#3866 ⟨a, b | aaaaabaaa=ba⟩

Up:Monoids with two generators and one relation
Prev:#3865 ⟨a, b | aaaaabaaa=ab⟩
Next:#3867 ⟨a, b | aaaaabaaa=bb⟩

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. a5c2 ⇒ ca3ca2 [6]
2. a5cac ⇒ ca4ca2 [7]
3. a5ca2 ⇒ c [4]
4. bc ⇒ ca4ca2 [5]
5. ba ⇒ c [2]
# ab:aaaaabaaa=ba ca/b ba=c magic:0
aaaaacc=caaacaa
aaaaacac=caaaacaa
aaaaacaa=c
bc=caaaacaa
ba=c