higher-order logic

Variable Assignment in Formal Logic

A variable assignment, sometimes called a variable assignment function, is a crucial interpretation in formal languages for first-order or higher-order…

4 days ago

Kreisel-Putnam Logic

A logic designed for higher-order quantification and modalities. It emerged from discussions on the foundations of mathematics by Kreisel and…

4 days ago

Higher-Order Variables in Logic

A higher-order variable represents functions, predicates, or relations, distinguishing it from variables that denote individual objects. This concept is fundamental…

4 days ago

Higher-Order Quantifiers

A higher-order quantifier binds variables that range over properties, relations, or functions, rather than individuals. This allows for more expressive…

4 days ago

Higher-Order Logic

Higher-order logic extends first-order logic by enabling quantification over predicates and other higher-order entities. It offers greater expressive power for…

4 days ago