#6481 ⟨a, b | aba=a, babbb=b⟩

Up:Monoids with two generators and two relations
Prev:#6477 ⟨a, b | aba=a, baabb=b⟩
Next:#6482 ⟨a, b | aba=a, bbabb=a⟩

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. aba ⇒ a [1]
2. bab ⇒ b [4]
3. b3 ⇒ b [5]
# ab:aba=a,babbb=b ab
aba=a
bab=b
bbb=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
106483⟨a, b | aba=a, bbabb=b⟩φ(a) = a, φ(b) = b