#8608 ⟨a, b | aa=a, ababbb=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. a2 ⇒ a [1]
2. abab3 ⇒ a [2]
# ab:aa=a,ababbb=a ab
aa=a
ababbb=a

Isomorphic instances

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

3 total

Σ#PresentationMapping
1124088a, b | aa=a, aababbb=aφ(a) = a, φ(b) = b
1124114a, b | aa=a, abaabbb=aφ(a) = a, φ(b) = b
1124665a, b | aa=a, ababbb=aaφ(a) = a, φ(b) = b