#10846 ⟨a, b | aaba=baa, bbbb=1⟩

Up:Monoids with two generators and two relations
Prev:#10833 ⟨a, b | aaba=abb, bbbb=1⟩
Next:#10859 ⟨a, b | aaba=bab, bbbb=1⟩

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. a18 ⇒ a3 [4]
2. ba2 ⇒ a2ba [1]
3. b4 ⇒ 1 [2]
4. a2(ba)4 ⇒ a2 [3]
# ab:aaba=baa,bbbb=1 reversed:a/b
aaaaaaaaaaaaaaaaaa=aaa
baa=aaba
bbbb=1
aababababa=aa