type_theory
Type theory
- Snippet from Wikipedia: Type theory
In mathematics and theoretical computer science, a type theory is the formal presentation of a specific type system. Type theory is the academic study of type systems.
Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theories that have been proposed as foundations are:
- Typed λ-calculus of Alonzo Church
- Intuitionistic type theory of Per Martin-Löf
Most computerized proof-writing systems use a type theory for their foundation. A common one is Thierry Coquand's Calculus of Inductive Constructions.
type_theory.txt · Last modified: 2024/04/28 03:24 by 127.0.0.1