Strong completeness in logic means that if a formula is true in all interpretations (semantically valid), it can be proven…
An object language is the system or language under examination. It's distinct from the metalanguage, which is used to discuss…
Negation consistency ensures a logical system is free from contradictions, meaning no statement and its negation can both be proven…
Negation completeness signifies a logical system's ability to prove either any given statement or its negation. This ensures that no…
A metatheorem is a theorem that describes properties of a formal system, such as consistency or completeness. It operates on…
An intermediate logic derived from propositional logic by incorporating all instances of the weak excluded middle axiom. It is also…
FDE is a logical system that allows propositions to be both true and false, or neither, rejecting the law of…