#6376 ⟨a, b | aab=a, bbbab=a⟩

Up:Monoids with two generators and two relations
Prev:#6374 ⟨a, b | aab=a, bbbaa=a⟩
Next:#6378 ⟨a, b | aab=a, bbbba=a⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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. a5 ⇒ a [9]
2. ab ⇒ a4 [10]
3. b3a ⇒ a2 [5]
# ab:aab=a,bbbab=a a/b
aaaaa=a
ab=aaaa
bbba=aa

Isomorphic instances

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

1 total

Σ#PresentationMapping
106654⟨a, b | aab=a, bbba=aa⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
106480⟨a, b | aba=a, babbb=a⟩φ(a) = a, φ(b) = b