#5211 ⟨a, b | aab=bb, baba=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. b3 ⇒ b [6]
2. bab ⇒ b2a [3]
3. ba2 ⇒ b2 [7]
4. a2b ⇒ b2 [1]
# ab:aab=bb,baba=b ba
bbb=b
bab=bba
baa=bb
aab=bb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1112370⟨a, b | aaba=ab, bbaa=a⟩φ(a) = b, φ(b) = a
1114783⟨a, b | abab=a, bbabb=a⟩φ(a) = b, φ(b) = a