#16455 ⟨a, b | aba=bb, abab=bb⟩

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Quick links

  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. aba ⇒ b2 [1]
2. b2a ⇒ ab2 [3]
3. b3 ⇒ b2 [2]
4. a2b2 ⇒ b2 [5]
5. bab2 ⇒ ab2 [4]
# ab:aba=bb,abab=bb ab
aba=bb
bba=abb
bbb=bb
aabb=bb
babb=abb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116552⟨a, b | aba=bb, bbb=aba⟩φ(a) = a, φ(b) = b