#1776 ⟨a, b | abaabbbba=b

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. aba2b5 ⇒ b2a2b4a [2]
2. aba2b4a ⇒ b [1]
# ab:abaabbbba=b ba
abaabbbbb=bbaabbbba
abaabbbba=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102320a, b | abaabba=bbbInfinite cancellative non-commutative monoid