Satisfiability Problems
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Satisfiability Problems: Boolean Satisfiability Problem

Satisfiability Problems: Boolean Satisfiability Problem


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About the Book

Chapters: Boolean Satisfiability Problem. Source: Wikipedia. Pages: 51. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Satisfiability is the problem of determining if the variables of a given Boolean formula can be assigned in such a way as to make the formula evaluate to TRUE. Equally important is to determine whether no such assignments exist, which would imply that the function expressed by the formula is identically FALSE for all possible variable assignments. In this latter case, we would say that the function is unsatisfiable; otherwise it is satisfiable. To emphasize the binary nature of this problem, it is frequently referred to as Boolean or propositional satisfiability. The shorthand "SAT" is also commonly used to denote it, with the implicit understanding that the function and its variables are all binary-valued. In complexity theory, the satisfiability problem (SAT) is a decision problem, whose instance is a Boolean expression written using only AND, OR, NOT, variables, and parentheses. The question is: given the expression, is there some assignment of TRUE and FALSE values to the variables that will make the entire expression true? A formula of propositional logic is said to be satisfiable if logical values can be assigned to its variables in a way that makes the formula true. The boolean satisfiability problem is NP-complete. The propositional satisfiability problem (PSAT), which decides whether a given propositional formula is satisfiable, is of central importance in various areas of computer science, including theoretical computer science, algorithmics, artificial intelligence, hardware design, electronic design automation, and verification. A literal is either a variable or the negation of a variable (the negation of an expression can be reduced to negated variables by De M...More: http: //booksllc.net/?id=471


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Product Details
  • ISBN-13: 9781156595923
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Boolean Satisfiability Problem
  • Width: 229 mm
  • ISBN-10: 1156595924
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Spine Width: 3 mm
  • Weight: 91 gr


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