Constraint Satisfaction Techniques for Combinatorial Problems

In recent years, constraint satisfaction problems (CSPs) have drawn much attention due to their applications to several areas In its more general form, constraint satisfaction problems of industrial research. This research focus has brought (CSPs) consist of a set of variables X each taking values in a torrent of positive results in areas like SAT solvers, satisfiability a domain D and a set of constraints C involving variables modulo theories, answer set programming, etc. in X and operations over these variables. For instance, in These results often rely on the fact that even though determining Boolean satisfiability problems the domain D takes the form the satisfiability of a constraint program is NPhard, of {, } and the constraints are expressed over the operations many industrial applications exhibit constraints that computers,, . In the case of integer linear programs (ILP), are able to deal with easily. Benchmarks stemming from the domain of the variables is the set of integers, and the these applications often showcase the advantages of the different constraints are inequalities over the operations of addition techniques presented, and seldom are there references and multiplication.