#19684 ⟨a, b | aba=a, baaab=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 [5]
2. a2b ⇒ a2 [6]
3. aba ⇒ a [1]
4. ba2 ⇒ a2 [8]
# ab:aba=a,baaab=aa ab
aaa=aa
aab=aa
aba=a
baa=aa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120186⟨a, b | aba=a, aaab=baa⟩φ(a) = a, φ(b) = b