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satisfiability problem

   Also found in: Wikipedia 0.01 sec.
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].


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To demonstrate the feasibility of parasitic computing, Barabasi and his collaborators chose a mathematical question known as the satisfiability problem (SN: 5/6/00, p.
Sneaky calculations: how to trick other people's computers into ... by Peterson, Ivars / Science News
Getting this so-called spin glass to settle into a lowest-energy state, in which all the particles comfortably coexist without further flipping, is equivalent to solving a satisfiability problem.
Changes of Mathematical State by PETERSON, IVARS / Science News
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