#19522 ⟨a, b | aab=b, aabaa=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. a2b ⇒ b [1]
2. ba2 ⇒ ba [2]
3. bab ⇒ b2 [3]
# ab:aab=b,aabaa=ba ab
aab=b
baa=ba
bab=bb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1120068⟨a, b | aab=b, aaba=baa⟩φ(a) = a, φ(b) = b
1120082⟨a, b | aab=b, abaa=aba⟩φ(a) = a, φ(b) = b