#5324 ⟨a, b | aaa=ab, baa=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. a5 ⇒ a4 [3]
2. ba2 ⇒ a3 [2]
3. ab ⇒ a3 [1]
# ab:aaa=ab,baa=ab a/b
aaaaa=aaaa
baa=aaa
ab=aaa

Isomorphic instances

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

2 total

Σ#PresentationMapping
1116481a, b | aaa=ab, baa=aaaφ(a) = a, φ(b) = b
1116555a, b | abb=ba, bbb=abbφ(a) = b, φ(b) = a