#4513 ⟨a, b | aaababaa=bba⟩

Up:Monoids with two generators and one relation
Prev:#4512 ⟨a, b | aaababaa=bab⟩
Next:#4514 ⟨a, b | aaababaa=bbb⟩

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. b2a ⇒ c [2]
2. a3baba2 ⇒ c [3]
3. b2c ⇒ ca(ab)2a2 [6]
4. a3babc ⇒ c(ab)2a2 [4]
5. a3(ba)2c ⇒ ca(ab)2a2 [5]
# ab:aaababaa=bba a/cb bba=c magic:0
bba=c
aaababaa=c
bbc=caababaa
aaababc=cababaa
aaababac=caababaa