#5222 ⟨a, b | aba=aa, aaaa=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 ⇒ a2 [1]
2. a4 ⇒ a [2]
# ab:aba=aa,aaaa=a ab
aba=aa
aaaa=a

Isomorphic instances

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

4 total

Σ#PresentationMapping
1114333a, b | aaaa=a, aaaba=aφ(a) = a, φ(b) = b
1114337a, b | aaaa=a, aabaa=aφ(a) = a, φ(b) = b
1115805a, b | aba=aa, aaaba=aφ(a) = a, φ(b) = b
1115809a, b | aba=aa, aabaa=aφ(a) = a, φ(b) = b