A Special Type of Upper Semi-Continuous Collection by Gehman H. M.

By Gehman H. M.

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E. none of its literals is assigned positively and there is at least one free literal, the clause is called not satisfied. Modern SAT solvers are based on the DPLL procedure that was first introduced by Davis and Putnam [22] and was improved by Davis, Logeman and Loveland [21]. Often the DPLL procedure is also referred to as DLL. 1. To begin, a decision is made by choosing a variable and a value for this variable according to a variable selection strategy (Step 1). Then, implications due to this assignment are carried out (Step 2).

Chapter 3 Boolean Satisfiability This chapter provides the background on Boolean Satisfiability (SAT) necessary for the description, in the next chapter, of an ATPG engine based on SAT. 1. 2. 3, the standard transformation of a given circuit into constraints for a SAT solver is introduced. 4 provides a short overview of circuitoriented SAT techniques. 1 SAT Solver SAT solvers usually work on a database that represents the Boolean formula in Conjunctive Normal Form (CNF) or product of sums. A CNF is a conjunction (product) of clauses, where each clause is a disjunction (sum) of literals.

Both SAT approaches are significantly faster than the classical FANbased algorithm and solve all benchmarks in nearly no time. No fault simulation has been applied in the SAT approaches. Therefore, the run times should be compared to Atalanta without fault simulation. 4. 75 orders of magnitude.

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