#4616 ⟨a, b | aabaabaa=abb⟩

Up:Monoids with two generators and one relation
Prev:#4615 ⟨a, b | aabaabaa=aba⟩
Next:#4617 ⟨a, b | aabaabaa=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. ab2 ⇒ c [2]
2. a2(ba2)2 ⇒ c [3]
3. cba2 ⇒ a2bc [4]
4. cb2 ⇒ (a2b)2ac [6]
5. ca(ba2)2 ⇒ (a2b)2ac [5]
# ab:aabaabaa=abb a/bc abb=c magic:0
abb=c
aabaabaa=c
cbaa=aabc
cbb=aabaabac
cabaabaa=aabaabac