Natural Deduction
Natural deduction is a system of logical inference that aims to emulate…
Logic of Relations
A specialized field of logic focusing on the properties, composition, and inversion…
Logic of Attributes
The logic of attributes extends first-order logic by incorporating attribute-value pairs. It's…
Limitation Result
A limitation result defines the boundaries of what can be achieved in…
Understanding Language: A Foundation of Communication
Language is a fundamental human communication system for cooperation, expressing ideas, and…
Lambek Calculus
A formal system for natural language syntax modeling, rooted in categorial grammar.…
Lambda Calculus
A formal system for computation based on function abstraction and application. It…
Kreisel-Putnam Logic
A logic designed for higher-order quantification and modalities. It emerged from discussions…
Kleene Connectives in Three-Valued Logic
Kleene connectives extend classical logic with a third truth value (undefined/unknown). They…
Inconsistent Arithmetic: When Logic Fails
Inconsistent arithmetic refers to a mathematical system where contradictions can be proven,…