#12637 ⟨a, b | babb=ba, bbbb=b⟩

Up:Monoids with two generators and two relations
Prev:#12635 ⟨a, b | babb=ab, bbbb=b⟩
Next:#12671 ⟨a, b | aab=aaa, bbbbb=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. ca ⇒ c2 [9]
2. cb ⇒ c [8]
3. ba ⇒ c [3]
4. b3c ⇒ c [7]
5. b4 ⇒ b [2]
# ab:babb=ba,bbbb=b cab ba=c morph:2/1
ca=cc
cb=c
ba=c
bbbc=c
bbbb=b