Linked from
The 16 pages that link to Boolean satisfiability problem, each with the reason it gives.
NP-completenessBroader topic: Its NP-completeness is the starting point for many hardness proofs.
P versus NP problemBroader topic: Its efficient solvability would resolve the P versus NP question.
SatisfiabilityBroader topic: SAT is the computational form of propositional satisfiability.
NP-hardnessBroader topic: Its NP-completeness makes it a common source problem in hardness proofs.
Leonid LevinBroader topic: Its completeness became a central consequence of Levin’s reductions.
Stephen CookBroader topic: This is the specific problem Cook proved NP-complete.