TL;DR
This paper provides an elementary overview of Boolean satisfiability and the P=NP? problem, introducing visualization techniques for CNF formulae and discussing potential unknown results like counting solutions.
Contribution
It offers a pedagogical summary of SAT and P=NP?, including visualization schemes and exploration of formulae for counting solutions and unsatisfied clauses.
Findings
Introduction of a visualization scheme for CNF formulae
Discussion of formulae for counting solutions and unsatisfied clauses
Potential unknown results related to SAT enumeration
Abstract
The aim of this short note is mainly pedagogical. It summarizes some knowledge about Boolean satisfiability (SAT) and the P=NP? problem in an elementary mathematical language. A convenient scheme to visualize and manipulate CNF formulae is introduced. Also some results like the formulae for the number of unsatisfied clauses and the number of solutions might be unknown.
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Taxonomy
TopicsFormal Methods in Verification · Data Management and Algorithms · Advanced Graph Theory Research