#13210 ⟨a, b | abb=aba, bab=aa⟩

Up:Monoids with two generators and two relations
Prev:#13209 ⟨a, b | abb=aba, baa=bb⟩
Next:#13211 ⟨a, b | abb=aba, 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 [5]
2. ab2 ⇒ aba [1]
3. bab ⇒ a2 [2]
4. aba2 ⇒ a4 [8]
5. ba3 ⇒ a4 [7]
6. a5 ⇒ a4 [6]
# ab:abb=aba,bab=aa ab
aab=aaa
abb=aba
bab=aa
abaa=aaaa
baaa=aaaa
aaaaa=aaaa