#19558 ⟨a, b | aab=b, abbab=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 [12]
2. bab4 ⇒ ba [8]
3. b4a ⇒ ab4 [10]
4. a2b ⇒ b [1]
5. aba ⇒ b2ab [3]
6. ab2a ⇒ bab3 [7]
7. ab3a ⇒ b3ab2 [4]
8. ba2 ⇒ b5 [13]
# ab:aab=b,abbab=ba b/a
bbbbbb=bb
babbbb=ba
bbbba=abbbb
aab=b
aba=bbab
abba=babbb
abbba=bbbabb
baa=bbbbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120154⟨a, b | aab=b, bbab=aba⟩φ(a) = a, φ(b) = b