#751 ⟨a, b | aaa=1, baab=b

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. a3 ⇒ 1 [1]
2. ba2b ⇒ b [2]
# ab:aaa=1,baab=b ab
aaa=1
baab=b

Isomorphic instances

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

4 total

Σ#PresentationMapping
107783a, b | aaa=1, abaab=abφ(a) = a, φ(b) = b
1121667a, b | aaa=1, aaabaab=bφ(a) = a, φ(b) = b
1121753a, b | aaa=1, baaaaab=bφ(a) = a, φ(b) = b
1123295a, b | aaa=1, baab=aaabφ(a) = a, φ(b) = b