#16161 ⟨a, b | aab=ab, abaa=aa⟩

Up:Monoids with two generators and two relations
Prev:#16160 ⟨a, b | aab=ab, aabb=bb⟩
Next:#16162 ⟨a, b | aab=ab, abaa=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 ⇒ a2 [3]
2. a2b ⇒ ab [1]
3. aba2 ⇒ a2 [2]
4. (ab)2 ⇒ ab [4]
# ab:aab=ab,abaa=aa ab
aaa=aa
aab=ab
abaa=aa
abab=ab