#6256 ⟨a, b, c | aa=1, bbcbcb=1⟩

Contents

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word:
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  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1
1
#RuleProof
1. a2 ⇒ 1 [1]
2. d2c ⇒ cd2 [9]
3. bd3 ⇒ c [5]
4. d2b ⇒ bd2 [6]
5. cdc ⇒ d5 [10]
6. cdb ⇒ d2 [8]
7. bc ⇒ d [3]
8. bdc ⇒ cbd [12]
9. b2d2 ⇒ 1 [14]
10. bdbd2 ⇒ cb [7]
11. db2 ⇒ b2d [13]
12. cb2 ⇒ bd [11]
# abc:aa=1,bbcbcb=1 ad/cb bc=d morph:2/0
aa=1
ddc=cdd
bddd=c
ddb=bdd
cdc=ddddd
cdb=dd
bc=d
bdc=cbd
bbdd=1
bdbdd=cb
dbb=bbd
cbb=bd