#2904 ⟨a, b, c | aab=a, cbc=a⟩

Contents

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1
1
#RuleProof
1. dc ⇒ dbd [12]
2. d2bcb2 ⇒ d [15]
3. (db)2c ⇒ d2bcb [14]
4. a ⇒ dbcb [6]
5. cbc ⇒ dbcb [16]
6. dbc2 ⇒ dbcbd [9]
7. dbcb2c ⇒ cbdbcb [11]
8. (dbc)2b2 ⇒ dbc [13]
9. dbcbdbc ⇒ (dbc)2b [10]
# abc:aab=a,cbc=a bd/ca ac=d morph:2/1
dc=dbd
ddbcbb=d
dbdbc=ddbcb
a=dbcb
cbc=dbcb
dbcc=dbcbd
dbcbbc=cbdbcb
dbcdbcbb=dbc
dbcbdbc=dbcdbcb