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In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics .
The philosophical position that there is only one correct logic or logical system that accurately captures the principles of valid reasoning. [177] logical operator A symbol or function in logic that applies to one or more propositions, producing another proposition that expresses a logical operation such as negation, conjunction, or disjunction.
Logical connectives can be used to link zero or more statements, so one can speak about n-ary logical connectives. The boolean constants True and False can be thought of as zero-ary operators. Negation is a unary connective, and so on.
Therefore (Mathematical symbol for "therefore" is ), if it rains today, we will go on a canoe trip tomorrow". To make use of the rules of inference in the above table we let be the proposition "If it rains today", be "We will not go on a canoe today" and let be "We will go on a canoe trip tomorrow". Then this argument is of the form:
a set of operator symbols, called connectives, [18] [1] [50] logical connectives, [1] logical operators, [1] truth-functional connectives, [1] truth-functors, [37] or propositional connectives. [ 2 ] A well-formed formula is any atomic formula, or any formula that can be built up from atomic formulas by means of operator symbols according to ...
The ternary operator (,,) = is one such operator which is actually a unary operator applied to one input, and ignoring the other two inputs. "Not" is a unary operator, it takes a single term (¬P). The rest are binary operators, taking two terms to make a compound statement (P ∧ Q, P ∨ Q, P → Q, P ↔ Q).
"Logical" refers to the Boolean logical operations of disjunction, conjunction, and negation between two sequences of bits, in which each bit in one sequence is simply compared to its counterpart in the other sequence. Programmers therefore have the option of working in and applying the rules of either numeric algebra or Boolean algebra as needed.
In computer science, a Boolean expression (also known as logical expression) is an expression used in programming languages that produces a Boolean value when evaluated. A Boolean value is either true or false .