#8632 ⟨a, b | aa=a, babbbb=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. ab20 ⇒ a [14]
2. ba ⇒ ab16 [13]
3. a2 ⇒ a [1]
# ab:aa=a,babbbb=a b/a
abbbbbbbbbbbbbbbbbbbb=a
ba=abbbbbbbbbbbbbbbb
aa=a

Isomorphic instances

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

2 total

Σ#PresentationMapping
1124162a, b | aa=a, baabbbb=aφ(a) = a, φ(b) = b
1124710a, b | aa=a, babbbb=aaφ(a) = a, φ(b) = b