#1609 ⟨a, b | aaa=bb, bbb=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. a6 ⇒ a3 [4]
2. ba3 ⇒ b [3]
3. a3b ⇒ b [2]
4. b2 ⇒ a3 [1]
# ab:aaa=bb,bbb=b a/b
aaaaaa=aaa
baaa=b
aaab=b
bb=aaa

Isomorphic instances

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

2 total

Σ#PresentationMapping
105077a, b | aaa=bb, aaab=bφ(a) = a, φ(b) = b
1119781a, b | aaa=a, aaaa=bbbφ(a) = b, φ(b) = a