#2138 ⟨a, b | aaaabba=aab

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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. a2b ⇒ c [2]
2. a2cba ⇒ c [4]
3. a2cbc ⇒ cab [5]
4. cacba ⇒ cab [6]
5. c(ab)2 ⇒ cacbc [7]
6. cabacba ⇒ cacbc [8]
7. cabacbc ⇒ cacbcab [9]
# ab:aaaabba=aab acb aab=c magic:0
aab=c
aacba=c
aacbc=cab
cacba=cab
cabab=cacbc
cabacba=cacbc
cabacbc=cacbcab