well-founded ordering
C42773
concept
A well-founded ordering is a strict partial order with no infinite descending chains, ensuring every nonempty subset has a minimal element.
All labels observed (2)
| Label | Occurrences |
|---|---|
| ordering of the natural numbers | 1 |
| well-founded ordering canonical | 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: well-founded ordering
Generated description
A well-founded ordering is a strict partial order with no infinite descending chains, ensuring every nonempty subset has a minimal element.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Knuth–Bendix order | — |
| Sharkovsky ordering | ordering of the natural numbers |