The property of a logical or mathematical system where not all true statements can be proven within the system's own…
The inclusive OR, a fundamental logical operation, evaluates to true if at least one of its operands is true. It's…
Inclusive first-order logic is a flexible variant that permits empty domains, unlike standard first-order logic which mandates at least one…
Inclusive disjunction, also known as logical OR, is a fundamental operation in logic and computer science. It yields true if…
An implicit definition defines an entity by its relationships to other concepts rather than by direct enumeration of its properties.…
The identity function is a fundamental concept in mathematics and computer science. It's a function that takes an input and…
An idempotent operation can be applied multiple times without changing the result beyond the initial application. This property is crucial…
Hybrid logic enhances modal logic by allowing direct reference to specific worlds within models. This increases expressiveness, enabling more precise…
A higher-order variable represents functions, predicates, or relations, distinguishing it from variables that denote individual objects. This concept is fundamental…
A higher-order quantifier binds variables that range over properties, relations, or functions, rather than individuals. This allows for more expressive…