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Latin Cube Solver and Redundancy of Constraints Checker

Solver for Latin Cubes written in B-Prolog, by Zimcke Van de Staey & Tobias Verlinde

Latin Cube Problems

Latin cube problems can be inserted in problems.pl in the following formatting:

problem(
       [
       [[1,2,3,4],[2,_,_,_],[3,_,_,_],[4,_,_,_]],
       [[2,_,_,_],[_,_,_,_],[_,_,_,_],[_,_,_,_]],
       [[3,_,_,_],[_,_,_,_],[_,_,_,_],[_,_,_,_]],
       [[4,_,_,_],[_,_,_,_],[_,_,_,_],[_,_,_,_]]
       ]
       ).

Absent contraints

Absent constraints can be inserted in constraints.pl. Each constraint is identified through a fact of one the fowllowing three forms:

w(i,j)  % width-constraint for pos(i,j)
h(i,j)  % height-constraint for pos(i,j)
d(i,j)  % depth-constraint for pos(i,j)

Run

There are two different running modes.

  1. To find all solutions for a number of Latin cube problems use the query main.
  2. To find the first inccorect solution for a number of Latin cube problems (the solution is not Latin) use the query main2.

Output

  • The output of the program will be added in output.txt
  • Clear the output file with the command clear.

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Solver for Latin Cubes written in B-Prolog

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