Ternary semantics extend possible worlds semantics using a ternary relation, often in relevant logics. This approach offers a richer framework…
Strong completeness in logic means that if a formula is true in all interpretations (semantically valid), it can be proven…
A fundamental principle in formal logic that permits substituting logically equivalent expressions within proofs. This ensures the argument's validity is…
Pure predicate logic, also known as pure first-order logic, is a formal system for reasoning about propositions and their relationships.…
A theory is Post consistent if it contains at least one unprovable statement. If all statements are provable, the theory…
An extension of first-order logic that incorporates predicates with multiple arguments. This allows for the representation of complex relationships between…
An open formula in a formal language is an expression with unbound variables. Its truth value depends on the specific…
Objectual quantifiers are a type of quantifier in formal logic that specifically refer to objects within the domain of discourse,…
A monadic relation, also known as a unary relation, describes a property or characteristic of a single entity. It's a…
Henkin semantics offers a flexible alternative to standard first-order semantics, allowing quantifiers to range over restricted domains within models. This…