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first_follow_corretto.txt
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first_follow_corretto.txt
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La grammatica va cosi` modificata:
1 Prog::= let Bind in Exp end | letrec Bind in Exp end
2 Bind::= var = Exp X
3 X::= and Bind | epsilon
4 Exp ::= Prog | lambda(Seq_Var) Exp | ExpA | OPP(Seq_Exp) | if Exp then Exp else Exp
5 ExpA::= T E1
6 E1::= OPA T E1 | epsilon
7 T::= F T1
8 T1::= OPM F T1 | epsilon
9 F::= var Y | exp_const | (ExpA)
10 Y :: = (Seq_Exp) | epsilon
11 OPA::= + | -
12 OPM::= * | /
13 OPP::= cons | car | cdr | eq | leq | atom
14 Seq_Exp::= Exp Z | epsilon
15 Z::= , Seq_Exp | epsilon
16 Seq_Var ::= var Seq_var | epsilon
CALCOLO DEL FIRST DI G_ll(1)
============================
i = 0
-----
FIRST(Prog): {}
FIRST(Bind): {}
FIRST(X): {}
FIRST(Exp): {}
FIRST(ExpA): {}
FIRST(E1): {}
FIRST(T): {}
FIRST(T1): {}
FIRST(F): {}
FIRST(Y): {}
FIRST(OPA): {}
FIRST(OPM): {}
FIRST(OPP): {}
FIRST(Seq_Exp): {}
FIRST(Z): {}
FIRST(Seq_Var): {}
i = 1
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if }
FIRST(ExpA): {}
FIRST(E1): { epsilon }
FIRST(T): {}
FIRST(T1): { epsilon }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
i = 2
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if, let, letrec, cons, car, cdr, eq, leq, atom }
FIRST(ExpA): {}
FIRST(E1): { epsilon, +, -}
FIRST(T): { var, exp_const, ( }
FIRST(T1): { epsilon, *, / }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon, lambda, if, let, letrec, cons, car, cdr, eq, leq, atom }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
i = 3
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if, let, letrec, cons, car, cdr, eq, leq, atom }
FIRST(ExpA): { var, exp_const, ( }
FIRST(E1): { epsilon, +, -}
FIRST(T): { var, exp_const, ( }
FIRST(T1): { epsilon, *, / }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon, lambda, if, let, letrec, cons, car, cdr, eq, leq, atom }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
i = 4
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(ExpA): { var, exp_const, ( }
FIRST(E1): { epsilon, +, -}
FIRST(T): { var, exp_const, ( }
FIRST(T1): { epsilon, *, / }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon, lambda, if, let, letrec, cons, car, cdr, eq, leq, atom }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
i = 5
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(ExpA): { var, exp_const, ( }
FIRST(E1): { epsilon, +, -}
FIRST(T): { var, exp_const, ( }
FIRST(T1): { epsilon, *, / }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon, lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
i = 6
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(ExpA): { var, exp_const, ( }
FIRST(E1): { epsilon, +, -}
FIRST(T): { var, exp_const, ( }
FIRST(T1): { epsilon, *, / }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon, lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
--- END
CALCOLO DEL FOLLOW DI G_ll(1)
============================
i = 0
-----
FOLLOW(Prog): { $ }
FOLLOW(Bind): {}
FOLLOW(X): {}
FOLLOW(Exp): {}
FOLLOW(ExpA): {}
FOLLOW(E1): {}
FOLLOW(T): {}
FOLLOW(T1): {}
FOLLOW(F): {}
FOLLOW(Y): {}
FOLLOW(OPA): {}
FOLLOW(OPM): {}
FOLLOW(OPP): {}
FOLLOW(Seq_Exp): {}
FOLLOW(Z): {}
FOLLOW(Seq_Var): {}
i = 1
-----
FOLLOW(Prog): { $ }
FOLLOW(Bind): { in }
FOLLOW(X): {}
FOLLOW(Exp): { end, and, then, else, , }
FOLLOW(ExpA): { ) }
FOLLOW(E1): {}
FOLLOW(T): { +, - }
FOLLOW(T1): {}
FOLLOW(F): { *, / }
FOLLOW(Y): {}
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): {}
FOLLOW(Seq_Var): { ) }
i = 2
-----
FOLLOW(Prog): { $, end, then, else, , }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in }
FOLLOW(ExpA): { ), end, and, then, else, , }
FOLLOW(E1): { ) }
FOLLOW(T): { +, -, ) }
FOLLOW(T1): { +, - }
FOLLOW(F): { *, /, +, - }
FOLLOW(Y): { *, / }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }
i = 3
-----
