Pure predicate logic, also known as pure first-order logic, is a formal system for reasoning about propositions and their relationships.…
Pure first-order logic is a foundational system in logic, characterized by its exclusion of function symbols and identity. It relies…
A standardized structure for first-order logic where all quantifiers (universal and existential) are moved to the beginning of the formula,…
An extension of first-order logic that incorporates predicates with multiple arguments. This allows for the representation of complex relationships between…
Monadic predicate logic, a subset of first-order logic, focuses on predicates with a single argument. It's used to express properties…
Monadic first-order logic simplifies first-order logic by using only predicates with a single argument. This focuses on the properties of…
The matrix is the quantifier-free part of a formula after it's converted to prenex normal form. It's the core propositional…
Many-sorted logic enhances first-order logic by introducing multiple domains. Variables and quantifiers are typed, specifying the sort of objects they…
The logic of attributes extends first-order logic by incorporating attribute-value pairs. It's crucial for representing and reasoning about objects with…
Independence-Friendly (IF) logic extends first-order logic, enabling richer expressions of quantifier scope and dependence. It's particularly useful in game-theoretical semantics…