#20616 ⟨a, b | ab=aa, bbaaaa=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 ⇒ a2 [1]
2. b2a ⇒ a3 [6]
3. a6 ⇒ a [5]
# ab:ab=aa,bbaaaa=a ab
ab=aa
bba=aaa
aaaaaa=a

Isomorphic instances

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

7 total

Σ#PresentationMapping
1120618⟨a, b | ab=aa, bbaaab=a⟩φ(a) = a, φ(b) = b
1120620⟨a, b | ab=aa, bbaaba=a⟩φ(a) = a, φ(b) = b
1120622⟨a, b | ab=aa, bbaabb=a⟩φ(a) = a, φ(b) = b
1120624⟨a, b | ab=aa, bbabaa=a⟩φ(a) = a, φ(b) = b
1120626⟨a, b | ab=aa, bbabab=a⟩φ(a) = a, φ(b) = b
1120628⟨a, b | ab=aa, bbabba=a⟩φ(a) = a, φ(b) = b
1120630⟨a, b | ab=aa, bbabbb=a⟩φ(a) = a, φ(b) = b