can you please provide me the correct answer for First(S') First(A)
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I always get the wrong answer for these three, can you please provide me the correct answer for
First(S')
First(A)
(Please see the picture as well)
Step by step
Solved in 2 steps
- Consider the ambiguous grammar S → ABS | ABA → aA | λB → bB | λ What is the shortest string in L(S) other than λ that can be used to show the grammar is ambiguous? Write the string without any spaces or quotation marks. Now show the grammar ambiguous by giving two derivations for the string (each derivation should have a particular important property). Give the two shortest derivations you can find, writing the shorter one in the first box. Your derivations should begin with S, end with your chosen string, and only make one substitution per step. Do not include any spaces, quotes, or lambdas in your answer. Use the ">" character to represent the right arrow. For example, S>aSb>ab might be a legal derivation for a string in another language.Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s and b’s, and the set of b’s is consecutive in the string, e.g., ab, abba, aabb, abbbaa, aaabbbbbaa, etc. Note that ε ∈ L for completeness (0 number of a’s is equal to 0 number of b’s, which are also consecutive). Show that this language is context-free by giving a context-free grammar. I want a CFGConsider the grammar G below in the input alphabet {x, y, z, *}, with leading non-terminal S' in rule 1. S'→S $ S → E * F S → F E → x E → z F y F F → E a) Build the LR(1) automaton of grammar G. Is this grammar LR(1)? b) List the LR(1) items in the last automaton state reached (without performing reductions on the last character) when the input is: x* z zx zxy For this question, indicate the lookahead and the top of the stack, it is also necessary to list the states in the same order as the grammar rules. Also, list the lookaheads in the order {?, $, x, y, z, *} c) Check if G is LALR. If so, answer with the number of states eliminated in relation to the previous automaton. If not, answer with -1
- Hi guys, I was told in the class, you can determine wether the CFG grammar is ambiguous by following the predict recursive decent parser's restriction. Please refer to the images. for example G1: the First(aA) = {a} First(a) = {a} First(aA) intersect First(a) != empty set, therefore G1 should be ambiguous, but this is wrong, can I get some explanation why using this restriction rule is not working on this problem, thanksConsider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a’s and b’s, and the set of b’s is consecutive in the string, e.g., ab, abba, aabb, abbbaa, aaabbbbbaa, etc. Note that ε ∈ L for completeness (0 number of a’s is equal to 0 number of b’s, which are also consecutive). Show that this language is context-free by giving a context-free grammar. Please make sure to test the answers onhttps://web.stanford.edu/class/archive/cs/cs103/cs103.1156/tools/cfg/Consider the grammar G below in the input alphabet {num, *, /, -}, with non-terminal leading S' in rule 1. S'→S$ S→E - F F→E * E E→num E→num / num a) Build the G grammar automaton. Is this grammar LR(0)? b) If G is not LR(0), list the items present in the DFA state where the conflict occurs. c) Is this grammar SLR? d) If G is SLR, write the non-terminal follow that resolves the LR(0) conflict. (Separate the items in the set with “:”. Ex: a:b )
- Consider the context-free grammar S → ASA | AA → aA | ab When following the CFG-to-PDA conversion process learned in class, there is only one state in the resulting PDA that has a self-loop. Of all the PDA triples on this self-loop, write the shortest one that contains an "a" or a "b" anywhere in the triple in the box below (if there is more than one shortest, write any of them).Given the grammar E→ EF | x F→ PT | MT P→ + M→ - T → x If we were to parse the string x+x-x using the CYK algorithm, the entry {F} would appear in what position of the table? Group of answer choices X4,5 X1,4 X3,4 X1,3Consider the language L of strings over the alphabet Σ = {a, b} which contain an equal number of a's and b's, and the set of b's is consecutive in the string, e.g., ab, abba, aabb, abbbaa, aaabbbbbaa, etc. Note that ɛ € L for completeness (0 number of a's is equal to 0 number of b's, which are also consecutive). Show that this language is context-free by giving a context-free grammar.
- Consider the following context-free grammar:G = (N, Σ, P, S)N = {S, T}Σ = {a, b, c}Productions in P are:S →aSaS →TT →bTT →TcT →ε(4.a) Write down a derivation of the string abbca from the grammar G.(4.b) Draw a parse tree corresponding to the derivation from part a).(4.c) Is the grammar G ambiguous? Explain your answer.Consider the context-free grammar S → ABS | ABA → aA | aB → bB | b Give a leftmost derivation of the string "abab". Your derivations should begin with S, end with abab, and only make one substitution per step. Do not include any spaces, quotes, or lambdas in your answer. Use the ">" character to represent the right arrow. For example, S>aSb>ab might be a legal derivation for a string in another language. Hints: > should appear six times in your answer.Grammar and its application to FractalsLet G=(N,T,P,∑) where ∑ is the start symbol, N = {D}, T = {d, r, l}, andP = {∑→D, D→DrDllDrD, D → d} 1. Give the most specific type of grammar G.2. Show the leftmost derivation sequence of the string drdlldrd, (i.e. When deriving a new sentential form, always replace one Nonterminal at a time and always replace the leftmost Nonterminal)3. Suppose d is an abstraction of a command to draw a straight line of fixed length in the current direction, r is an abstraction of a command to turn right by 60 degrees, and l is an abstraction of a command to turn left by 60 degrees. Assuming that you are to start from a point and that the starting direction is to proceed horizontally to the right, show the figure represented by the generated string drdlldrd.4. The string drdlldrdrdrdlldrdlldrdlldrdrdrdlldrd can also be generated. Assuming that you are to start from a point and that the starting direction is to proceed horizontally to the right, show the figure…