#5388 ⟨a, b | aab=ab, bba=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. b4a ⇒ b2a [5]
2. ab ⇒ b2a [2]
3. b2a2 ⇒ b2a [6]
# ab:aab=ab,bba=ab reversed:b/a
bbbba=bba
ab=bba
bbaa=bba

Isomorphic instances

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

5 total

Σ#PresentationMapping
1116247⟨a, b | aab=ba, baab=ba⟩φ(a) = b, φ(b) = a
1116251⟨a, b | aab=ba, baba=ba⟩φ(a) = b, φ(b) = a
1116259⟨a, b | aab=ba, bbaa=ba⟩φ(a) = b, φ(b) = a
1116505⟨a, b | aab=ab, bba=aab⟩φ(a) = a, φ(b) = b
1116514⟨a, b | aab=ba, bba=aab⟩φ(a) = b, φ(b) = a