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Puzzles such as eight queens puzzle, crosswords, verbal arithmetic, Sudoku [nb 1], and Peg Solitaire. Combinatorial optimization problems such as parsing and the knapsack problem. Goal-directed programming languages such as Icon, Planner and Prolog, which use backtracking internally to generate answers.
The GNU Prolog program below resolved a 100 queens problem in less than a tenth of a second. is meaningless without a frame of reference. Giving at least the processor used for the test and the time of a slower algorithm would help matters greatly. Andrew J. MacDonald 03:51, 30 November 2006 (UTC)
Nauck also extended the puzzle to the n queens problem, with n queens on a chessboard of n×n squares. Since then, many mathematicians, including Carl Friedrich Gauss, have worked on both the eight queens puzzle and its generalized n-queens version. In 1874, S. Günther proposed a method using determinants to find solutions. [1]
A logic program is a set of sentences in logical form, representing knowledge about some problem domain. Computation is performed by applying logical reasoning to that knowledge, to solve problems in the domain. Major logic programming language families include Prolog, Answer Set Programming (ASP) and Datalog.
Animation of min-conflicts resolution of 8-queens. First stage assigns columns greedily minimizing conflicts, then solves. Min-Conflicts solves the N-Queens Problem by selecting a column from the chess board for queen reassignment. The algorithm searches each potential move for the number of conflicts (number of attacking queens), shown in each ...
In 1983, David H. D. Warren designed an abstract machine for the execution of Prolog consisting of a memory architecture and an instruction set. [ 1 ] [ 2 ] [ 3 ] This design became known as the Warren Abstract Machine (WAM) and has become the de facto standard target for Prolog compilers .
This generates sentences such as "the cat eats the bat", "a bat eats the cat". One can generate all of the valid expressions in the language generated by this grammar at a Prolog interpreter by typing sentence(X,[]). Similarly, one can test whether a sentence is valid in the language by typing something like sentence([the,bat,eats,the,bat],[]).
The following Comparison of Prolog implementations provides a reference for the relative feature sets and performance of different implementations of the Prolog computer programming language. A comprehensive discussion of the most significant Prolog systems is presented in an article published in the 50-years of Prolog anniversary issue of the ...