#2061 ⟨a, b | aab=b, abaa=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. ba4 ⇒ b [4]
2. ab ⇒ ba2 [3]
# ab:aab=b,abaa=b a/b
baaaa=b
ab=baa

Isomorphic instances

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

6 total

Σ#PresentationMapping
1112247a, b | aaab=ab, abaa=bφ(a) = a, φ(b) = b
1112381a, b | aaba=ba, abaa=bφ(a) = a, φ(b) = b
1118969a, b | aab=b, aaabaa=bφ(a) = a, φ(b) = b
1119521a, b | aab=b, aabaa=abφ(a) = a, φ(b) = b
1120060a, b | aab=b, aaab=baaφ(a) = a, φ(b) = b
1120081a, b | aab=b, abaa=aabφ(a) = a, φ(b) = b