Consider the grammar S → aSaS | A It is ambiguous. What is the shortest string in L(S) that can be used to show the grammar is ambiguous? Write the string without any spaces. One way to show the grammar ambiguous is to give two derivations for your string with a particular property. Write the shorter of your derivations here (ie, fewest characters in the derivation): Give another derivation here: Your derivations should begin with S, end with your chosen shortest string from L(S) that shows ambiguity, and only make one substitution per step. Do not include any spaces 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.

Java grammar questions:   Find the shortest <synchronized statement>.   No derivation required. Give the last string.   Can Java files have import statements anywhere? Grammar-justify your response.

Develop a system/application in Prolog that will allow grader to: load a set of student’s grades (see samples from the Table C below) query student’s final letter grade (A, B, C, etc.) by a given student’s name. query student(s) whose grade matches to the input letter grade (e.g., A). For example, show student(s) whose final letter grade is A. There are 3 types of grades for each student—HWs, Exams, and Project, with a weight of 20%, 40% and 40%, respectively, to the 100-point final. Table A and B show how the final grades (in points and letter) are computed. Table C shows samples of students’ grades. You will define the execution instructions to answer the following questions so that grader can test out your application in Prolog: how to load your source code to Prolog runtime/compiler how to load students’ grades to Prolog runtime/compiler how to query student’s letter grade how to query student(s) whose letter grade matches to an input letter grade Please DO NOT hard code any…

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)

Can you please help me with this problem because I am struggling big time with this. I only need help with part D can you please show it step by step the context free solution part D. Can you please do it step by step leading up to the solution.Again I only need help with is with part D and only part D.

Generate a unique regular expression. You regular expression must have all three operators for regular languages (union, concatenation, Kleene star). The using the construction method outlined in Kleene's theorem part 1, convert your regular expression into an NFA. Be sure that the NFA retains the structural elements of the conversion of each of the operators (with the exception of the elimination of null transitions between the concatenation of single symbol NFAs)

In using, lists as sets, we wish to judge the list (a b c) and (b c a) as equal because they contain the same elements. Also, we wish to judge sets that contain sets, such as ( a (b c d) e), to be equal to ( e a (c d b)). Implement a scheme predicate called set-equal? that takes as input two lists representing sets and returns true if the lists represent the same set and false otherwise. The difference between this predicate and the one discussed in detail in class is that this predicate will support sets of sets to any degree of nesting, e.g., sets of sets of sets. Thus, the call (set-equal? ‘(a (b (c d))) ‘( ((d c) b) a)))) should return #t and the call (set-equal? ‘(a (b (c d))) ‘( (d c b) a)))) should return #f.  Racket code only please. No loops or hash.

What is the FA corresponding to the language of strings, over alphabet {a, b}, that start with a and end with b or start with b and end with a.

Let G be the context-free grammar below. Use the brute force parsing algorithm studied in class to prove that w = aab does not belong to L(G). Do not use other methods. Show all work in all rounds needed. Label the rounds. [Hint: The number of rounds aS | BS | a; B ->bB | b

pls write in prolog and answer with code, its better the show your test result also, thank you so much!