#1203 ⟨a, b | aa=1, bbbb=bb⟩

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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 ⇒ 1 [1]
2. b4 ⇒ b2 [2]
# ab:aa=1,bbbb=bb ab
aa=1
bbbb=bb

Isomorphic instances

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

6 total

Σ#PresentationMapping
109985⟨a, b | aa=1, aabbbb=bb⟩φ(a) = a, φ(b) = b
1010042⟨a, b | aa=1, baabbb=bb⟩φ(a) = a, φ(b) = b
1010056⟨a, b | aa=1, bbaabb=bb⟩φ(a) = a, φ(b) = b
1010299⟨a, b | aa=1, abbbb=abb⟩φ(a) = a, φ(b) = b
1010532⟨a, b | aa=1, bbbb=aabb⟩φ(a) = a, φ(b) = b
1010536⟨a, b | aa=1, bbbb=baab⟩φ(a) = a, φ(b) = b