#12902 ⟨a, b | aab=aaa, babb=a⟩

Up:Monoids with two generators and two relations
Prev:#12897 ⟨a, b | aab=aaa, baaa=b⟩
Next:#12903 ⟨a, b | aab=aaa, babb=b⟩

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. ba2 ⇒ a3 [5]
3. (ba)2 ⇒ a4 [3]
4. bab2 ⇒ a [2]
5. a6 ⇒ a3 [4]
# ab:aab=aaa,babb=a ab
aab=aaa
baa=aaa
baba=aaaa
babb=a
aaaaaa=aaa