#4659 ⟨a, b | aababbaa=baa⟩

Up:Monoids with two generators and one relation
Prev:#4658 ⟨a, b | aababbaa=abb⟩
Next:#4660 ⟨a, b | aababbaa=bab⟩

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. bc ⇒ c2 [5]
2. ba2 ⇒ ca2 [3]
3. bac ⇒ cac [6]
4. a2bab2 ⇒ c [2]
5. a2cac3 ⇒ c2 [7]
6. a2cac2a2 ⇒ ca2 [9]
7. a2(cac)2 ⇒ cac [8]
# ab:aababbaa=baa acb aababb=c morph:6/0
bc=cc
baa=caa
bac=cac
aababb=c
aacaccc=cc
aacaccaa=caa
aacaccac=cac