#9082 ⟨a, b | ab=a, bbaaa=ba⟩

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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. b2a ⇒ ba [6]
3. a4 ⇒ a2 [3]
4. ba3 ⇒ ba [5]
# ab:ab=a,bbaaa=ba ab
ab=a
bba=ba
aaaa=aa
baaa=ba

Isomorphic instances

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

4 total

Σ#PresentationMapping
1125058⟨a, b | ab=a, bbaaab=ba⟩φ(a) = a, φ(b) = b
1125062⟨a, b | ab=a, bbaaba=ba⟩φ(a) = a, φ(b) = b
1125070⟨a, b | ab=a, bbabaa=ba⟩φ(a) = a, φ(b) = b
1125601⟨a, b | ab=a, bbaaa=bab⟩φ(a) = a, φ(b) = b