Regular Expression to regular grammar
For any regular formula R selecting a nonterminal Z → Z generation rule R
1. rules of the form A → ab converted into A → aB, B → b
2. the form A → a | b rules, be converted into A → a, A → b (A → a | b)
3. The form A → a * b rules, be converted into A → aA, A → b
The form A → ba * As a rule, be converted into A → Aa, A → b
Continue using the conversion rules, each rule comprising at most until a terminator far.
1(0|1)*101
S→A1
A→B0
B→C1
C→1(0|1)*
-C→C(0|1)|1
C → C0 | C1 | 1
(a|b)*(aa|bb)(a|b)*
S→(a|b)S
S→(aa|bb)(a|b)*
-S→S(a|b)
-S → aa | bb
Agriculture → aS | bS | Sa | Sb | aA | bB
A→a
B→b
((0|1)*|(11))*
S→((0|1)*|(11))S
A→(0|1)*,A→11
A→(0|1)A
A → 0A | 1A | 11
(0|11*0)*
S→(0|11*0)S
A→0|11*0
A→0,A→11*0
A→B0
B→B1|1
Automaton M = ({q0, q1, q2, q3}, {0,1}, f, q0, {q3})
Where f:
(q0,0)=q1
(q1,0)=q2
(Q2,0) = q3
(q0,1)=q0
(q1,1)=q0
(Q2,1) = q0
(Q3,0) = q3
(Q3,1) = q3
Videos the current state transition matrix and a state transition diagram.
(1) state transition matrix
0 | 1 | |
q0 | q1 | q0 |
q1 | q2 | q0 |
q2 | q3 | q0 |
q3 | q3 | q3 |
(2) a state transition diagram
3. configured by regular automatic machine NFA formula R
(A | b) * abb
(a|b)(aa|bb)(a|b)*
1(1010*|1(010)*1)*0