#12365 ⟨a, b | aaba=ab, baab=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. b2 ⇒ b [6]
2. bab ⇒ ba [3]
3. ba2 ⇒ b [4]
4. a2b ⇒ aba [5]
# ab:aaba=ab,baab=b ba
bb=b
bab=ba
baa=b
aab=aba

Isomorphic instances

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

2 total

Σ#PresentationMapping
1112367⟨a, b | aaba=ab, baba=b⟩φ(a) = a, φ(b) = b
1112371⟨a, b | aaba=ab, bbaa=b⟩φ(a) = a, φ(b) = b