#2031 ⟨a, b | abaaabba=ab

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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. c2a ⇒ cac [9]
2. (ca)2 ⇒ ca2c [7]
3. ca2ca ⇒ c [5]
4. abca ⇒ abac [8]
5. abaca ⇒ aba2c [6]
6. aba2ca ⇒ ab [3]
7. cb ⇒ aba2c2 [4]
8. ab2 ⇒ c [2]
# ab:abaaabba=ab ac/b abb=c morph:3/0
cca=cac
caca=caac
caaca=c
abca=abac
abaca=abaac
abaaca=ab
cb=abaacc
abb=c