#14584 ⟨a, b | aaba=a, babbb=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. bab3 ⇒ b [2]
2. b2ab ⇒ bab2 [9]
3. a2b ⇒ ab3 [3]
4. ab3a ⇒ a [4]
5. ab5a ⇒ a2 [5]
6. ba2 ⇒ b3a [6]
7. a3 ⇒ ab7a [7]
# ab:aaba=a,babbb=b b/a
babbb=b
bbab=babb
aab=abbb
abbba=a
abbbbba=aa
baa=bbba
aaa=abbbbbbba

Isomorphic instances

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

2 total

Σ#PresentationMapping
1114592⟨a, b | aaba=a, bbabb=b⟩φ(a) = a, φ(b) = b
1114822⟨a, b | abba=a, baaab=b⟩φ(a) = b, φ(b) = a