result in proof theory
C26889
concept
In proof theory, a result is a formally derived conclusion or theorem obtained from a given set of axioms and inference rules within a logical system.
All labels observed (3)
| Label | Occurrences |
|---|---|
| result in proof theory canonical | 2 |
| consistency proof | 1 |
| theorem in proof 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: result in proof theory
Generated description
In proof theory, a result is a formally derived conclusion or theorem obtained from a given set of axioms and inference rules within a logical system.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Herbrand's theorem | — |
| Gentzen’s consistency proof for arithmetic | — |
| cut-elimination theorem | theorem in proof theory |