#4812 ⟨a, b | ababaaab=aab⟩

Up:Monoids with two generators and one relation
Prev:#4811 ⟨a, b | ababaaab=aaa⟩
Next:#4813 ⟨a, b | ababaaab=aba⟩

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. ac ⇒ c2 [6]
2. a2b ⇒ cab [3]
3. (ab)2c2 ⇒ cbaba2 [7]
4. (ab)2a2 ⇒ c [2]
5. cbabc3 ⇒ c2 [9]
6. (ab)2cab ⇒ cb [4]
7. cbabc2ab ⇒ cab [8]
# ab:ababaaab=aab cab ababaa=c morph:6/1
ac=cc
aab=cab
ababcc=cbabaa
ababaa=c
cbabccc=cc
ababcab=cb
cbabccab=cab