![]() ![]() Know your Boolean logic and already know all about satisfiability and CNFĮxpressions, then feel free to skip ahead to next section. Something about mysterious sounding "CNF expressions". So far we mentioned that SAT is a decision problem, and Naming style, as far as I know, is mainly due to Garey and Johnson's classic P, which is the set of decision problems solvable in polynomial-time. Not a silly grammar mistake PRIMES is a set and the paper shows that it is in That the title of the paper that introduced the AKS primality test ( "PRIMES is ![]() ![]() ![]() To go on a bit of a tangent, this is also the reason given the binary representation of number n n n The set of all prime numbers (the decision problem in the latter is that of Inputs for which the answer is "yes", and that set is given a capitalized name.įor example, SAT is the set of all satisfiable CNF expressions, and PRIMES is Decision problems are often simply identified with the set of Means is that the answer to a particular instance of the problem is either SAT happens toįall under what are called decision problems in computer science. Introduction section below can be skipped if you already know the problemīefore we start with the definitions, you might be asking why SAT is written inĪll capitals if it is not an acronym. Sections marked with * are more theoretical and not required for The code is to be an introduction to SAT and SAT solvers. Of course, our implementation will not be anywhere close to moreĬomplicated SAT solvers implemented in C or C++, such as miniSAT. The end of this post, we will have a working SAT solver with a command-line Why it is of such importance from both a theoretical and practical perspective,Īnd how to approach solving it by developing a simple Python SAT solver. In this post, we will go into details of what it is all about, Its variants like 3-SAT in passing, especially in discussions of complexity and Chances are you have heard of it or one of ![]()
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