#8832 ⟨a, b | ab=a, bbbbaa=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. a2 ⇒ a [4]
2. ab ⇒ a [1]
3. b4a ⇒ a [5]
# ab:ab=a,bbbbaa=a ab
aa=a
ab=a
bbbba=a

Isomorphic instances

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

3 total

Σ#PresentationMapping
1124574⟨a, b | ab=a, bbbbaab=a⟩φ(a) = a, φ(b) = b
1124576⟨a, b | ab=a, bbbbaba=a⟩φ(a) = a, φ(b) = b
1125101⟨a, b | ab=a, bbbbaa=ab⟩φ(a) = a, φ(b) = b