Paper on grammars | Computer Science homework help

Homework Paper Help

Objective:To acquire a comprehensive understanding of the application of grammars and formal language theory to computing languages.Given:

Consider the following set of productions:

P01:	FN	→	FN–HEAD FN–BODY
P02:	FN–HEAD	→	TYPE id ( PARAM–LIST )
P03:	TYPE	→	char
P04:	TYPE	→	int
P05:	TYPE	→	real
P06:	PARAM–LIST	→	TYPE id
P07:	PARAM–LIST	→	PARAM–LIST , TYPE id
P08:	FN–BODY	→	{ VAR–DECL STMT return ( EXPRESN ) ; }
P09:	VAR–DECL	→	λ
P10:	VAR–DECL	→	TYPE ID–LIST ;
P11:	VAR–DECL	→	VAR–DECL TYPE ID–LIST ;
P12:	ID–LIST	→	id
P13:	ID–LIST	→	ID–LIST , id
P14:	STMT	→	λ
P15:	STMT	→	SIMPLE–STMT
P16:	STMT	→	SELECT–STMT
P17:	STMT	→	REPEAT–STMT
P18:	STMT	→	SEQUENCE–STMT
P19:	SIMPLE–STMT	→	ASSIGN–STMT
P20:	SIMPLE–STMT	→	FN–CALL–STMT
P21:	ASSIGN–STMT	→	var = EXPRESN ;
P22:	EXPRESN	→	ARITH–EXP
P23:	EXPRESN	→	BOOL–EXP
P24:	ARITH–EXP	→	TERM
P25:	ARITH–EXP	→	ARITH–EXP ADD–OP TERM
P26:	ADD–OP	→	+
P27:	ADD–OP	→	–
P28:	TERM	→	FAC
P29:	TERM	→	TERM MUL–OP FAC
P30:	MUL–OP	→	*
P31:	MUL–OP	→	/
P32:	FAC	→	( ARITH–EXP )
P33:	FAC	→	OPD
P34:	OPD	→	var
P35:	OPD	→	const
P36:	BOOL–EXP	→	RELN–EXP
P37:	BOOL–EXP	→	LOGIC–EXP
P38:	RELN–EXP	→	OPD RELN–OPR OPD
P39:	RELN–OPR	→	==
P40:	RELN–OPR	→	!=
P41:	RELN–OPR	→	<
P42:	RELN–OPR	→	<=
P43:	RELN–OPR	→	>
P44:	RELN–OPR	→	>=
P45:	LOGIC–EXP	→	OPD LOGIC–OPR OPD
P46:	LOGIC–EXP	→	LOGIC–OPR OPD
P47:	LOGIC–OPR	→	and
P48:	LOGIC–OPR	→	or
P49:	LOGIC–OPR	→	not
P50:	FN–CALL–STMT	→	id ( ARG–LIST ) ;
P51:	ARG–LIST	→	λ
P52:	ARG–LIST	→	id
P53:	ARG–LIST	→	ARG–LIST , id
P54:	SELECT–STMT	→	if CONDITION STMT else STMT
P55:	CONDITION	→	( BOOL–EXP )
P56:	REPEAT–STMT	→	DO–STMT
P57:	REPEAT–STMT	→	WHILE–STMT
P58:	DO–STMT	→	do { STMT } while CONDITION ;
P59:	WHILE–STMT	→	while CONDITION do { STMT } ;
P60:	SEQUENCE–STMT	→	STMT STMT

Instructions:

(30 points) Rewrite the set of productions above in Extended Backus-Naur Form (EBNF).

(35 points) Using a Push Down Automaton (PDA), determine if the following function is valid code according to the given set of productions.

int Max ( int x, int y )
{
int z ;

if ( x >y )
z = x ;
else
z = y ;

return ( z ) ;
}

(35 points) Validate your answer in (2) by illustrating it with a derivation tree

Deliverable:

Submit a paper Times New Roman font, 12 pt., double-space lines). The project must contain an introduction which includes the purpose of the project.

I attached the answers to 1 and 2 just look to make sure correct and write a paper.

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Paper on grammars | Computer Science homework help

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