#20318 ⟨a, b | aba=b, bbbb=bab⟩

Up:Monoids with two generators and two relations
Prev:#20317 ⟨a, b | aba=b, bbbb=abb⟩
Next:#20448 ⟨a, b | ba=ab, aaaaaaa=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. b6 ⇒ b2 [6]
2. ab2 ⇒ b4 [7]
3. bab ⇒ b4 [2]
4. b2a ⇒ b4 [8]
5. aba ⇒ b [1]
# ab:aba=b,bbbb=bab b/a
bbbbbb=bb
abb=bbbb
bab=bbbb
bba=bbbb
aba=b