Parsing
Q1.
Consider the following grammar along with translation rules. \begin{aligned} &S \rightarrow S_1 \# T & & \{S._{val}=S_{1.val}*T._{val} \} \\ &S \rightarrow T & & \{S._{val}=T._{val} \} \\ &T \rightarrow T_1 \% R & & \{T._{val}=T_{1.val} \div R._{val} \} \\ &T \rightarrow R & & \{T._{val}=R._{val} \} \\ &R \rightarrow id & & \{R._{val}=id._{val} \} \\ \end{aligned}Here \# and \% are operators and id is a token that represents an integer and id_{.val} represents the corresponding integer value. The set of non-terminals is \{S,T,R,P \} and a subscripted non-terminal indicates an instance of the non-terminal. Using this translation scheme, the computed value of S_{.val} for root of the parse tree for the expression 20 \# 10 \% 5 \# 8 \% 2 \% 2 isQ2.
Consider the augmented grammar with \{+, *, (, ), id \} as the set of terminals. \begin{aligned}&S' \rightarrow S \\ &S \rightarrow S+R|R \\ &R \rightarrow R*P|P \\ &P \rightarrow (S)|id \end{aligned}If I_0 is the set of two LR(0) items \{ [S' \rightarrow S.], [S \rightarrow S.+R] \}, then goto(closure(I_0 ),+) contains exactly ______ items.Q3.
Consider the following augmented grammar with \{ \#, @, <, >, a, b, c \} as the set of terminals. \begin{array}{l} S' \rightarrow S \\ S \rightarrow S \# cS \\ S \rightarrow SS \\ S \rightarrow S @ \\ S \rightarrow < S > \\ S \rightarrow a \\ S \rightarrow b \\ S \rightarrow c \end{array} Let I_0 = \text{CLOSURE}(\{S' \rightarrow \bullet S\}). The number of items in the set \text{GOTO(GOTO}(I_0 \lt ), \lt ) is ___________Q4.
A grammar is defined asA \rightarrow B CB \rightarrow x \mid B xC \rightarrow B \mid DD \rightarrow y \mid EyE \rightarrow zThe non terminal alphabet of the grammar isQ6.
Consider the following C code segment:a = b + c; e = a + 1; d = b + c; f = d + 1; g = e + f;In a compiler, this code segment is represented internally as a directed acyclic graph (DAG). The number of nodes in the DAG is _____________Q7.
Consider the following statements. S1: Every SLR(1) grammar is unambiguous but there are certain unambiguous grammars that are not SLR(1). S2: For any context-free grammar, there is a parser that takes at most O(n^3) time to parse a string of length n. Which one of the following options is correct?Q8.
Consider the augmented grammar given below: S'\rightarrow S S \rightarrow \lt L \gt |id L \rightarrow L,S|S Let I_0=CLOSURE(\{[S'\rightarrow \cdot S]\}) . The number of items in the set GOTO(I_0,\lt) is __________.Q10.
Consider the following given grammar: S \rightarrow Aa A \rightarrow BD B \rightarrow b|\epsilon D \rightarrow d|\epsilon Let a, b, d and $ be indexed as follows: Compute the FOLLOW set of the non-terminal B and write the index values for the symbols in the FOLLOW set in the descending order. (For example, if the FOLLOW set is {a, b, d, $}, then the answer should be 3210). Answer:_____