#1631 ⟨a, b | aab=ab, bba=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. ba ⇒ b [6]
2. b2 ⇒ b [5]
3. a2b ⇒ ab [1]
# ab:aab=ab,bba=b ab
ba=b
bb=b
aab=ab

Isomorphic instances

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

2 total

Σ#PresentationMapping
105147a, b | aab=ab, baba=bφ(a) = a, φ(b) = b
1115646a, b | aab=ab, baaba=bφ(a) = a, φ(b) = b