#4806 ⟨a, b | abaabbba=abb⟩

Up:Monoids with two generators and one relation
Prev:#4805 ⟨a, b | abaabbba=aba⟩
Next:#4807 ⟨a, b | abaabbba=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. abacba ⇒ c [4]
3. cb2 ⇒ abacbc [5]
4. (cba)2 ⇒ abacbc [6]
5. (aba)2cbc ⇒ c2ba [7]
6. cba2bacbc ⇒ abacbc2ba [8]
# ab:abaabbba=abb ac/b abb=c magic:0
abb=c
abacba=c
cbb=abacbc
cbacba=abacbc
abaabacbc=ccba
cbaabacbc=abacbccba