#20087 ⟨a, b | aab=b, abaa=bbb⟩

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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. b6 ⇒ b2 [6]
2. ab2 ⇒ b4 [4]
3. b5ab ⇒ bab [8]
4. a2b ⇒ b [1]
5. (ab)2 ⇒ b3ab [5]
6. ba2 ⇒ b5 [7]
# ab:aab=b,abaa=bbb b/a
bbbbbb=bb
abb=bbbb
bbbbbab=bab
aab=b
abab=bbbab
baa=bbbbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1120108⟨a, b | aab=b, abbb=baa⟩φ(a) = a, φ(b) = b