Download PDF by Justyna Petke: Bridging Constraint Satisfaction and Boolean Satisfiability

By Justyna Petke

This publication presents an important step in the direction of bridging the parts of Boolean satisfiability and constraint pride by way of answering the query why SAT-solvers are effective on convinced sessions of CSP circumstances that are not easy to resolve for normal constraint solvers. the writer additionally offers theoretical purposes for selecting a selected SAT encoding for numerous vital sessions of CSP instances.

Boolean satisfiability and constraint pride emerged independently as new fields of desktop technological know-how, and diverse fixing innovations became usual for challenge fixing within the components. even if any propositional formulation (SAT) may be considered for example of the overall constraint delight challenge (CSP), the consequences of this connection have basically been studied within the previous couple of years.

The e-book can be valuable for researchers and graduate scholars in synthetic intelligence and theoretical computing device technology.

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Extra resources for Bridging Constraint Satisfaction and Boolean Satisfiability

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Moreover, as the ordering can be set in the input file, the question arises as to whether those adjustments could be automatically identified by the translators as part of the preprocessing. 7 Summary We believe that the results presented in this chapter have established that the various ideas about different forms of tractable constraint satisfaction instances presented in the theoretical literature can provide a fruitful source of inspiration for the design of challenging benchmark instances.

Again, once after some variable assignment any of the watched literals evaluates to false, another one is looked for in the clauses which contain that literal. If one is found that is different from the other watched literal, the process continues. If the only choice is the other watched literal, then it is set to True if it has not already been assigned that value. If no non-false literal is found, then the clause is conflicting. The good thing about this approach is that during backtracking the pointers are not changed.

What is particularly interesting about this form of constraint, for our purposes, is that the efficient algorithm for 0/1/all constraints is based on achieving pathconsistency [CCJ94], which is not implemented in standard constraint solvers. To investigate whether instances with 0/1/all constraints are solved efficiently in practice by standard constraint solvers, even without explicitly using pathconsistency, we wrote a generator for satisfiable CSP instances with 0/1/all constraints of various kinds on n variables.

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