#3665 ⟨a, b | aabbbaaaba=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. ca ⇒ ac [4]
2. cb3acbc ⇒ ba [6]
3. a2 ⇒ c [2]
4. cb3acba ⇒ b [5]
5. cb3acb2a ⇒ bab3acbc [8]
6. b4acba ⇒ (cb3ac)2b2 [9]
7. bab3acba ⇒ cb3acb2 [7]
# ab:aabbbaaaba=b cb/a aa=c morph:2/0
ca=ac
cbbbacbc=ba
aa=c
cbbbacba=b
cbbbacbba=babbbacbc
bbbbacba=cbbbaccbbbacbb
babbbacba=cbbbacbb