#5400 ⟨a, b | aab=ba, bab=ba⟩

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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. a6b ⇒ a4b [3]
2. ba ⇒ a2b [1]
3. a2b2 ⇒ a2b [2]
# ab:aab=ba,bab=ba reversed:a/b
aaaaaab=aaaab
ba=aab
aabb=aab

Isomorphic instances

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

3 total

Σ#PresentationMapping
1116223⟨a, b | aab=ba, aabb=ba⟩φ(a) = a, φ(b) = b
1116513⟨a, b | aab=ba, bab=aab⟩φ(a) = a, φ(b) = b
1116541⟨a, b | aba=ab, bba=aba⟩φ(a) = b, φ(b) = a