#5181 ⟨a, b | aab=ba, babb=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 [6]
2. a2b ⇒ b [7]
3. b3 ⇒ b [5]
# ab:aab=ba,babb=b ab
ba=b
aab=b
bbb=b

Isomorphic instances

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

8 total

Σ#PresentationMapping
105185⟨a, b | aab=ba, bbab=b⟩φ(a) = a, φ(b) = b
105187⟨a, b | aab=ba, bbba=b⟩φ(a) = a, φ(b) = b
1115688⟨a, b | aab=ba, aabbb=b⟩φ(a) = a, φ(b) = b
1115712⟨a, b | aab=ba, baabb=b⟩φ(a) = a, φ(b) = b
1115718⟨a, b | aab=ba, babba=b⟩φ(a) = a, φ(b) = b
1115724⟨a, b | aab=ba, bbaab=b⟩φ(a) = a, φ(b) = b
1115730⟨a, b | aab=ba, bbbaa=b⟩φ(a) = a, φ(b) = b
1115856⟨a, b | aba=ab, aabbb=b⟩φ(a) = a, φ(b) = b