#5152 ⟨a, b | aab=ab, bbab=a⟩

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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. b6a ⇒ a [9]
2. ab ⇒ b4a [8]
3. a2 ⇒ a [6]
# ab:aab=ab,bbab=a reversed:b/a
bbbbbba=a
ab=bbbba
aa=a

Isomorphic instances

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

10 total

Σ#PresentationMapping
105268⟨a, b | aba=ab, bbab=a⟩φ(a) = a, φ(b) = b
1114612⟨a, b | aaba=b, aabab=b⟩φ(a) = b, φ(b) = a
1114614⟨a, b | aaba=b, aabba=b⟩φ(a) = b, φ(b) = a
1114636⟨a, b | aaba=b, baaab=b⟩φ(a) = b, φ(b) = a
1114638⟨a, b | aaba=b, baaba=b⟩φ(a) = b, φ(b) = a
1114642⟨a, b | aaba=b, babaa=b⟩φ(a) = b, φ(b) = a
1114650⟨a, b | aaba=b, bbaaa=b⟩φ(a) = b, φ(b) = a
1115659⟨a, b | aab=ab, bbaab=a⟩φ(a) = a, φ(b) = b
1115891⟨a, b | aba=ab, bbaab=a⟩φ(a) = a, φ(b) = b
1115893⟨a, b | aba=ab, bbaba=a⟩φ(a) = a, φ(b) = b