#2069 ⟨a, b | aab=b, baaa=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. a2b ⇒ b [1]
2. bab ⇒ b2 [3]
3. ba3 ⇒ b [2]
# ab:aab=b,baaa=b ab
aab=b
bab=bb
baaa=b

Isomorphic instances

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

4 total

Σ#PresentationMapping
1112389⟨a, b | aaba=ba, baaa=b⟩φ(a) = a, φ(b) = b
1118977⟨a, b | aab=b, aabaaa=b⟩φ(a) = a, φ(b) = b
1119537⟨a, b | aab=b, abaaa=ab⟩φ(a) = a, φ(b) = b
1120113⟨a, b | aab=b, baaa=aab⟩φ(a) = a, φ(b) = b