#5411 ⟨a, b | abbbbba=abab⟩

Up:Monoids with two generators and one relation
Prev:#5410 ⟨a, b | abbbbba=aabb⟩
Next:#5412 ⟨a, b | abbbbba=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 [4]
2. cbab ⇒ ab5c [6]
3. cb4a ⇒ abc [7]
4. cb5a ⇒ ab5c [5]
5. (ab)2 ⇒ c [2]
6. ab5a ⇒ c [3]
# ab:abbbbba=abab bc/a abab=c magic:0
cab=abc
cbab=abbbbbc
cbbbba=abc
cbbbbba=abbbbbc
abab=c
abbbbba=c