#1135 ⟨a, b | aa=1, bbbbb=b

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. b5 ⇒ b [2]
# ab:aa=1,bbbbb=b ab
aa=1
bbbbb=b

Isomorphic instances

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

5 total

Σ#PresentationMapping
109715a, b | aa=1, aabbbbb=bφ(a) = a, φ(b) = b
109775a, b | aa=1, baabbbb=bφ(a) = a, φ(b) = b
109791a, b | aa=1, bbaabbb=bφ(a) = a, φ(b) = b
1010025a, b | aa=1, abbbbb=abφ(a) = a, φ(b) = b
1010339a, b | aa=1, bbbbb=aabφ(a) = a, φ(b) = b