#19550 ⟨a, b | aab=b, ababb=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. b6 ⇒ b2 [8]
2. bab4 ⇒ ba [4]
3. b4a ⇒ ab4 [12]
4. a2b ⇒ b [1]
5. aba ⇒ bab2 [3]
6. ab2a ⇒ b3ab [10]
7. ab3a ⇒ b2ab3 [11]
8. ba2 ⇒ b5 [6]
# ab:aab=b,ababb=ba b/a
bbbbbb=bb
babbbb=ba
bbbba=abbbb
aab=b
aba=babb
abba=bbbab
abbba=bbabbb
baa=bbbbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120138⟨a, b | aab=b, babb=aba⟩φ(a) = a, φ(b) = b