#1257 ⟨a, b | aa=1, bbb=bab

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 ⇒ 1 [1]
2. bab ⇒ b3 [2]
# ab:aa=1,bbb=bab ba
aa=1
bab=bbb

Isomorphic instances

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

5 total

Σ#PresentationMapping
1010243a, b | aa=1, aabab=bbbφ(a) = a, φ(b) = b
1010257a, b | aa=1, aabbb=babφ(a) = a, φ(b) = b
1010309a, b | aa=1, baaab=bbbφ(a) = a, φ(b) = b
1010315a, b | aa=1, baabb=babφ(a) = a, φ(b) = b
1010496a, b | aa=1, abbb=ababφ(a) = a, φ(b) = b