#12421 ⟨a, b | aaba=bb, 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. b8 ⇒ b [12]
2. ba ⇒ b6 [11]
3. a2b ⇒ b4 [3]
# ab:aaba=bb,babb=b b/a
bbbbbbbb=b
ba=bbbbbb
aab=bbbb

Isomorphic instances

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

2 total

Σ#PresentationMapping
1112425⟨a, b | aaba=bb, bbab=b⟩φ(a) = a, φ(b) = b
1112427⟨a, b | aaba=bb, bbba=b⟩φ(a) = a, φ(b) = b