#19013 ⟨a, b | aab=b, abbaba=b⟩

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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. ba2 ⇒ b [13]
2. a2b ⇒ b [1]
3. b2ab ⇒ aba [10]
4. ab3 ⇒ (ba)3 [7]
5. abab2 ⇒ bab2a [14]
6. (ab)3 ⇒ b3a [12]
7. b5 ⇒ b [8]
# ab:aab=b,abbaba=b a/b
baa=b
aab=b
bbab=aba
abbb=bababa
ababb=babba
ababab=bbba
bbbbb=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119609⟨a, b | aab=b, bbaba=ab⟩φ(a) = a, φ(b) = b