#21022 ⟨a, b | ab=aa, bbaa=bba

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. ab ⇒ a2 [1]
2. b2a2 ⇒ b2a [2]
3. a5 ⇒ a4 [3]
# ab:ab=aa,bbaa=bba ab
ab=aa
bbaa=bba
aaaaa=aaaa

Isomorphic instances

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

1 total

Σ#PresentationMapping
1121030a, b | ab=aa, bbab=bbaφ(a) = a, φ(b) = b