#5359 ⟨a, b | abababa=abab⟩

Up:Monoids with two generators and one relation
Prev:#5358 ⟨a, b | abababa=aabb⟩
Next:#5360 ⟨a, b | abababa=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. cb ⇒ c2 [8]
2. cab ⇒ abc [5]
3. c2a ⇒ abc [7]
4. (ab)2 ⇒ c [2]
5. abca ⇒ c [6]
# ab:abababa=abab acb abab=c magic:0
cb=cc
cab=abc
cca=abc
abab=c
abca=c