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A variant of the 3-satisfiability problem is the one-in-three 3-SAT (also known variously as 1-in-3-SAT and exactly-1 3-SAT). Given a conjunctive normal form with three literals per clause, the problem is to determine whether there exists a truth assignment to the variables so that each clause has exactly one TRUE literal (and thus exactly two ...
The partial Max-SAT problem is the problem where some clauses necessarily must be satisfied (hard clauses) and the sum total of weights of the rest of the clauses (soft clauses) are to be maximized or minimized, depending on the problem. Partial Max-SAT represents an intermediary between Max-SAT (all clauses are soft) and SAT (all clauses are ...
In computer science and formal methods, a SAT solver is a computer program which aims to solve the Boolean satisfiability problem (SAT). On input a formula over Boolean variables, such as "(x or y) and (x or not y)", a SAT solver outputs whether the formula is satisfiable, meaning that there are possible values of x and y which make the formula true, or unsatisfiable, meaning that there are no ...
A blue book exam is a type of test administered at many post-secondary schools in the United States. Blue book exams typically include one or more essays or short-answer questions. Sometimes the instructor will provide students with a list of possible essay topics prior to the test itself and will then choose one or let the student choose from ...
Bluebook is a secure testing application for Windows, MacOS, iPadOS, and ChromeOS. [41] Bluebook is used to take digital College Board exams, such as the SAT, PSAT, and certain AP exams. [42] All SAT and PSATs have transitioned to digital only in spring 2024. [29] [30] Some AP exams are digital only while others are hybrid or paper only ...
Unlike 3SAT, some variants of NAE3SAT in which graphs representing the structure of variables and clauses are planar graphs can be solved in polynomial time.In particular this is true when there exists a planar graph with one vertex per variable, one vertex per clause, an edge for each variable–clause incidence, and a cycle of edges connecting all the variable vertices.
For every R, add clauses representing f R (x i1,...,x iq) using 2 q SAT clauses. Clauses of length q are converted to length 3 by adding new (auxiliary) variables e.g. x 2 ∨ x 10 ∨ x 11 ∨ x 12 = ( x 2 ∨ x 10 ∨ y R) ∧ ( y R ∨ x 11 ∨ x 12). This requires a maximum of q2 q 3-SAT clauses. If z ∈ L then there is a proof π such ...
A 12-sheet Blue book. An examination book, or exam book, or Blue book is a notebook used by students of many post-secondary schools in the United States to write essays and answer multiple short-answer questions when their assessment tests are administered. The books commonly have blue cover and are titled "Blue book", although books called ...