#3023 ⟨a, b | aa=a, abbb=ab

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. a2 ⇒ a [1]
2. ab3 ⇒ ab [2]
# ab:aa=a,abbb=ab ab
aa=a
abbb=ab

Isomorphic instances

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

5 total

Σ#PresentationMapping
108867a, b | aa=a, aabbb=abφ(a) = a, φ(b) = b
109157a, b | aa=a, abbb=aabφ(a) = a, φ(b) = b
1124616a, b | aa=a, aaabbb=abφ(a) = a, φ(b) = b
1125169a, b | aa=a, aabbb=aabφ(a) = a, φ(b) = b
1125680a, b | aa=a, abbb=aaabφ(a) = a, φ(b) = b