#20984 ⟨a, b | ab=aa, baaa=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 ⇒ a2 [1]
2. ba3 ⇒ a3 [2]
3. a5 ⇒ a4 [3]
# ab:ab=aa,baaa=aaa ab
ab=aa
baaa=aaa
aaaaa=aaaa

Isomorphic instances

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

15 total

Σ#PresentationMapping
1120985⟨a, b | ab=aa, baaa=aab⟩φ(a) = a, φ(b) = b
1120986⟨a, b | ab=aa, baaa=aba⟩φ(a) = a, φ(b) = b
1120987⟨a, b | ab=aa, baaa=abb⟩φ(a) = a, φ(b) = b
1120992⟨a, b | ab=aa, baab=aaa⟩φ(a) = a, φ(b) = b
1120993⟨a, b | ab=aa, baab=aab⟩φ(a) = a, φ(b) = b
1120994⟨a, b | ab=aa, baab=aba⟩φ(a) = a, φ(b) = b
1120995⟨a, b | ab=aa, baab=abb⟩φ(a) = a, φ(b) = b
1121000⟨a, b | ab=aa, baba=aaa⟩φ(a) = a, φ(b) = b
1121001⟨a, b | ab=aa, baba=aab⟩φ(a) = a, φ(b) = b
1121002⟨a, b | ab=aa, baba=aba⟩φ(a) = a, φ(b) = b
1121003⟨a, b | ab=aa, baba=abb⟩φ(a) = a, φ(b) = b
1121008⟨a, b | ab=aa, babb=aaa⟩φ(a) = a, φ(b) = b
1121009⟨a, b | ab=aa, babb=aab⟩φ(a) = a, φ(b) = b
1121010⟨a, b | ab=aa, babb=aba⟩φ(a) = a, φ(b) = b
1121011⟨a, b | ab=aa, babb=abb⟩φ(a) = a, φ(b) = b