#1996 ⟨a, b | aaa=a, babb=a

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. ab6 ⇒ a [9]
2. ba ⇒ ab4 [10]
3. a3 ⇒ a [1]
# ab:aaa=a,babb=a b/a
abbbbbb=a
ba=abbbb
aaa=a

Isomorphic instances

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

4 total

Σ#PresentationMapping
1112260a, b | aaab=ab, babb=aφ(a) = a, φ(b) = b
1112394a, b | aaba=ba, babb=aφ(a) = a, φ(b) = b
1118742a, b | aaa=a, baaabb=aφ(a) = a, φ(b) = b
1119834a, b | aaa=a, babb=aaaφ(a) = a, φ(b) = b