The Inverse 3–SAT problem is known to be coNP Complete: Given φ a set of models on n variables, is there a 3–CNF formula such that φ is its exact set of models ? An immediate candidate formula F 3 φ arises, which is the conjunction of all 3–clauses satisfied by all models in φ. The (co)Inverse 3–SAT problem can then be resumed: Given φ a set of models on n variables, is there a model of F 3 φ /...

High order Boltzmann machines (HOBM) have been proposed some time ago, but few applications have been reported. SAT is the canonical NP-complete problem. MAX-SAT is a generalization of SAT in sense that its solution provides answers to SAT. In this paper we propose a mapping on the MAX-SAT problem, in the propositional calculus setting, into HOBM combinatorial optimization problem. The approxim...

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 ...

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 ...

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 ...

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...

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...

We begin by offering a new, direct proof of the equivalence between the problem of the existence of kernels in digraphs, KER, and satisfiability of propositional theories, SAT, giving linear reductions in both directions. Having introduced some linear reductions of the input graph, we present new algorithms for KER, with variations utilizing solvers of boolean equations. In the worst case, the ...

BACKGROUND: Brucellosis is a febrile zoonotic infectionand has worldwide distribution among humans as well asanimals. Although the seroprevalence of brucellosis in variousanimals has been described in Iran, there is only one report onequine brucellosis in the region. OBJECTIVES: This study wascarried out to determine the seroprevalence of brucellosis inracing clubs and private horse owners in t...