#9124 ⟨a, b | aa=a, aaab=bba

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. b4a ⇒ b2a [3]
2. ab ⇒ b2a [2]
3. a2 ⇒ a [1]
# ab:aa=a,aaab=bba reversed:b/a
bbbba=bba
ab=bba
aa=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
1125128a, b | aa=a, aaaab=bbaφ(a) = a, φ(b) = b