#5391 ⟨a, b | aab=ba, aba=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. a3b ⇒ ab [2]
2. ba ⇒ a2b [1]
# ab:aab=ba,aba=ab reversed:a/b
aaab=ab
ba=aab

Isomorphic instances

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

2 total

Σ#PresentationMapping
1116214a, b | aab=ba, aaab=abφ(a) = a, φ(b) = b
1116383a, b | aba=ab, aaba=baφ(a) = a, φ(b) = b