type theory
C59135
concept
Type theory is a formal framework that classifies expressions by their types to ensure logical consistency and safety in mathematical proofs and programming languages.
All labels observed (4)
| Label | Occurrences |
|---|---|
| type theory canonical | 3 |
| dependent type theory | 1 |
| higher-order typed lambda calculus | 1 |
| research area in type theory | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: type theory
Generated description
Type theory is a formal framework that classifies expressions by their types to ensure logical consistency and safety in mathematical proofs and programming languages.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Martin-Löf type theory | — |
| homotopy type theory | research area in type theory |
| System F | — |
|
calculus of constructions
surface form:
Calculus of Constructions
|
— |