#8824 ⟨a, b | ab=a, bbbaaa=a⟩

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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. a3 ⇒ a [5]
3. b3a ⇒ a [6]
# ab:ab=a,bbbaaa=a ab
ab=a
aaa=a
bbba=a

Isomorphic instances

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

4 total

Σ#PresentationMapping
1124558⟨a, b | ab=a, bbbaaab=a⟩φ(a) = a, φ(b) = b
1124560⟨a, b | ab=a, bbbaaba=a⟩φ(a) = a, φ(b) = b
1124564⟨a, b | ab=a, bbbabaa=a⟩φ(a) = a, φ(b) = b
1125085⟨a, b | ab=a, bbbaaa=ab⟩φ(a) = a, φ(b) = b