#5172 ⟨a, b | aab=ba, abbb=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. a9 ⇒ a2 [3]
2. ba ⇒ a2b [1]
3. ab3 ⇒ a [2]
# ab:aab=ba,abbb=a reversed:a/b
aaaaaaaaa=aa
ba=aab
abbb=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
1112497⟨a, b | abaa=bb, baaa=b⟩φ(a) = b, φ(b) = a