#12280 ⟨a, b | aaab=ba, abbb=a⟩

Up:Monoids with two generators and two relations
Prev:#12275 ⟨a, b | aaab=ba, abaa=b⟩
Next:#12283 ⟨a, b | aaab=ba, baaa=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. a28 ⇒ a2 [3]
2. ba ⇒ a3b [1]
3. ab3 ⇒ a [2]
# ab:aaab=ba,abbb=a reversed:a/b
aaaaaaaaaaaaaaaaaaaaaaaaaaaa=aa
ba=aaab
abbb=a