The logic of attributes extends first-order logic by incorporating attribute-value pairs. It's crucial for representing and reasoning about objects with…
Löb's theorem in mathematical logic states that if a system can prove that a statement implies its own provability, then…
Löb's paradox, a puzzle in modal logic, questions the formalization of provability within a system. It leads to counterintuitive results…
A literal is a fundamental building block in propositional logic, representing either a basic proposition or its direct negation. It…
Linear logic treats logical operations as resource-consuming, unlike classical logic's reusable assumptions. It's a subfield of logic focusing on resource…
A limitation result defines the boundaries of what can be achieved in a logical or mathematical system. It often signifies…
A liar sentence asserts its own falsity, like 'This sentence is false.' It forms the core of the liar paradox,…
The liar paradox is a self-referential statement that asserts its own falsity. If true, it must be false; if false,…
A lemma is a proven proposition used as a stepping stone to prove larger theorems. It's a foundational tool in…
A cornerstone of classical logic, the law of non-contradiction asserts that a statement and its negation cannot both be true…