#26705 ⟨a, b | aa=1, bbabbbbb=b⟩

Up:Monoids with two generators and two relations
Prev:#26691 ⟨a, b | aa=1, babbbbbb=b⟩
Next:#26711 ⟨a, b | aa=1, bbbbbbbb=b⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

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. a2 ⇒ 1 [1]
2. b2ab ⇒ bab2 [7]
3. bab6 ⇒ b [4]
# ab:aa=1,bbabbbbb=b ab
aa=1
bbab=babb
babbbbbb=b

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1126709⟨a, b | aa=1, bbbabbbb=b⟩φ(a) = a, φ(b) = b