satisfiability problem definition
A problem used as an example in complexity theory
. It can be stated thus:
Given a Boolean expression E, decide if there is some assignment to the variables in E such that E is true.
expression is composed of Boolean variables, (logical) negation (NOT), (logical) conjunction
(AND) and parentheses for grouping. The satisfiability problem was the first problem to be proved to be NP-complete
["Introduction to Automata Theory, Languages, and Computation" by Hopcroft and Ullman, pub. Addison-Wesley].