satisfiability problem
satisfiability problem
Given a Boolean expression E, decide if there is someassignment to the variables in E such that E is true.
A Boolean expression is composed of Boolean variables,(logical) negation (NOT), (logical) conjunction (AND) andparentheses for grouping. The satisfiability problem was thefirst problem to be proved to be NP-complete (by Cook).
["Introduction to Automata Theory, Languages, and Computation"by Hopcroft and Ullman, pub. Addison-Wesley].