#5286 ⟨a, b | aba=bb, 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. aba ⇒ b2 [1]
2. ab3 ⇒ a [2]
3. b3a ⇒ a [3]
4. b5 ⇒ b2 [4]
# ab:aba=bb,abbb=a ab
aba=bb
abbb=a
bbba=a
bbbbb=bb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1115915⟨a, b | aba=bb, aabab=a⟩φ(a) = a, φ(b) = b
1115923⟨a, b | aba=bb, ababa=a⟩φ(a) = a, φ(b) = b