#19241 ⟨a, b | aaa=a, aaaba=ba⟩

Up:Monoids with two generators and two relations
Prev:#19240 ⟨a, b | aaa=a, aaaba=ab⟩
Next:#19244 ⟨a, b | aaa=a, aaabb=ab⟩

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 ⇒ c [5]
2. ba ⇒ c [3]
3. bc ⇒ c2 [6]
4. a3 ⇒ a [1]
5. ca2 ⇒ c [7]
# ab:aaa=a,aaaba=ba acb ba=c morph:2/1
ac=c
ba=c
bc=cc
aaa=a
caa=c