#16314 ⟨a, b | aab=bb, baba=ab⟩

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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. b5 ⇒ b2 [9]
2. ab ⇒ b3 [5]
3. b2a ⇒ b4 [11]
# ab:aab=bb,baba=ab b/a
bbbbb=bb
ab=bbb
bba=bbbb

Isomorphic instances

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

4 total

Σ#PresentationMapping
1116449⟨a, b | aba=bb, aabb=ab⟩φ(a) = a, φ(b) = b
1116453⟨a, b | aba=bb, abab=ab⟩φ(a) = a, φ(b) = b
1116457⟨a, b | aba=bb, abba=ab⟩φ(a) = a, φ(b) = b
1116464⟨a, b | aba=bb, baab=ab⟩φ(a) = a, φ(b) = b