#13110 ⟨a, b | bbb=aaa, aaaa=a⟩

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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 ⇒ b3 [1]
2. b3a ⇒ a [2]
3. ab3 ⇒ a [3]
4. b6 ⇒ b3 [4]
# ab:bbb=aaa,aaaa=a ba
aaa=bbb
bbba=a
abbb=a
bbbbbb=bbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1113113⟨a, b | bbb=aaa, aaab=b⟩φ(a) = b, φ(b) = a