#2591 ⟨a, b | aaa=1, babb=ba⟩

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  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. b3 ⇒ b [4]
3. bab2 ⇒ ba [2]
4. ba2b2 ⇒ ba2 [3]
# ab:aaa=1,babb=ba ab
aaa=1
bbb=b
babb=ba
baabb=baa

Isomorphic instances

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

2 total

Σ#PresentationMapping
1122796⟨a, b | aaa=1, ababb=aba⟩φ(a) = a, φ(b) = b
1122834⟨a, b | aaa=1, baabb=baa⟩φ(a) = a, φ(b) = b

Anti-isomorphic instances

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

3 total

Σ#PresentationMapping
107505⟨a, b | aaa=1, aabbab=b⟩φ(a) = a, φ(b) = b
107523⟨a, b | aaa=1, abbaab=b⟩φ(a) = a, φ(b) = b
1122803⟨a, b | aaa=1, abbab=aab⟩φ(a) = a, φ(b) = b