#8907 ⟨a, b | aa=a, bbabb=ab⟩

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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 ⇒ a [1]
2. (ab)2 ⇒ ab2 [6]
3. b2ab ⇒ ab3 [7]
4. ab4 ⇒ ab [8]
# ab:aa=a,bbabb=ab ab
aa=a
abab=abb
bbab=abbb
abbbb=ab

Isomorphic instances

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

2 total

Σ#PresentationMapping
1124715⟨a, b | aa=a, bbaabb=ab⟩φ(a) = a, φ(b) = b
1125249⟨a, b | aa=a, bbabb=aab⟩φ(a) = a, φ(b) = b