#2578 ⟨a, b | aaa=1, abab=bb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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. a3 ⇒ 1 [1]
2. bab ⇒ a2b2 [3]
3. ba2b2 ⇒ ab3 [4]
# ab:aaa=1,abab=bb reversed:a/b
aaa=1
bab=aabb
baabb=abbb

Isomorphic instances

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

3 total

Σ#PresentationMapping
108051⟨a, b | aaa=1, aabb=bab⟩φ(a) = a, φ(b) = b
1122759⟨a, b | aaa=1, aabab=abb⟩φ(a) = a, φ(b) = b
1122785⟨a, b | aaa=1, abaab=bab⟩φ(a) = a, φ(b) = aab

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1122791⟨a, b | aaa=1, ababa=abb⟩φ(a) = a, φ(b) = b