Logical equivalence describes the relationship between statements that hold true under precisely the same conditions. This allows for their seamless…
An intermediate logic derived from propositional logic by incorporating all instances of the weak excluded middle axiom. It is also…
Löb's theorem in mathematical logic states that if a system can prove that a statement implies its own provability, then…
A linear ordering arranges elements sequentially, ensuring each can be unambiguously compared. This fundamental concept in mathematics and computer science…
A linear order, also known as a total order, is a fundamental concept in mathematics. It's a way to arrange…
Linear logic treats logical operations as resource-consuming, unlike classical logic's reusable assumptions. It's a subfield of logic focusing on resource…
A lemma is a proven proposition used as a stepping stone to prove larger theorems. It's a foundational tool in…
A logic designed for higher-order quantification and modalities. It emerged from discussions on the foundations of mathematics by Kreisel and…
An isomorphism is a bijective correspondence between two structures. It confirms they share the same underlying form by preserving operations…
Irreflexivity defines a relation where no element is related to itself. This fundamental property is crucial in various mathematical and…