to deal with whole procedure on chip designs.

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**Extra resources for Advanced Formal Verification**

**Example text**

Each block G of S is replaced with an implementation I of G. Let the output of block G1 (speciﬁed by variable C) be connected to an input of block G2 (speciﬁed by the same variable C) in S. 1. 2. v(B) (b) A speciﬁcation and its implementation connected to inputs of circuit I2 implementing G2 . Namely, the primary output of I1 speciﬁed by a Boolean variable qi ∈ v(C) is connected to the input of I2 speciﬁed by the same variable of v(C) if qi ∈ Inp(I2 ). Fig. 2 gives an example of a speciﬁcation (Fig.

If the value of |X 2 | is small, one can compute H(X 2 ) by running 2k SAT-checks where k=|X 2 |. For every assignment z to the variables of X2 one needs to check if there is an assignment y to the variables of X1 such that (y,z) satisﬁes F . If such an assignment exists then the next assignment is checked. Otherwise, a clause consisting of literals of variables from X 2 that is falsiﬁed by the assignment z is added to the clauses of H(X 2 ). If the size of X 2 is large, one can compute ﬁltering and correlation functions by existential quantiﬁcation of the variables of X 1 .

Let I1 (G) and I2 (G) be the implementations of G in N1 and N2 respectively. ) Then length(q 1 (C))= length(q 2 (C))=k. ) Now we show that there is always a correlation function Cf (v 1 (C), v 2 (C)) speciﬁed by the CNF consisting of k pairs of two literal clauses 20 ADVANCED FORMAL VERIFICATION specifying the equivalence of corresponding outputs of I 1 (G) and I 2 (G). Let f1 and f2 be two Boolean variables of v1 (C) and v2 (C) respectively that specify corresponding outputs of N1 and N2 . Since S is a CS of N1 and N2 , then q1 (C) = q2 (C).

### Advanced Formal Verification by Rolf Drechsler

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