#19292 ⟨a, b | aaa=a, babab=ab

Quick links

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1
1
#RuleProof
1. a3 ⇒ a [1]
2. b2ab ⇒ a2b [9]
3. (ab)2 ⇒ ba2b [3]
4. b2a2b ⇒ ab [8]
5. aba2b ⇒ bab [7]
# ab:aaa=a,babab=ab ba
aaa=a
bbab=aab
abab=baab
bbaab=ab
abaab=bab