#22850 ⟨a, b | aaa=1, babbb=bba⟩

Up:Monoids with two generators and two relations
Prev:#22849 ⟨a, b | aaa=1, babbb=bab⟩
Next:#22851 ⟨a, b | aaa=1, babbb=bbb⟩

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. b28 ⇒ b2 [6]
2. b2a ⇒ bab3 [2]
3. a3 ⇒ 1 [1]
4. (ba)3b2 ⇒ b15 [7]
# ab:aaa=1,babbb=bba b/a
bbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb
bba=babbb
aaa=1
babababb=bbbbbbbbbbbbbbb