Computer Science 3675
Fall 2014
Practice Questions for Quiz 5

  1. What is one important motivation for including exception handling in a programming language?

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  2. How is exception handling implemented in a typical language, such as Java?

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  3. Are backtracking and exception handling the same thing? For example, can you use the exception handling mechanism of Java to do backtracking?

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  4. Using backtracking, write a Cinnameg program fragment that will print all solutions (x,y) to equation xy − 2x2 + y = 10, where x and y are both integers in the range 0,...,100. Do not use a loop or recursion. Your program fragment can fail when it is done.

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  5. Unification is a form of pattern matching. Which of the following is not a characteristic of unification?

    1. Unification never changes the binding of a bound variable.
    2. Unification is symmetric; unifying A with B has exactly the same effect as unifying B with A.
    3. Unification is very slow, and is only used rarely during computations of logic programs.
    4. Unification can bind unbound variables.

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  6. True or false.

    1. When a variable occurs in a logic programming goal, the interpreter is being asked whether that goal holds for all values of the variable.

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    2. When a variable occurs in a logic programming axiom, the interpreter is being told that axiom holds for all values of the variable.

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    3. In logic programming, a variable in an axiom might be used as an input variable sometimes and as an output variable at other times, when computation uses that axiom.

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  7. Explain negation-as-failure. What is its goal, and how does it work?

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  8. Does negation-as-failure always do correct logical negation?

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  9. Show the logic programming search tree for goal (member(X,[3,4,5]), member(X,[4])), up to the point where a success is found. The definition of the member predicate is as follows, written in Prolog syntax.

          member(M, [M|X]).
          member(M, [X|T]) :- member(M, T).
    

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  10. In a logic programming style, write axioms for computing predicate prefix(X,Y), which is true just when list X is a prefix of list Y. For example, prefix([2,4,6], [2,4,6,8,10]) is true. Every list is a prefix of itself.

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  11. In a logic programming style, write axioms for computing predicate allsame(X), which is true just when all members of list X are the same. For example, allsame([5,5,5]) is true, as is allsame([a,a]), but allsame([2,4,4]) is false. Note that allsame([]) is true, and allsame([b]) is true.

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  12. In a logic programming style, write axioms for computing predicate samelength(X,Y), which is true just when X and Y are lists that have the same length.

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  13. Two individuals are cousins if they have a grandparent in common, but they are not the same person, and are not siblings. Using predicate grandparent(X, Y), meaning that X is a grandparent of Y, and predicate sibling(X, Y) meaning that X and Y are siblings, write a definition of cousin(X, Y) using Prolog notation, meaning that X and Y are cousins.

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  14. The append predicate is defined as follows in Prolog.

      append([], Y, Y).
      append([A|X], Y, [A|Z]) :- append(X, Y, Z).
    
    You would like to define a predicate double(X), which is true if list X has the form Y ++ Y, for some Y. For example, double([a,b,c,a,b,c]) is true, but double([a,b,c,a]) is false.

    Which of the following is a correct definition of double in Prolog?

    1. double(X) :- append(X,X,Y).
    2. double(X) :- append(Y,Y,X).
    3. double(X) :- append(X,Y,X).
    4. double(X) :- append(Y,X,X).

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  15. Using the correct definition of predicate double from the preceding exercise, can a Prolog interpreter handle goal double(Z), where Z is an unbound variable? If so, what will it do? If not, why not?

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  16. You would like to write a definition of predicate member, where member(X, L) is true if X is a member of list L. Which of the following is a correct definition of member?

    1. member(X, L) :- append(A, [X|B], L).
    2. member(X, L) :- append(X, Y, L).
    3. member(X, L) :- append(L, [X|Z], Y).
    4. member(X, L) :- append([X|L], Y, L).

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