#5294 ⟨a, b | aaa=aa, aab=aa⟩

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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. a3 ⇒ a2 [1]
2. a2b ⇒ a2 [2]
# ab:aaa=aa,aab=aa ab
aaa=aa
aab=aa

Isomorphic instances

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

4 total

Σ#PresentationMapping
1115948⟨a, b | aaa=aa, aaab=aa⟩φ(a) = a, φ(b) = b
1116085⟨a, b | aab=aa, aaab=aa⟩φ(a) = a, φ(b) = b
1116089⟨a, b | aab=aa, aaba=aa⟩φ(a) = a, φ(b) = b
1116473⟨a, b | aaa=aa, aab=aaa⟩φ(a) = a, φ(b) = b