#5376 ⟨a, b | aab=ab, aba=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. a2b ⇒ ab [1]
2. b2 ⇒ aba [2]
3. (ba)2 ⇒ (ab)2 [3]
# ab:aab=ab,aba=bb reversed:a/b
aab=ab
bb=aba
baba=abab

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116156⟨a, b | aab=ab, aaba=bb⟩φ(a) = a, φ(b) = b