#5372 ⟨a, b | aab=aa, bba=bb⟩

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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 ⇒ a2 [3]
2. a2b ⇒ a2 [1]
3. b2a ⇒ b2 [2]
4. b3 ⇒ b2 [4]
# ab:aab=aa,bba=bb ab
aaa=aa
aab=aa
bba=bb
bbb=bb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116140⟨a, b | aab=aa, bbba=bb⟩φ(a) = a, φ(b) = b