#2090 ⟨a, b | aba=a, aabb=a

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances
  4. Anti-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. a2b2 ⇒ a [2]
# ab:aba=a,aabb=a ab
aba=a
aabb=a

Isomorphic instances

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

4 total

Σ#PresentationMapping
1119108a, b | aba=a, aababb=aφ(a) = a, φ(b) = b
1119122a, b | aba=a, abaabb=aφ(a) = a, φ(b) = b
1119689a, b | aba=a, baabb=baφ(a) = a, φ(b) = b
1120200a, b | aba=a, aabb=abaφ(a) = a, φ(b) = b

Anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1112344a, b | aaba=aa, bbaa=aφ(a) = a, φ(b) = b