#3968 ⟨a, b | aaabaabaa=ab⟩

Up:Monoids with two generators and one relation
Prev:#3967 ⟨a, b | aaabaabaa=aa⟩
Next:#3969 ⟨a, b | aaabaabaa=ba⟩

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. c2aca2 ⇒ a2cac2 [6]
2. a(ac)2a2 ⇒ c [4]
3. (ca)3a ⇒ a(ac)3 [7]
4. ab ⇒ c [2]
5. cb ⇒ a(ac)3 [5]
# ab:aaabaabaa=ab ac/b ab=c magic:0
ccacaa=aacacc
aacacaa=c
cacacaa=aacacac
ab=c
cb=aacacac