#25187 ⟨a, b | aa=a, ababa=abb⟩

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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 [5]
3. ca ⇒ c [6]
4. cba ⇒ abc [7]
5. cbc ⇒ abc2 [10]
6. ab2 ⇒ c [3]
7. a(ba)2 ⇒ c [4]
8. (ab)2c ⇒ c2 [9]
9. cb2 ⇒ c2 [11]
# ab:aa=a,ababa=abb ac/b abb=c morph:3/0
aa=a
ac=c
ca=c
cba=abc
cbc=abcc
abb=c
ababa=c
ababc=cc
cbb=cc