#5355 ⟨a, b | aab=aa, aba=ba⟩

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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. a4 ⇒ a3 [5]
2. ba ⇒ a3 [3]
3. a2b ⇒ a2 [1]
# ab:aab=aa,aba=ba a/b
aaaa=aaa
ba=aaa
aab=aa

Isomorphic instances

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

2 total

Σ#PresentationMapping
1116103⟨a, b | aab=aa, abab=ba⟩φ(a) = a, φ(b) = b
1116107⟨a, b | aab=aa, abba=ba⟩φ(a) = a, φ(b) = b