#4639 ⟨a, b | aababaab=baa⟩

Up:Monoids with two generators and one relation
Prev:#4638 ⟨a, b | aababaab=abb⟩
Next:#4640 ⟨a, b | aababaab=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. (cb)2a ⇒ bac [7]
2. ca2 ⇒ a2cbc [6]
3. caba ⇒ a2bc [4]
4. cba2b ⇒ ba2 [3]
5. c2ab2a ⇒ a2cb2c [10]
6. cb2a2 ⇒ bacab [8]
7. a2ba ⇒ c [2]
8. ba3 ⇒ cbc [5]
9. bacab2a ⇒ cb2c [9]
# ab:aababaab=baa bc/a aaba=c morph:4/0
cbcba=bac
caa=aacbc
caba=aabc
cbaab=baa
ccabba=aacbbc
cbbaa=bacab
aaba=c
baaa=cbc
bacabba=cbbc