#12289 ⟨a, b | aaab=ba, babb=b⟩

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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. b5 ⇒ b [6]
2. ba ⇒ b3 [5]
3. a3b ⇒ b3 [7]
# ab:aaab=ba,babb=b b/a
bbbbb=b
ba=bbb
aaab=bbb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1112293⟨a, b | aaab=ba, bbab=b⟩φ(a) = a, φ(b) = b
1112295⟨a, b | aaab=ba, bbba=b⟩φ(a) = a, φ(b) = b