#2073 ⟨a, b | aab=b, baba=b⟩

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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. b2 ⇒ b [5]
2. a2b ⇒ b [1]
3. ba2 ⇒ b [7]
4. bab ⇒ ba [6]
# ab:aab=b,baba=b ab
bb=b
aab=b
baa=b
bab=ba

Isomorphic instances

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

5 total

Σ#PresentationMapping
1112393⟨a, b | aaba=ba, baba=b⟩φ(a) = a, φ(b) = b
1118981⟨a, b | aab=b, aababa=b⟩φ(a) = a, φ(b) = b
1119029⟨a, b | aab=b, baaaba=b⟩φ(a) = a, φ(b) = b
1119545⟨a, b | aab=b, ababa=ab⟩φ(a) = a, φ(b) = b
1120129⟨a, b | aab=b, baba=aab⟩φ(a) = a, φ(b) = b