What are SAT solvers good for?

Boolean satisfiability and SAT solvers A SAT solver is an algorithm for establishing satisfiability. It takes the Boolean logic formula as input and returns SAT if it finds a combination of variables that can satisfy it or UNSAT if it can demonstrate that no such combination exists.

What does SAT stand for in SAT solver?

In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula.

What is model counting?

Propositional model counting or #SAT is the problem of computing the number of models for a given propositional formula, i.e., the number of distinct truth assignments to variables for which the formula evaluates to true. This problem is also referred to as the solution counting problem for SAT.

Is SAT in NP?

SAT is in NP because any assignment of Boolean values to Boolean variables that is claimed to satisfy the given expression can be verified in polynomial time by a deterministic Turing machine.

What is weighted model counting?

Weighted Model Counting The approach involves encoding of the probabilistic model usually a Bayesian network as a propositional knowledge base in conjunctive normal form(CNF) with weights associated with each model (assignment of variables) according to the network parameters.

Is sat in P?

SAT is in NP: It any problem is in NP, then given a ‘certificate’, which is a solution to the problem and an instance of the problem(a boolean formula f) we will be able to check (identify if the solution is correct or not) certificate in polynomial time.

What do you think about modern SAT solvers?

After spending ~1.5 years working with them, I have to say that modern SAT solvers are fast, neat and criminally underused by the industry. Boolean satisfiability problem (SAT) is the problem of deciding whether a formula in boolean logic is satisfiable.

How many variables does it take to solve a SAT problem?

Solving SAT problems is still in the NP complexity class, and if you randomly generate a non-trivial SAT instance with a few hundred variables, it will stop most solvers in their tracks. As a reminder, the Sudoku solver we built in the first post creates SAT instances with 729 variables and ~12k clauses.

What is the best SAT solver for C?

Using SAT solvers 1 DIMACS format. DIMACS is a line oriented format, consisting of 3 different basic types of lines. 2 Minisat’s C++ interface. MiniSat is a fairly simple and performant SAT solver that also provides a nice C++ interface and we maintain a modernised fork with CMake integration. 3 Conversion to CNF.

How do I pass a formula to a SAT solver?

Some examples: There are two ways to pass a formula to a SAT solver: by using a semi-standard file format known as DIMACS, or by using the SAT solver as a library.