#3607 ⟨a, b | aababbabaa=a⟩

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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. ab ⇒ c [2]
2. cbca3 ⇒ a2c2ba [10]
3. ca2c2ba ⇒ a [13]
4. ac2bca ⇒ c2bca2 [5]
5. cbca2c ⇒ a2c2bc [12]
6. ca2c2bc ⇒ c [14]
7. ac2bc2 ⇒ c2bcac [6]
# ab:aababbabaa=a a/cb ab=c morph:2/0
ab=c
cbcaaa=aaccba
caaccba=a
accbca=ccbcaa
cbcaac=aaccbc
caaccbc=c
accbcc=ccbcac