#1641 ⟨a, b | aab=ba, bab=b⟩

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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. ba ⇒ b [5]
2. b2 ⇒ b [6]
3. a2b ⇒ b [7]
# ab:aab=ba,bab=b ab
ba=b
bb=b
aab=b

Isomorphic instances

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

15 total

Σ#PresentationMapping
91643⟨a, b | aab=ba, bba=b⟩φ(a) = a, φ(b) = b
105165⟨a, b | aab=ba, aabb=b⟩φ(a) = a, φ(b) = b
105177⟨a, b | aab=ba, baab=b⟩φ(a) = a, φ(b) = b
105179⟨a, b | aab=ba, baba=b⟩φ(a) = a, φ(b) = b
105183⟨a, b | aab=ba, bbaa=b⟩φ(a) = a, φ(b) = b
105249⟨a, b | aba=ab, aabb=b⟩φ(a) = a, φ(b) = b
1112480⟨a, b | aabb=ba, babb=b⟩φ(a) = a, φ(b) = b
1115684⟨a, b | aab=ba, aabab=b⟩φ(a) = a, φ(b) = b
1115686⟨a, b | aab=ba, aabba=b⟩φ(a) = a, φ(b) = b
1115708⟨a, b | aab=ba, baaab=b⟩φ(a) = a, φ(b) = b
1115710⟨a, b | aab=ba, baaba=b⟩φ(a) = a, φ(b) = b
1115714⟨a, b | aab=ba, babaa=b⟩φ(a) = a, φ(b) = b
1115722⟨a, b | aab=ba, bbaaa=b⟩φ(a) = a, φ(b) = b
1115852⟨a, b | aba=ab, aabab=b⟩φ(a) = a, φ(b) = b
1115854⟨a, b | aba=ab, aabba=b⟩φ(a) = a, φ(b) = b