satisfiability problem
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satisfiability problem
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.
A Boolean 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 (by Cook).
["Introduction to Automata Theory, Languages, and Computation"
by Hopcroft and Ullman, pub. Addison-Wesley].
(1994-11-11)