#2757 ⟨a, b | baabb=abaaa

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

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. ba2b2 ⇒ aba3 [1]
2. ba(ab)2a3 ⇒ aba5b2 [2]
# ab:baabb=abaaa ab
baabb=abaaa
baababaaa=abaaaaabb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101620a, b | aaabaabba=bInfinite cancellative non-commutative monoid