#16035 ⟨a, b | aaa=ab, bbab=ba⟩

Up:Monoids with two generators and two relations
Prev:#16034 ⟨a, b | aaa=ab, bbab=ab⟩
Next:#16036 ⟨a, b | aaa=ab, bbab=bb⟩

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. a8 ⇒ a4 [3]
2. ba5 ⇒ ba [6]
3. ab ⇒ a3 [1]
4. b2a ⇒ ba3 [7]
# ab:aaa=ab,bbab=ba a/b
aaaaaaaa=aaaa
baaaaa=ba
ab=aaa
bba=baaa