#4678 ⟨a, b | aaab=b, aabb=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. ab ⇒ b2 [3]
2. b4 ⇒ b [4]
# ab:aaab=b,aabb=b ba
ab=bb
bbbb=b

Isomorphic instances

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

3 total

Σ#PresentationMapping
104682a, b | aaab=b, abab=bφ(a) = a, φ(b) = b
104708a, b | aaba=a, baba=aφ(a) = b, φ(b) = a
1112999a, b | abb=aab, aaab=bφ(a) = a, φ(b) = b