#20273 ⟨a, b | aba=b, aabb=abb⟩

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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 ⇒ b [1]
2. b2a ⇒ ab2 [3]
3. a2b2 ⇒ ab2 [2]
4. ab3 ⇒ b3 [5]
5. bab2 ⇒ b3 [4]
# ab:aba=b,aabb=abb ab
aba=b
bba=abb
aabb=abb
abbb=bbb
babb=bbb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1120276⟨a, b | aba=b, aabb=bba⟩φ(a) = a, φ(b) = b
1120289⟨a, b | aba=b, abba=abb⟩φ(a) = a, φ(b) = b