The MAX-SAT problem is to find a truth assignment that satisfies the maximum number of clauses in a finite set of logical clauses. In the special case of MAX-XOR-SAT, arising from Linear Cryptanalysis, each clause is a set of literals joined by exclusive-or (xor). Solving MAX-XOR-SAT is useful in finding keys to decrypt intercepted encrypted messages. This report presents and evaluates Xor-Walk...

Automatic Test Pattern Generation (ATPG) is arguably one of the practical applications that motivated the development of modern Boolean Satisfiability (SAT) solvers in the mid 90s. Despite the interest of using SAT in ATPG, the original model remained mostly unchanged for nearly two decades, even in the presence of renewed interest in applying modern SAT technology to large-scale hardware desig...

An interesting strategy called configuration checking (CC) was recently proposed to handle the cycling problem in local search for Minimum Vertex Cover. A natural question is whether this CC strategy also works for SAT. The direct application of CC did not result in stochastic local search (SLS) algorithms that can compete with the current best SLS algorithms for SAT. In this paper, we propose ...

The not all equal (NAE) 3-SAT problem is known to be NP-complete even in the absence of negated variables (see [11]), a variant known as positive (or monotone) NAE 3-SAT. In this article, we investigate a related category, dubbed positive NAE LE3SAT (PNAE LE3-SAT), in which each clause has at most three variables, none of which is negated, and an assignment is sought that will satisfy such an e...

Advances in methods for solving Boolean satisfiability (SAT) for large problems have motivated recent attempts to recast physical design problems as Boolean SAT problems. One persistent criticism of these approaches is their inability to supply partial solutions, i.e, to satisfy most but not all of the constraints cast in the SAT style. In this paper we present a formulation for “subset satisfi...

A language in which we can express arithmetic and which contains its own satisfaction predicate (in the style of Kripke’s theory of truth) can be formulated using just two nonlogical primitives: ′ (the successor function) and Sat (a satisfaction predicate). Let L be a language with vocabulary: , ( ) ∃ ¬ ∨ = ′ Sat plus the variables x0, x1, x2, . . .. A term is a variable followed by zero or mor...

Automatic Test Pattern Generation (ATPG) based on Boolean Satisfiability (SAT) is a robust alternative to classical structural ATPG. Due to the powerful reasoning engines of modern SAT solvers, SAT-based algorithms typically provide a high test coverage because of the ability to reliably classify hardto-detect faults. However, a weak point of SAT-based ATPG is the test compaction ability. In th...

Logic encryption is a hardware security technique that uses extra key inputs to prevent unauthorized use of a circuit. With the discovery of the SAT-based attack, new encryption techniques such as SARLock and Anti-SAT are proposed, and further combined with traditional logic encryption techniques, to guarantee both high error rates and resilience to the SAT-based attack. In this paper, the SAT-...

Boolean satisfiability (SAT) solving is one of the most competitive research areas of theoretical computer science. The performance of state-of-the-art SAT solvers has been continuously improving in the last decades and has reached a level where SAT solvers can be employed to solve real world problems in fields such as hardware and software verification, automated planning and many others. One ...

The survey propagation (SP) algorithm has been shown to work well on large instances of the random 3-SAT problem near its phase transition. It was shown that SP estimates marginals over covers that represent clusters of solutions. The SP-y algorithm generalizes SP to work on the maximum satisfiability (Max-SAT) problem, but the cover interpretation of SP does not generalize to SP-y. In this pap...