#20840 ⟨a, b | ab=aa, bbbba=aa⟩

Up:Monoids with two generators and two relations
Prev:#20834 ⟨a, b | ab=aa, bbbaa=ba⟩
Next:#20842 ⟨a, b | ab=aa, bbbba=ba⟩

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. ab ⇒ a2 [1]
2. b4a ⇒ a2 [2]
3. a6 ⇒ a3 [3]
# ab:ab=aa,bbbba=aa ab
ab=aa
bbbba=aa
aaaaaa=aaa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120841⟨a, b | ab=aa, bbbba=ab⟩φ(a) = a, φ(b) = b