#2259 ⟨a, b | aabbaab=bba⟩

Up:Monoids with two generators and one relation
Prev:#2258 ⟨a, b | aabbaab=bab⟩
Next:#2260 ⟨a, b | aabbaab=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. a2cab ⇒ c [4]
3. a(ac)2 ⇒ cba [6]
4. b2c ⇒ (ca)2b [5]
# ab:aabbaab=bba reversed:a/bc bba=c magic:0
bba=c
aacab=c
aacac=cba
bbc=cacab