#19546 ⟨a, b | aab=b, ababa=ba⟩

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  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. a2b ⇒ b [1]
2. b2a ⇒ ba [5]
3. b3 ⇒ b2 [6]
4. (ba)2 ⇒ aba [3]
5. bab2 ⇒ ab2 [7]
# ab:aab=b,ababa=ba ab
aab=b
bba=ba
bbb=bb
baba=aba
babb=abb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120130⟨a, b | aab=b, baba=aba⟩φ(a) = a, φ(b) = b