#5151 ⟨a, b | aab=ab, bbaa=b

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. b2 ⇒ b [6]
2. a2b ⇒ ab [1]
3. ba2 ⇒ b [7]
4. bab ⇒ b [8]
# ab:aab=ab,bbaa=b ab
bb=b
aab=ab
baa=b
bab=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1115650a, b | aab=ab, babaa=bφ(a) = a, φ(b) = b