By Thomas Kropf
Hardware verification is a sizzling subject in circuit and approach layout because of emerging circuit complexity. This complicated textbook offers a nearly entire review of thoughts for verification. It covers all methods utilized in present instruments, corresponding to binary and word-level choice diagrams, symbolic tools for equivalence checking, and temporal good judgment version checking, and introduces using higher-order good judgment theorem proving for verifying circuit correctness. It permits the reader to appreciate the benefits and boundaries of every technique.
Each bankruptcy includes an creation and a precis in addition to a piece for the complicated reader. therefore a huge viewers is addressed, from newbies in process layout to experts.
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Additional resources for Introduction to Formal Hardware Verification
3 Binary Decision Diagrams Function tables have the advantage that it is easy to derive the truth value from a given variable valuation. Moreover, they have the normal form property, facilitating the equivalence test of two Boolean functions. However, representing the complete function requires an exponential amount of storage. On the other hand, formulas of propositional logic are efficient representations but require more effort for evaluation and equivalence test. In the following binary decision diagrams are presented which are in most cases more compact than function tables but allow an efficient test for satisfiability, validity and equivalence.
We thus have to find the intersection of all valuations. This leads to a conjunction of the respective characteristic functions. 4 Specification, Proof Goals and Proof The restricted expressiveness of Boolean functions does not allow the application of abstraction techniques. Thus, we can only describe purely combinational circuits. We are not able to give specifications on more abstract levels. , to verify their functional equivalence. Following the two modeling paradigms (functional and relational) we find two corresponding ways of performing a verification: the implicit and the explicit proof (Fig.
Verification is the formal proof that an implementation behaves according to its specification. 9 Summary 27 no no Chapter 3 Chapter 2 Chapter 2 Chapter 5 Chapter 4 Fig. 1-17. Decision diagram for selecting the appropriate verification method • A formal verification is only as good as the underlying model of real objects. Moreover a verification is only a correctness proposition with regard to a formal specification: if the specification or the modeling is wrong then even a positive result of a correctness proof is meaningless (false positives).
Introduction to Formal Hardware Verification by Thomas Kropf