#10008 ⟨a, b | aa=1, ababbb=bb⟩

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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. a2 ⇒ 1 [1]
2. bab3 ⇒ ab2 [3]
3. (ba)2b2 ⇒ b2 [5]
4. b(ab2)2 ⇒ abab2 [4]
# ab:aa=1,ababbb=bb ab
aa=1
babbb=abb
bababb=bb
babbabb=ababb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1010327⟨a, b | aa=1, babbb=abb⟩φ(a) = a, φ(b) = b