#9152 ⟨a, b | aa=a, abba=aba

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. ab2a ⇒ aba [2]
# ab:aa=a,abba=aba ab
aa=a
abba=aba

Isomorphic instances

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

2 total

Σ#PresentationMapping
1125162a, b | aa=a, aabba=abaφ(a) = a, φ(b) = b
1125676a, b | aa=a, abba=aabaφ(a) = a, φ(b) = b