#964 ⟨a, b | aa=a, abb=ba

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. ab4 ⇒ ab2 [3]
2. ba ⇒ ab2 [2]
3. a2 ⇒ a [1]
# ab:aa=a,abb=ba b/a
abbbb=abb
ba=abb
aa=a

Isomorphic instances

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

7 total

Σ#PresentationMapping
93013a, b | aa=a, aabb=baφ(a) = a, φ(b) = b
93143a, b | aa=a, baa=abbφ(a) = a, φ(b) = b
108853a, b | aa=a, aaabb=baφ(a) = a, φ(b) = b
109138a, b | aa=a, aabb=baaφ(a) = a, φ(b) = b
1124601a, b | aa=a, aaaabb=baφ(a) = a, φ(b) = b
1125142a, b | aa=a, aaabb=baaφ(a) = a, φ(b) = b
1125687a, b | aa=a, baaa=aabbφ(a) = a, φ(b) = b