#25678 ⟨a, b | aa=a, abba=abab⟩

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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. a2 ⇒ a [1]
2. ac ⇒ c [6]
3. ab ⇒ c [3]
4. c2a ⇒ c2 [7]
5. c2b ⇒ c3 [9]
6. cba ⇒ c2 [5]
7. cbc ⇒ c3 [10]
# ab:aa=a,abba=abab acb ab=c morph:2/1
aa=a
ac=c
ab=c
cca=cc
ccb=ccc
cba=cc
cbc=ccc