Exclusion Negation in Three-Valued Logic
Exclusion negation in three-valued logic strictly denies the truth of a proposition.…
Effectively Decidable Theory
An effectively decidable theory is a formal system where an algorithm can…
Domain of Discourse: Defining the Scope of Logic
The domain of discourse is the set of all objects under consideration…
Diagonalization Lemma
A crucial lemma in Gödel's incompleteness theorems. It states that for any…
Deviant Logic: Exploring Alternative Systems
Deviant logic refers to logical systems that differ from classical logic. These…
Deductively Equivalent Theories
Two theories are deductively equivalent if they can prove the exact same…
Cut Elimination
A fundamental procedure in proof theory that systematically removes 'cuts' from a…
Cut in Proof Theory
A cut rule in proof theory introduces an intermediate conclusion within a…
Understanding Contradictory Statements
Contradictory statements cannot both be true or both be false. They represent…
Completeness in Logic
Completeness in logic refers to a system's ability to derive every logically…