#20086 ⟨a, b | aab=b, abaa=bba⟩

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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 [7]
2. bab ⇒ ab3 [6]
3. a2b ⇒ b [1]
4. ba2 ⇒ ab2a [3]
# ab:aab=b,abaa=bba b/a
bbbbb=bb
bab=abbb
aab=b
baa=abba

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120100⟨a, b | aab=b, abba=baa⟩φ(a) = a, φ(b) = b