#5299 ⟨a, b | abaaaba=aaba⟩

Up:Monoids with two generators and one relation
Prev:#5298 ⟨a, b | abaaaba=aaab⟩
Next:#5300 ⟨a, b | abaaaba=aabb⟩

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. cbc2 ⇒ caba [7]
3. a2bc ⇒ caba [5]
4. a2ba ⇒ c [2]
5. abc2 ⇒ c [8]
# ab:abaaaba=aaba cab aaba=c magic:0
ac=cc
cbcc=caba
aabc=caba
aaba=c
abcc=c