generating permutations is non-trivial—you need data structures to store the permutations you are generating and control structures to visit all permutations in some order. In Prolog, permutations are deﬁned quite concisely, though with a bit of subtlety: perm(X,Y)will be true if list Yis a permutation of list X. Only two deﬁnitions are ...

### Benny benassi 2005

Sorting This lecture covers sort algorithms. ... It generates all permutations and then it tests if the permutation is a sorted list. ... Prolog implementation of ...

The predicate acceptable_permutation(L,R) should succeed only if R represents an acceptable permutation of the list L. Hint: [2,1,3] is not an acceptable permutation of the list [1,2,3] because 3 did not change its position.

### Whiskey high band

Sudoku puzzles are a popular number puzzle that turn out to be easily representable in Prolog. Typically, they are played on a 9-by-9 grid of cells, where the goal is to put the numbers 1 to 9 into each cell such that: Each row is a permutation of 1 to 9. Each column is a permutation of 1 to 9.

Why don't you look at how Prolog does it? See permutation/2 The idea is to convert both versions to a canonical form then compare. If they have the same canonical form then they can be a permutation of each other or identical to each other. – Guy Coder Mar 29 '17 at 15:40

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Prolog will respond . X = _7489 Z = [charlotte,caroline,laura,rose] But Object doesn't have to be a variable, it may just contain a variable that is in Goal. For example, we might decide that we want to build a new predicate fromMartha/1 that is true only of descendants of Martha. We could do this with the query:- Alain Colmeraur (Marseilles) invented Prolog in the early 70's David Warren - University of Edinburgh - implemented compiler for DEC PDP-10 The existence of a de facto language standard and widely available, efficient implementation was very important for language acceptance (compare with functional languages).
- A solution to this puzzle can be represented as a special permutation of the list [1,2,3,4]. For example, the solution pictured above can be represented as [3,1,4,2], meaning that, in the first row place a queen in column 3, in the second row place a queen in column 1, etc.
- Prolog list sorting routines suffer all of the relative space and time inefficiencies related with sorting dynamic structures, but often have very cogent specifications in Prolog. Exercise 2.7.9 Design a Prolog implementation of selection sort for lists of numbers.
- PROLOG. Lists in PROLOG.Operations and Predicates. Lists as Sequences, Sets, Bags. Meta Predicates. Antoni Ligeza˛ Katedra Automatyki, AGH w Krakowie 2011 Antoni Ligeza˛ Prolog 1/17
- Quick note: Prolog doesn't offer functions, but relations. In this case, perm/2 will hold true when the arguments are one the permutation of the other. I find this definition more readable than your. perm([], []). perm([E|Es], P) :- perm(Es, Q), select(E, P, Q). It's almost the same as that of permutation/2 SWI-Prolog, but hides a bug...
- Prolog list sorting routines suffer all of the relative space and time inefficiencies related with sorting dynamic structures, but often have very cogent specifications in Prolog. Exercise 2.7.9 Design a Prolog implementation of selection sort for lists of numbers.

- Combination is an arbitrary subset of the set containing given number of elements. The order of elements is irrelevant. It is possible to program generator of combinations without arithmetics. The following procedure comb2 assumes the list with N free variables as its second argument and it binds these variables.
- Sorting algorithms/Permutation sort You are encouraged to solve this task according to the task description, using any language you may know.
- Sorting algorithms/Permutation sort You are encouraged to solve this task according to the task description, using any language you may know.
- Sorting algorithms/Permutation sort You are encouraged to solve this task according to the task description, using any language you may know.