Entailment: Understanding Logical Necessity
Entailment defines the logical connection where true premises guarantee a true conclusion.…
Elimination Rule in Logical Inference
An elimination rule in logic simplifies formulas by removing connectives or quantifiers.…
Elimination of Quantifiers
A technique in mathematical logic to remove quantifiers from formulas, preserving logical…
Elementary Equivalence in Logic and Mathematics
Elementary equivalence signifies that two structures share all the same first-order sentences.…
Effectively Decidable Theory
An effectively decidable theory is a formal system where an algorithm can…
Dynamic Modal Logic
Dynamic modal logic explores necessary and possible connections between events. It extends…
Dual of a Truth-Table and Formulas
The dual of a truth-table involves swapping truth values. Connectives like conjunction…
Doxastic Modal Logic: The Logic of Belief
Doxastic modal logic explores the reasoning behind beliefs. It models how rational…
Double Turnstile Symbol (⊨) in Logic
The double turnstile (⊨) symbol signifies semantic entailment or logical consequence. It…
Double Negation Introduction
The principle of double negation introduction states that for any proposition P,…