#4025 ⟨a, b | aba=aab, aabb=1⟩

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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. aba ⇒ a2b [1]
2. a2b2 ⇒ 1 [2]
# ab:aba=aab,aabb=1 ab
aba=aab
aabb=1

Isomorphic instances

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

2 total

Σ#PresentationMapping
104027⟨a, b | aba=aab, abab=1⟩φ(a) = a, φ(b) = b
105910⟨a, b | abab=1, abaab=a⟩φ(a) = a, φ(b) = b