#5393 ⟨a, b | aab=ba, aba=bb

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. a6b ⇒ a5b [4]
2. ba ⇒ a2b [1]
3. b2 ⇒ a3b [2]
# ab:aab=ba,aba=bb reversed:a/b
aaaaaab=aaaaab
ba=aab
bb=aaab

Isomorphic instances

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

1 total

Σ#PresentationMapping
1116216a, b | aab=ba, aaab=bbφ(a) = a, φ(b) = b