Ternary Semantics in Logic
Ternary semantics extend possible worlds semantics using a ternary relation, often in…
Strong Completeness in Logic
Strong completeness in logic means that if a formula is true in…
Rule of Replacement in Formal Logic
A fundamental principle in formal logic that permits substituting logically equivalent expressions…
Pure Predicate Logic
Pure predicate logic, also known as pure first-order logic, is a formal…
Post Consistency in Formal Theories
A theory is Post consistent if it contains at least one unprovable…
Polyadic First-Order Logic
An extension of first-order logic that incorporates predicates with multiple arguments. This…
Open Formula in Formal Languages
An open formula in a formal language is an expression with unbound…
Objectual Quantifiers in Formal Logic
Objectual quantifiers are a type of quantifier in formal logic that specifically…
Monadic Relation: Understanding Unary Relations
A monadic relation, also known as a unary relation, describes a property…
Henkin Semantics
Henkin semantics offers a flexible alternative to standard first-order semantics, allowing quantifiers…