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y*x?y*x?y* = y*(x|ε)y*(x|ε)y*
r18
r7
r2 r6
*r1 r5
y r3
y
NFA for r1 is
x
NFA for r3 is
εNFA for r4 is
NFA for r2 = r1 *
ε y ε
ε
ε
NFA for r5 = r3 | r4
Parse Tree
( )
| r4
x ε
r17
r9 r13
*r8 r12
y r10
( )
| r11
x ε
r14 r16
*r15
y
y
ε
ε
εε
ε
NFA for r6 = (r5) = r5
NFA for r9 and r16
is same as r2
NFA for r7 =r2r6
ε y
ε
ε
ε
y
ε
ε
εε
ε
ε
NFA for r14 is same as r7
NFA for r17 =r14r16 =r7r2
ε y
ε
ε
ε
y
ε
ε
εε
ε
ε ε y
ε
ε
ε
ε
ε y
ε
ε
ε
y
ε
ε
εε
ε
ε
ε y
ε
ε
ε
εε y
ε
ε
ε
y
ε
ε
εε
ε
ε
NFA for r18 =r7 r17
ε

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Regular expression to NFA

  • 1. y*x?y*x?y* = y*(x|ε)y*(x|ε)y* r18 r7 r2 r6 *r1 r5 y r3 y NFA for r1 is x NFA for r3 is εNFA for r4 is NFA for r2 = r1 * ε y ε ε ε NFA for r5 = r3 | r4 Parse Tree ( ) | r4 x ε r17 r9 r13 *r8 r12 y r10 ( ) | r11 x ε r14 r16 *r15 y y ε ε εε ε NFA for r6 = (r5) = r5 NFA for r9 and r16 is same as r2
  • 2. NFA for r7 =r2r6 ε y ε ε ε y ε ε εε ε ε NFA for r14 is same as r7 NFA for r17 =r14r16 =r7r2 ε y ε ε ε y ε ε εε ε ε ε y ε ε ε ε ε y ε ε ε y ε ε εε ε ε ε y ε ε ε εε y ε ε ε y ε ε εε ε ε NFA for r18 =r7 r17 ε