📜 Theorem, law or theory

Kruskal's tree theorem

Teorema del árbol de Kruskal

Date
1960 · confidence low
Place
United States
Credited to
Joseph Kruskal
Field
Knowledge & symbols

What was discovered

Theorem stating that the set of finite trees labeled over a well-quasi-ordered set is itself well-quasi-ordered under homeomorphic embedding; it gives rise to the fast-growing TREE function.

What it led to

  • Results on the limits of axiomatic systems (proof theory)
  • TREE(3) as an example of an extraordinarily fast-growing number
  • Applications in computability theory
  • Studies of well-founded orders in combinatorics

Links

Sources✓ verified 2026-09-28