FOLLOW(Prog): { $, end, and, then, else, ,, in }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in, ) }
FOLLOW(ExpA): { ), end, and, then, else, ,, in }
FOLLOW(E1): { ), end, and, then, else, , }
FOLLOW(T): { +, -, ), end, and, then, else, , }
FOLLOW(T1): { +, -, ) }
FOLLOW(F): { *, /, +, -, ) }
FOLLOW(Y): { *, /, +, - }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }
i = 4
-----
FOLLOW(Prog): { $, end, and, then, else, ,, in, ) }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in, ) }
FOLLOW(ExpA): { ), end, and, then, else, ,, in }
FOLLOW(E1): { ), end, and, then, else, ,, in }
FOLLOW(T): { +, -, ), end, and, then, else, ,, in }
FOLLOW(T1): { +, -, ), end, and, then, else, , }
FOLLOW(F): { *, /, +, -, ), end, and, then, else, , }
FOLLOW(Y): { *, /, +, -, ) }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }
i = 5
-----
FOLLOW(Prog): { $, end, and, then, else, ,, in, ) }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in, ) }
FOLLOW(ExpA): { ), end, and, then, else, ,, in }
FOLLOW(E1): { ), end, and, then, else, ,, in }
FOLLOW(T): { +, -, ), end, and, then, else, ,, in }
FOLLOW(T1): { +, -, ), end, and, then, else, ,, in }
FOLLOW(F): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(Y): { *, /, +, -, ), end, and, then, else, , }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }
i = 6
-----
FOLLOW(Prog): { $, end, and, then, else, ,, in, ) }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in, ) }
FOLLOW(ExpA): { ), end, and, then, else, ,, in }
FOLLOW(E1): { ), end, and, then, else, ,, in }
FOLLOW(T): { +, -, ), end, and, then, else, ,, in }
FOLLOW(T1): { +, -, ), end, and, then, else, ,, in }
FOLLOW(F): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(Y): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }
i = 7
-----
FOLLOW(Prog): { $, end, and, then, else, ,, in, ) }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in, ) }
FOLLOW(ExpA): { ), end, and, then, else, ,, in }
FOLLOW(E1): { ), end, and, then, else, ,, in }
FOLLOW(T): { +, -, ), end, and, then, else, ,, in }
FOLLOW(T1): { +, -, ), end, and, then, else, ,, in }
FOLLOW(F): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(Y): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }
--- END
1 Prog::= let Bind in Exp end | letrec Bind in Exp end
2 Bind::= var = Exp X
3 X::= and Bind | epsilon
4 Exp ::= Prog | lambda(Seq_Var) Exp | ExpA | OPP(Seq_Exp) | if Exp then Exp else Exp
5 ExpA::= T E1
6 E1::= OPA T E1 | epsilon
7 T::= F T1
8 T1::= OPM F T1 | epsilon
9 F::= var Y | exp_const | (ExpA)
10 Y :: = (Seq_Exp) | epsilon
11 OPA::= + | -
12 OPM::= * | /
13 OPP::= cons | car | cdr | eq | leq | atom
14 Seq_Exp::= Exp Z | epsilon
15 Z::= , Seq_Exp | epsilon
16 Seq_Var ::= var Seq_var | epsilon
FIRST
-----
FIRST(Prog): { let, letrec }
FIRST(Bind): { var }
FIRST(X): { and, epsilon }
FIRST(Exp): { lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(ExpA): { var, exp_const, ( }
FIRST(E1): { epsilon, +, -}
FIRST(T): { var, exp_const, ( }
FIRST(T1): { epsilon, *, / }
FIRST(F): { var, exp_const, ( }
FIRST(Y): { (, epsilon }
FIRST(OPA): { +, - }
FIRST(OPM): { *, / }
FIRST(OPP): { cons, car, cdr, eq, leq, atom }
FIRST(Seq_Exp): { epsilon, lambda, if, let, letrec, cons, car, cdr, eq, leq, atom, var, exp_const, ( }
FIRST(Z): { ,, espilon }
FIRST(Seq_Var): { var, epsilon }
FOLLOW
------
FOLLOW(Prog): { $, end, and, then, else, ,, in, ) }
FOLLOW(Bind): { in }
FOLLOW(X): { in }
FOLLOW(Exp): { end, and, then, else, ,, in, ) }
FOLLOW(ExpA): { ), end, and, then, else, ,, in }
FOLLOW(E1): { ), end, and, then, else, ,, in }
FOLLOW(T): { +, -, ), end, and, then, else, ,, in }
FOLLOW(T1): { +, -, ), end, and, then, else, ,, in }
FOLLOW(F): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(Y): { *, /, +, -, ), end, and, then, else, ,, in }
FOLLOW(OPA): { var, exp_const, ( }
FOLLOW(OPM): { var, exp_const, ( }
FOLLOW(OPP): { ( }
FOLLOW(Seq_Exp): { ) }
FOLLOW(Z): { ) }
FOLLOW(Seq_Var): { ) }