Values, Types, and Mappings Quiz
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Questions and Answers

Arrays in imperative and object-oriented programming languages can be understood as mappings from type S to type T?

True

The cardinality of S → T is always equal to #(S) multiplied by #(T)?

False

A mapping m : S → T means that every value in set S is mapped to every value in set T?

False

If m1 = {u → a, v → c} and m2 = {u → c, v → c}, then the image of v under m1 is c?

<p>True</p> Signup and view all the answers

In Ada, the index range for arrays may include Float as a primitive (sub)type.

<p>False</p> Signup and view all the answers

The type of a function with a single argument of type S and its result of type T is represented as S → T.

<p>True</p> Signup and view all the answers

The type declaration 'type Pixel is array (Color) of Boolean;' creates an array of Booleans indexed by the elements of 'Color'.

<p>True</p> Signup and view all the answers

"type Xrange is range 0 .. 511; type Yrange is range 0 .. 255; type Window is array (YRange, XRange) of Pixel;" The cardinality of the 'Window' type, which is an array of 'Pixel', is 8^256 × 512.

<p>True</p> Signup and view all the answers

In a disjoint union, a value is chosen from one of several different types represented by S + T.

<p>True</p> Signup and view all the answers

What is the cardinality of the type 'Integer-List' defined as nil + cons(Integer × Integer-List)?

<p>Uncountably infinite</p> Signup and view all the answers

In the context of lists, what does it mean for a list to be heterogeneous?

<p>The components in the list are of different types</p> Signup and view all the answers

What is the primary characteristic of a recursive type?

<p>It is defined in terms of itself</p> Signup and view all the answers

In the context of lists, what is the purpose of the tail of a non-empty list?

<p>It contains all but the first component of the list</p> Signup and view all the answers

What differentiates a composite type from a primitive type?

<p>Composite types consist of multiple other types, while primitive types do not</p> Signup and view all the answers

Which of the following best describes the data structure used in the given Java list class declaration?

<p>Linked list with integer data and a reference to the next linked list node</p> Signup and view all the answers

"type IntNode; type IntList is access IntNode; type IntNode is record data: Integer; tail: IntList; end record;" In the given Ada list type declaration, what does the 'access' keyword indicate about the 'IntList'?

<p>It indicates that 'IntList' is a pointer to another 'IntNode'</p> Signup and view all the answers

What is the fundamental difference between how strings are treated in Haskell and Ada?

<p>Haskell treats strings as lists of characters, while Ada treats strings as arrays of characters</p> Signup and view all the answers

Which programming languages are examples of statically typed languages?

<p>Ada and Haskell</p> Signup and view all the answers

What is the distinguishing feature of dynamically typed programming languages?

<p>Values have fixed types, but variables and expressions do not</p> Signup and view all the answers

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