#5215 ⟨a, b | aab=bb, bbaa=b⟩

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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. ba4 ⇒ b [5]
2. a2b ⇒ ba2 [4]
3. b2 ⇒ ba2 [6]
# ab:aab=bb,bbaa=b a/b
baaaa=b
aab=baa
bb=baa

Isomorphic instances

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

3 total

Σ#PresentationMapping
1114719⟨a, b | aabb=a, bbabb=a⟩φ(a) = b, φ(b) = a
1114829⟨a, b | abba=a, bbabb=a⟩φ(a) = b, φ(b) = a
1115746⟨a, b | aab=bb, aabaa=b⟩φ(a) = a, φ(b) = b