#13132 ⟨a, b | aab=aaa, bab=aa⟩

Up:Monoids with two generators and two relations
Prev:#13131 ⟨a, b | aab=aaa, baa=bb⟩
Next:#13133 ⟨a, b | aab=aaa, bab=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. a2b ⇒ a3 [1]
2. bab ⇒ a2 [2]
3. ba3 ⇒ a4 [3]
4. a5 ⇒ a4 [4]
# ab:aab=aaa,bab=aa ab
aab=aaa
bab=aa
baaa=aaaa
aaaaa=aaaa