ASP is optimized for combinatorial problems. Basically, you list the parts that are variable, and the constraints, the answers are given by the solver. Have a look at the documentation[0]. Here is an example:
% Each shift needs a nurse).
1 { shift_nurse(Shift, Nurse): nurse(Nurse) } 1 :- shift(shift).
% It cannot be that a nurse does two shifts in a row.
:- nurse(Nurse), shift_nurse(Shift1,Nurse),shift_nurse(Shift2,Nurse), Shift1 + 1 = Shift2.
[0] https://potassco.org/doc/start/