#8986 ⟨a, b | ab=a, aaaaa=ba

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. a6 ⇒ a2 [3]
2. ba ⇒ a5 [2]
3. ab ⇒ a [1]
# ab:ab=a,aaaaa=ba a/b
aaaaaa=aa
ba=aaaaa
ab=a

Isomorphic instances

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

6 total

Σ#PresentationMapping
1124866a, b | ab=a, aaaaab=baφ(a) = a, φ(b) = b
1124870a, b | ab=a, aaaaba=baφ(a) = a, φ(b) = b
1124878a, b | ab=a, aaabaa=baφ(a) = a, φ(b) = b
1124894a, b | ab=a, aabaaa=baφ(a) = a, φ(b) = b
1124926a, b | ab=a, abaaaa=baφ(a) = a, φ(b) = b
1125409a, b | ab=a, aaaaa=babφ(a) = a, φ(b) = b