#8878 ⟨a, b | aa=a, ababb=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. abab2 ⇒ ab [2]
# ab:aa=a,ababb=ab ab
aa=a
ababb=ab

Isomorphic instances

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

3 total

Σ#PresentationMapping
1124628⟨a, b | aa=a, aababb=ab⟩φ(a) = a, φ(b) = b
1124654⟨a, b | aa=a, abaabb=ab⟩φ(a) = a, φ(b) = b
1125191⟨a, b | aa=a, ababb=aab⟩φ(a) = a, φ(b) = b