#4497 ⟨a, b | aaabaaba=bba⟩

Up:Monoids with two generators and one relation
Prev:#4496 ⟨a, b | aaabaaba=bab⟩
Next:#4498 ⟨a, b | aaabaaba=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. a(a2b)2a ⇒ c [3]
3. b2c ⇒ c(a2b)2a [5]
4. a(a2b)2c ⇒ c(a2b)2a [4]
# ab:aaabaaba=bba a/cb bba=c magic:0
bba=c
aaabaaba=c
bbc=caabaaba
aaabaabc=caabaaba