into logical symbols and non-logical symbols (sometimes also called logical and non-logical constants). The non-logical symbols of a language of first-order...

symbols Logic alphabet, a suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical...

In logic, a logical constant or constant symbol of a language L {\displaystyle {\mathcal {L}}} is a symbol that has the same semantic value under every...

and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables. Rather...

the extension { ( a ) } {\displaystyle \{(\mathrm {a} )\}} to the non-logical symbol T {\displaystyle T} , and does not make a claim about whether T {\displaystyle...

the relation denoted by R {\displaystyle R} . Since predicates are non-logical symbols, they can denote different relations depending on the interpretation...

unambiguous symbols. This allows logical statements to not be understood in an ambiguous way. These symbols are called logical connectives, logical operators...

then there is a formula ρ, called an interpolant, such that every non-logical symbol in ρ occurs both in φ and ψ, φ implies ρ, and ρ implies ψ. The theorem...

especially mathematical logic, a signature lists and describes the non-logical symbols of a formal language. In universal algebra, a signature lists the...

the symbol ¬ {\displaystyle \neg } signifies logical negation, ∨ {\displaystyle \lor } signifies OR, and ∧ {\displaystyle \land } signifies AND. Non-disjunction...

rarely used, see List of logic symbols. ¬    (not sign) Denotes logical negation, and is read as "not". If E is a logical predicate, ¬ E {\displaystyle...

logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as...

mathematical, logical, and set notation. The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary...

formal fallacy is a pattern of reasoning rendered invalid by a flaw in its logical structure. Propositional logic, for example, is concerned with the meanings...

Non-logical axioms may also be called "postulates", "assumptions" or "proper axioms". In most cases, a non-logical axiom is simply a formal logical expression...

Logical consequence (also entailment or logical implication) is a fundamental concept in logic which describes the relationship between statements that...

often not clear how to distinguish formal from non-formal features, i.e. logical from non-logical symbols. This distinction lies at the very heart of the...

Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth...

if it is ℵα-saturated. The countable random graph, with the only non-logical symbol being the edge existence relation, is also saturated, because any...

disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs...

A logical symbol is a fundamental concept in logic, tokens of which may be marks or a configuration of marks which form a particular pattern.[citation...

{\displaystyle \mathbb {N} .} The non-logical symbols for the axioms consist of a constant symbol 0 and a unary function symbol S. The first axiom states that...

other non-logical symbols, and a formula is said to be satisfiable if there is some interpretation which makes it true. While this allows non-standard...

used. However, these symbols are also used for material equivalence, so proper interpretation would depend on the context. Logical equivalence is different...

mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity...

logic, the logical form of a statement is a precisely specified semantic version of that statement in a formal system. Informally, the logical form attempts...

called metatheorems. A logical system is a deductive system (most commonly first order logic) together with additional non-logical axioms. According to...

In mathematical logic and computer science the symbol ⊢ ( ⊢ {\displaystyle \vdash } ) has taken the name turnstile because of its resemblance to a typical...

predicate variable. It is usually denoted by the turned A (∀) logical operator symbol, which, when used together with a predicate variable, is called...

rendering support, you may see question marks, boxes, or other symbols. An arrow is a graphical symbol, such as ←, ↑ or →, or a pictogram, used to point or indicate...