#9368 ⟨a, b | ab=a, bbba=aaa⟩

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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. a4 ⇒ a2 [3]
3. b3a ⇒ a3 [2]
# ab:ab=a,bbba=aaa ab
ab=a
aaaa=aa
bbba=aaa

Isomorphic instances

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

4 total

Σ#PresentationMapping
1125636⟨a, b | ab=a, bbbab=aaa⟩φ(a) = a, φ(b) = b
1125884⟨a, b | ab=a, bbba=aaab⟩φ(a) = a, φ(b) = b
1125885⟨a, b | ab=a, bbba=aaba⟩φ(a) = a, φ(b) = b
1125887⟨a, b | ab=a, bbba=abaa⟩φ(a) = a, φ(b) = b