Induction on Well-Formed Formulas
A formal logic and mathematics proof technique. It verifies properties for basic…
Incompleteness in Logic and Mathematics
The property of a logical or mathematical system where not all true…
Gödel Sentence
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems…
Truth-Value Glut
A truth-value glut arises in formal semantics when a theory assigns multiple…
Game-Theoretic Semantics
Game-theoretic semantics interprets linguistic meaning via games between verifier and falsifier. It…
Understanding Formulas in Formal Languages
A formula is a true or false expression in a formal language.…
Formation Rules in Formal Languages
Formation rules define the syntax of a formal language, dictating how basic…
Formal Semantics
Formal semantics explores the connection between formal systems, particularly in logic and…
Formal Proof Explained
A formal proof is a rigorous demonstration of truth within a formal…