#7006 ⟨a, b | ab=aa, bbbaa=a⟩

Up:Monoids with two generators and two relations
Prev:#6998 ⟨a, b | ab=aa, bbaaa=a⟩
Next:#7010 ⟨a, b | ab=aa, bbbba=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. ab ⇒ a2 [1]
2. b3a ⇒ a4 [5]
3. a5 ⇒ a [4]
# ab:ab=aa,bbbaa=a ab
ab=aa
bbba=aaaa
aaaaa=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
107008⟨a, b | ab=aa, bbbab=a⟩φ(a) = a, φ(b) = b