#13500 ⟨a, b | aaabb=1, bbbbbb=1⟩

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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 ⇒ 1 [6]
2. a3b ⇒ ba3 [5]
3. b2 ⇒ a6 [4]
# ab:aaabb=1,bbbbbb=1 a/b
aaaaaaaaa=1
aaab=baaa
bb=aaaaaa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1113664⟨a, b | aabba=1, bbbbbb=1⟩φ(a) = a, φ(b) = b