#5370 ⟨a, b | ababbba=abab⟩

Up:Monoids with two generators and one relation
Prev:#5369 ⟨a, b | ababbba=abaa⟩
Next:#5371 ⟨a, b | ababbba=abba⟩

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. cab ⇒ abc [5]
2. (ab)2 ⇒ c [2]
3. cb2a ⇒ c [4]
4. cbab ⇒ cb2c [6]
# ab:ababbba=abab bac abab=c magic:0
cab=abc
abab=c
cbba=c
cbab=cbbc