#3744 ⟨a, b | abaabbaaba=b⟩

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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. abac ⇒ b [3]
2. ab2c ⇒ c2ba2ba [7]
3. ab2ac ⇒ cbaca2ba [9]
4. ab3 ⇒ c2ac [8]
5. ab2ab ⇒ c2 [5]
6. ab2a2bc ⇒ cb2a2ba [4]
7. ab2a2ba ⇒ c [2]
8. ab2a2b2 ⇒ cbac [6]
# ab:abaabbaaba=b c/a/b abbaaba=c morph:7/0
abac=b
abbc=ccbaaba
abbac=cbacaaba
abbb=ccac
abbab=cc
abbaabc=cbbaaba
abbaaba=c
abbaabb=cbac