#16325 ⟨a, b | aab=bb, bbab=aa⟩

Up:Monoids with two generators and two relations
Prev:#16324 ⟨a, b | aab=bb, bbaa=bb⟩
Next:#16328 ⟨a, b | aab=bb, bbab=bb⟩

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. a7 ⇒ a2 [7]
2. ba2 ⇒ a4 [5]
3. b2 ⇒ a2b [1]
4. a(ab)2 ⇒ a2 [2]
# ab:aab=bb,bbab=aa a/b
aaaaaaa=aa
baa=aaaa
bb=aab
aabab=aa