#6746 ⟨a, b | aba=a, abba=ab⟩

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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. cb ⇒ c2 [6]
2. ab ⇒ ca [4]
3. c2a ⇒ c [5]
4. cac ⇒ c [9]
5. ca2 ⇒ a [7]
# ab:aba=a,abba=ab cab abb=c morph:3/1
cb=cc
ab=ca
cca=c
cac=c
caa=a