How to Define Sort(List,Sorted) In Prolog?

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In Prolog, the predicate sort/2 can be used to define a predicate that sorts a list of elements in a specific order. The first argument of the sort/2 predicate is the list that needs to be sorted, and the second argument is the sorted version of the list.


To define a sort predicate in Prolog, you can use the following code snippet:

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sort(List, Sorted) :- permutation(List, Sorted), is_sorted(Sorted).

is_sorted([]).
is_sorted([_]).
is_sorted([X,Y|Rest]) :- X =< Y, is_sorted([Y|Rest]).


In this code, the sort predicate first generates all permutations of the input list using the permutation/2 predicate, and then checks if the resulting list is sorted using the is_sorted predicate. The is_sorted predicate recursively checks if the elements of the list are in non-decreasing order.


You can call the sort predicate with an unsorted list and a variable to get the sorted version of the list.


What is the default behavior of sort predicate in Prolog?

The default behavior of the sort predicate in Prolog is to sort a list of elements in ascending order.


How to define sort function in Prolog?

In Prolog, the sort function can be defined using the built-in predicate sort/2. This predicate takes a list as its first argument and returns the sorted version of that list as its second argument.


Here is an example of defining a sort function in Prolog using sort/2:

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sort_list(List, SortedList) :-
    sort(List, SortedList).


This predicate sort_list/2 takes a list List as its first argument and returns the sorted list SortedList as its second argument. It achieves this by using the sort/2 predicate, which performs the actual sorting operation.


You can then use this predicate to sort lists in Prolog like this:

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?- sort_list([3, 1, 4, 1, 5, 9, 2, 6, 5], SortedList).
SortedList = [1, 1, 2, 3, 4, 5, 5, 6, 9].



How to define sorted function in Prolog?

In Prolog, the sorted function can be defined as a predicate that takes a list of elements as input and checks if the list is sorted in ascending order. The predicate can be defined recursively by comparing each element with its successor in the list.


Here is an example implementation of a sorted predicate in Prolog:

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sorted([]).
sorted([_]).
sorted([X,Y|T]) :-
    X =< Y,
    sorted([Y|T]).


In this implementation:

  • The base case states that an empty list or a list with a single element is considered sorted.
  • In the recursive case, it checks if the first element X is less than or equal to the second element Y, and then recursively calls the predicate with the rest of the list ([Y|T]).


To use the sorted predicate in Prolog, you can query it with a list of elements:

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?- sorted([1,2,3,4,5]).
true.

?- sorted([1,3,2,4,5]).
false.


These queries will return true if the list is sorted in ascending order, and false otherwise.


What is the output of sorted predicate in Prolog?

The sorted predicate in Prolog is used to check if a list is sorted in ascending order. It does not sort the list itself.


The output of the sorted predicate will be true if the list is sorted in ascending order, and false otherwise.


What is the difference between sort and sorted predicates in Prolog?

In Prolog, the sort/2 predicate is used to remove duplicate elements from a list and reorder the remaining elements in ascending order. It takes a list as its first argument and unifies the second argument with the sorted version of the list.


For example:

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?- sort([3,1,2,3,3,1,4], SortedList).
SortedList = [1, 2, 3, 4]


The sorted/2 predicate is not a built-in predicate in Prolog. It may be implemented by the user if needed to compare whether a list is sorted in ascending order. This predicate would take a list as its first argument and return true if the list is sorted in ascending order, false otherwise.


For example, an implementation of sorted/2 could look like this:

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sorted([], _).
sorted([_], _).
sorted([X,Y|Rest], Order) :- Order >= X, Order=< Y, sorted([Y|Rest], Order).


Usage:

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?- sorted([1,2,3,4], _).
true.

?- sorted([4,2,3,1], _).
false.


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