#15455 ⟨a, b | aaa=ab, aabbb=a

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. a8 ⇒ a [2]
2. ab ⇒ a3 [1]
# ab:aaa=ab,aabbb=a a/b
aaaaaaaa=a
ab=aaa

Isomorphic instances

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

3 total

Σ#PresentationMapping
1115463a, b | aaa=ab, ababb=aφ(a) = a, φ(b) = b
1115467a, b | aaa=ab, abbab=aφ(a) = a, φ(b) = b
1115469a, b | aaa=ab, abbba=aφ(a) = a, φ(b) = b