#16319 ⟨a, b | aab=bb, babb=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. b5 ⇒ b3 [5]
2. b3a ⇒ ba [6]
3. bab ⇒ b2a [7]
4. ba2 ⇒ b4 [3]
5. a2b ⇒ b2 [1]
# ab:aab=bb,babb=ba reversed:b/a
bbbbb=bbb
bbba=ba
bab=bba
baa=bbbb
aab=bb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116327⟨a, b | aab=bb, bbab=ba⟩φ(a) = a, φ(b) = b