#2083 ⟨a, b | aab=b, bbbb=b⟩

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  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. b4 ⇒ b [2]
# ab:aab=b,bbbb=b ab
aab=b
bbbb=b

Isomorphic instances

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

7 total

Σ#PresentationMapping
1112489⟨a, b | aabb=bb, bbbb=b⟩φ(a) = a, φ(b) = b
1118991⟨a, b | aab=b, aabbbb=b⟩φ(a) = a, φ(b) = b
1119039⟨a, b | aab=b, baabbb=b⟩φ(a) = a, φ(b) = b
1119063⟨a, b | aab=b, bbaabb=b⟩φ(a) = a, φ(b) = b
1119075⟨a, b | aab=b, bbbaab=b⟩φ(a) = a, φ(b) = b
1119565⟨a, b | aab=b, abbbb=ab⟩φ(a) = a, φ(b) = b
1120169⟨a, b | aab=b, bbbb=aab⟩φ(a) = a, φ(b) = b