#967 ⟨a, b | aa=a, bab=ab⟩

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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. a2 ⇒ a [1]
2. bab ⇒ ab [2]
# ab:aa=a,bab=ab ab
aa=a
bab=ab

Isomorphic instances

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

9 total

Σ#PresentationMapping
93027⟨a, b | aa=a, baab=ab⟩φ(a) = a, φ(b) = b
93145⟨a, b | aa=a, bab=aab⟩φ(a) = a, φ(b) = b
108893⟨a, b | aa=a, baaab=ab⟩φ(a) = a, φ(b) = b
109123⟨a, b | aa=a, aaab=bab⟩φ(a) = a, φ(b) = b
109165⟨a, b | aa=a, baab=aab⟩φ(a) = a, φ(b) = b
1124689⟨a, b | aa=a, baaaab=ab⟩φ(a) = a, φ(b) = b
1125127⟨a, b | aa=a, aaaab=bab⟩φ(a) = a, φ(b) = b
1125221⟨a, b | aa=a, baaab=aab⟩φ(a) = a, φ(b) = b
1125691⟨a, b | aa=a, baab=aaab⟩φ(a) = a, φ(b) = b