#5237 ⟨a, b | aba=aa, baab=b⟩

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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 ⇒ a2 [1]
2. a4 ⇒ a2 [5]
3. a3b ⇒ ab [3]
4. ba3 ⇒ ba [4]
5. ba2b ⇒ b [2]
# ab:aba=aa,baab=b ab
aba=aa
aaaa=aa
aaab=ab
baaa=ba
baab=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1115834⟨a, b | aba=aa, babab=b⟩φ(a) = a, φ(b) = b