#2343 ⟨a, b | abbaaab=aaa

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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 ⇒ c [2]
2. a3b ⇒ ca2c [4]
3. c2a2c ⇒ a3 [6]
4. ca2cb ⇒ a2c [5]
5. a(a2c)2 ⇒ c2a5 [8]
6. a5cb ⇒ c2a4c [7]
# ab:abbaaab=aaa bca abb=c morph:3/2
abb=c
aaab=caac
ccaac=aaa
caacb=aac
aaacaac=ccaaaaa
aaaaacb=ccaaaac