#2096 ⟨a, b | aba=a, abbb=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. aba ⇒ a [1]
2. ab3 ⇒ a [2]
# ab:aba=a,abbb=a ab
aba=a
abbb=a

Isomorphic instances

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

4 total

Σ#PresentationMapping
1112520a, b | abab=ab, abbb=aφ(a) = a, φ(b) = b
1119128a, b | aba=a, ababbb=aφ(a) = a, φ(b) = b
1119696a, b | aba=a, babbb=baφ(a) = a, φ(b) = b
1120222a, b | aba=a, abbb=abaφ(a) = a, φ(b) = b