#56 ⟨a, b | aa=a, ab=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 ⇒ a [1]
2. ab ⇒ b [2]
# ab:aa=a,ab=b ab
aa=a
ab=b

Isomorphic instances

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

5 total

Σ#PresentationMapping
7238a, b | aa=a, aab=bφ(a) = a, φ(b) = b
8883a, b | aa=a, aaab=bφ(a) = a, φ(b) = b
92859a, b | aa=a, aaaab=bφ(a) = a, φ(b) = b
108571a, b | aa=a, aaaaab=bφ(a) = a, φ(b) = b
1124047a, b | aa=a, aaaaaab=bφ(a) = a, φ(b) = b