#19005 ⟨a, b | aab=b, ababba=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. a2b ⇒ b [1]
2. ba2 ⇒ b [13]
3. bab2 ⇒ aba [12]
4. b3a ⇒ (ab)3 [4]
5. b(ba)2 ⇒ ab2ab [15]
6. (ba)3 ⇒ ab3 [14]
7. b5 ⇒ b [10]
# ab:aab=b,ababba=b reversed:a/b
aab=b
baa=b
babb=aba
bbba=ababab
bbaba=abbab
bababa=abbb
bbbbb=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119593⟨a, b | aab=b, babba=ab⟩φ(a) = a, φ(b) = b