This note considers checking satisfiability of sets of propositional clauses (SAT instances). It shows that unipolar sets of clauses (containing no positive or no negative clauses) provide an early sign of satisfiability of SAT instances before all the clauses become satisfied in the course of solving SAT problems. At this sign the processing can be terminated by unipolar set termination, UST t...

The evolution of SAT algorithms over the last decade has motivated the application of SAT to model checking, initially through the use of SAT in bounded model checking and, more recently, in unbounded model checking. This paper provides an overview of modern SAT algorithms, SAT-based bounded model checking and some of the most promising approaches for unbounded model checking, namely induction ...

SAT solver. DPLL(X) part of the system is based on our SAT solver called argosat. argo-sat is a rational reconstruction of the MiniSat solver [3]. The main design goal of argo-sat was to improve code readability and flexibility of MiniSat without affecting its performance. This makes experimenting in the field of SAT research easier, and also enables us to formally prove the correctness of the ...

We present a variant of the Weighted Maximum Satisfiability Problem (Weighted Max-SAT), which is a modeling of the Semiring Constraint Satisfaction framework. We show how to encode a Semiring Constraint Satisfaction Problem (SCSP) into an instance of a propositional Weighted Max-SAT, and call the encoding Weighted Semiring Max-SAT (WS-Max-SAT). The clauses in our encoding are highly structured ...

This paper studies the practical impact of the branching heuristics used in Propositional Satisfiability (SAT) algorithms, when applied to solving real-world instances of SAT. In addition, different SAT algorithms are experimentally evaluated. The main conclusion of this study is that even though branching heuristics are crucial for solving SAT, other aspects of the organization of SAT algorith...

Boolean Satisfiability (SAT) solving has dramatically evolved in the past decade and a half. The outcome, today, is manifested in dozens of high performance and relatively scalable SAT solvers. The significant success of SAT solving technology, specially on practical problem instances, is credited to the aggregation of different SAT enhancements. In this paper, we revisit the organization of mo...

A subfamily G⊆F⊆2[n] of sets is a non-induced (weak) copy poset P in F if there exists bijection i:P→G such that p≤Pq implies i(p)⊆i(q). In the case where addition holds and only i(p)⊆i(q), then G an induced (strong) F. We consider minimum number sat(n,P) [resp. sat⁎(n,P)] family F⊆2[n] can have without containing [induced] being maximal with respect to this property, i.e., any G∈2[n]∖F creates...

We investigate the complexity of satis ability problems that surprisingly to the best of our knowledge have not yet been considered in the literature CNF SAT which we also denote by SAT asks for an assignment for a given formula that satis es all of its clauses While SAT is NP complete what is the complexity of SAT where it is asked for an assignment that satis es an odd number of clauses We sh...