#7141 ⟨a, b | bb=aa, aaab=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. a6 ⇒ a2 [7]
2. ba2 ⇒ a5 [5]
3. a2b ⇒ a5 [8]
4. b2 ⇒ a2 [1]
# ab:bb=aa,aaab=aa a/b
aaaaaa=aa
baa=aaaaa
aab=aaaaa
bb=aa

Isomorphic instances

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

3 total

Σ#PresentationMapping
107144⟨a, b | bb=aa, aaab=bb⟩φ(a) = a, φ(b) = b
107145⟨a, b | bb=aa, aaba=aa⟩φ(a) = a, φ(b) = b
107148⟨a, b | bb=aa, aaba=bb⟩φ(a) = a, φ(b) = b