#4584 ⟨a, b | aaabbbba=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. ab2 ⇒ a2cba [3]
2. cb2 ⇒ a2cbc [6]
3. a2cbab ⇒ c [4]
4. a2(cb)2 ⇒ (cba)2 [7]
5. (a2cb)2a ⇒ cb [5]
6. (cba)2b ⇒ (a2cb)2c [8]
7. (a2cba2)2cbc ⇒ (cb)2ab [9]
# ab:aaabbbba=abb ac/b abbb=c morph:4/1
abb=aacba
cbb=aacbc
aacbab=c
aacbcb=cbacba
aacbaacba=cb
cbacbab=aacbaacbc
aacbaaaacbaacbc=cbcbab