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Resolution calculi that include subsumption can model rule one by subsumption and rule two by a unit resolution step, followed by subsumption. Unit propagation, applied repeatedly as new unit clauses are generated, is a complete satisfiability algorithm for sets of propositional Horn clauses ; it also generates a minimal model for the set if ...
Boolean Logic: 1 (True) if both A and B = 1, 0 (False) otherwise U+2227 ∧ LOGICAL AND: Nor: A⍱B: Boolean Logic: 1 if both A and B are 0, otherwise 0. Alt: ~∨ = not Or U+2371 ⍱ APL FUNCTIONAL SYMBOL DOWN CARET TILDE: Nand: A⍲B: Boolean Logic: 0 if both A and B are 1, otherwise 1. Alt: ~∧ = not And
A literal is either a variable (in which case it is called a positive literal) or the negation of a variable (called a negative literal). A clause is a disjunction of literals (or a single literal). A clause is called a Horn clause if it contains at most one positive literal.
In computer science, a literal is a textual representation (notation) of a value as it is written in source code. [1] [2] Almost all programming languages have notations for atomic values such as integers, floating-point numbers, and strings, and usually for Booleans and characters; some also have notations for elements of enumerated types and compound values such as arrays, records, and objects.
A Boolean type, typically denoted bool or boolean, is typically a logical type that can have either the value true or the value false. Although only one bit is necessary to accommodate the value set true and false, programming languages typically implement Boolean types as one or more bytes.
In computer science, a Boolean expression is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false.A Boolean expression may be composed of a combination of the Boolean constants True/False or Yes/No, Boolean-typed variables, Boolean-valued operators, and Boolean-valued functions.
Two types of literal expression are usually offered: one with interpolation enabled, the other without. Non-interpolated strings may also escape sequences, in which case they are termed a raw string, though in other cases this is separate, yielding three classes of raw string, non-interpolated (but escaped) string, interpolated (and escaped) string.
In mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or its negation. [1] [2] The definition mostly appears in proof theory (of classical logic), e.g. in conjunctive normal form and the method of resolution. Literals can be divided into two types: [2] A positive literal is just an atom (e.g., ).