#19562 ⟨a, b | aab=b, abbba=ba⟩

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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. b6 ⇒ b2 [6]
2. ab2 ⇒ b4 [5]
3. b5a ⇒ ba [7]
4. a2b ⇒ b [1]
5. aba ⇒ b3a [3]
# ab:aab=b,abbba=ba b/a
bbbbbb=bb
abb=bbbb
bbbbba=ba
aab=b
aba=bbba

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120162⟨a, b | aab=b, bbba=aba⟩φ(a) = a, φ(b) = b