#4569 ⟨a, b | aaabbbaa=baa⟩

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  1. Properties
  2. Rewriting system

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. bc ⇒ c2 [5]
2. ba2 ⇒ ca2 [3]
3. bac ⇒ cac [6]
4. a3b3 ⇒ c [2]
5. a3c4 ⇒ c2 [7]
6. a3c3a2 ⇒ ca2 [9]
7. a3c3ac ⇒ cac [8]
# ab:aaabbbaa=baa acb aaabbb=c morph:6/0
bc=cc
baa=caa
bac=cac
aaabbb=c
aaacccc=cc
aaacccaa=caa
aaacccac=cac