#5394 ⟨a, b | aab=ba, abb=aa

Quick links

  1. Properties
  2. Rewriting system
  3. Anti-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. a4 ⇒ a3 [4]
2. ba ⇒ a2b [1]
3. ab2 ⇒ a2 [2]
# ab:aab=ba,abb=aa reversed:a/b
aaaa=aaa
ba=aab
abb=aa

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1116279a, b | aab=bb, aaab=baφ(a) = b, φ(b) = a