#3130 ⟨a, b | ab=a, bbba=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 ⇒ a [1]
2. b3a ⇒ ba [2]
# ab:ab=a,bbba=ba ab
ab=a
bbba=ba

Isomorphic instances

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

5 total

Σ#PresentationMapping
109102a, b | ab=a, bbbab=baφ(a) = a, φ(b) = b
109373a, b | ab=a, bbba=babφ(a) = a, φ(b) = b
1125098a, b | ab=a, bbbabb=baφ(a) = a, φ(b) = b
1125641a, b | ab=a, bbbab=babφ(a) = a, φ(b) = b
1125894a, b | ab=a, bbba=babbφ(a) = a, φ(b) = b