#7197 ⟨a, b | bb=aa, aab=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. b2 ⇒ a2 [1]
2. a2b ⇒ a3 [2]
3. ba2 ⇒ a3 [3]
# ab:bb=aa,aab=aaa ab
bb=aa
aab=aaa
baa=aaa

Isomorphic instances

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

3 total

Σ#PresentationMapping
107201⟨a, b | bb=aa, abb=aab⟩φ(a) = a, φ(b) = b
107204⟨a, b | bb=aa, baa=abb⟩φ(a) = a, φ(b) = b
107207⟨a, b | bb=aa, bbb=aaa⟩φ(a) = a, φ(b) = b