#4646 ⟨a, b | aabababa=abb⟩

Up:Monoids with two generators and one relation
Prev:#4645 ⟨a, b | aabababa=aba⟩
Next:#4647 ⟨a, b | aabababa=baa⟩

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. ab2 ⇒ c [2]
2. a2(ba)3 ⇒ c [3]
3. ca(ba)3 ⇒ cb2 [5]
4. a(ab)3c ⇒ cb2 [8]
5. cb4 ⇒ c(ab)3c [7]
6. cb(ba)4 ⇒ c(ab)3c [6]
7. cb2(ab)3c ⇒ c(ab)3cb2 [9]
# ab:aabababa=abb a/cb abb=c magic:0
abb=c
aabababa=c
cabababa=cbb
aabababc=cbb
cbbbb=cabababc
cbbabababa=cabababc
cbbabababc=cabababcbb