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The Boolean satisfiability problem (SAT) is, given a formula, to check whether it is satisfiable. This decision problem is of central importance in many areas of computer science, including theoretical computer science, complexity theory, [3][4] algorithmics, cryptography [5][6] and artificial intelligence. [7][additional citation (s) needed]
Canonical normal form. In Boolean algebra, any Boolean function can be expressed in the canonical disjunctive normal form (CDNF), [1] minterm canonical form, or Sum of Products (SoP or SOP) as a disjunction (OR) of minterms. The De Morgan dual is the canonical conjunctive normal form (CCNF), maxterm canonical form, or Product of Sums (PoS or ...
The major difference is that bitwise operations operate on the individual bits of a binary numeral, whereas conditional operators operate on logical operations. Additionally, expressions before and after a bitwise operator are always evaluated. If expression 1 is true, expressions 2 and 3 are NOT checked. This checks expressions 2 and 3, even ...
The Berry paradox is a self-referential paradox arising from an expression like "The smallest positive integer not definable in under sixty letters" (a phrase with fifty-seven letters). Bertrand Russell, the first to discuss the paradox in print, attributed it to G. G. Berry (1867–1928), [1] a junior librarian at Oxford 's Bodleian Library.
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such ...
Logical connectives. In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {-1,1}). [1][2] Alternative names are switching function, used especially in older computer science literature, [3][4] and truth function (or logical function), used in logic.
The basic syntax (and use) of each function is as follows: { {#if: test string | value if true | value if false }} (selects one of two values based on whether the test string is true or false) { {#ifeq: string 1 | string 2 | value if equal | value if unequal }} (selects one of two values based on whether the two strings are equal—a numerical ...
Relational operator. In computer science, a relational operator is a programming language construct or operator that tests or defines some kind of relation between two entities. These include numerical equality (e.g., 5 = 5) and inequalities (e.g., 4 ≥ 3). In programming languages that include a distinct boolean data type in their type system ...