# Bridging Constraint Satisfaction and Boolean Satisfiability by Justyna Petke

By Justyna Petke

This booklet presents an important step in the direction of bridging the parts of Boolean satisfiability and constraint delight by means of answering the query why SAT-solvers are effective on definite sessions of CSP situations that are demanding to unravel for traditional constraint solvers. the writer additionally supplies theoretical purposes for selecting a specific SAT encoding for numerous very important sessions of CSP instances.

Boolean satisfiability and constraint delight emerged independently as new fields of machine technology, and diversified fixing options became regular for challenge fixing within the parts. although any propositional formulation (SAT) should be seen as an example of the overall constraint delight challenge (CSP), the consequences of this connection have basically been studied within the previous few years.

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

Similar machine theory books

Process Algebra for Parallel and Distributed Processing

Collects the most recent learn related to the appliance of strategy Algebra to Computing Exploring cutting-edge purposes, technique Algebra for Parallel and dispensed Processing exhibits how one formal approach to reasoningвЂ”process algebraвЂ”has develop into a strong device for fixing layout and implementation demanding situations of concurrent structures.

Essential Discrete Math for Computer Science

This e-book introduces readers to the maths of desktop technological know-how and prepares them for the maths they are going to come upon in different university classes. It comprises purposes which are particular to laptop technology, is helping newbies to boost reasoning talents, and offers the basic arithmetic precious for computing device scientists.

How Noble in Reason

Synthetic Intelligence has already pervaded our lives in such a lot of refined methods, yet how will people react to the construction of a totally sentient great laptop: a hyper-intelligent mind with out a physique who's as omniscient and omnipresent because the net itself? How will humans strategy whatever that's distinguishable from a human simply in its visual appeal?

Pristine Perspectives on Logic, Language, and Computation: ESSLLI 2012 and ESSLLI 2013 Student Sessions. Selected Papers

The ecu summer season university in good judgment, Language and knowledge (ESSLLI) is geared up each year through the organization for common sense, Language and data (FoLLI) in numerous websites round Europe. the main target of ESSLLI is at the interface among linguistics, good judgment and computation. ESSLLI bargains foundational, introductory and complicated classes, in addition to workshops, protecting a wide selection of themes in the 3 parts of curiosity: Language and Computation, Language and good judgment, and common sense and Computation.

Extra info for Bridging Constraint Satisfaction and Boolean Satisfiability

Example text

Hence SAT-solvers usually implement some mechanism for removing redundant conflict clauses. BerkMin [GN02] solver counts the number of conflicts each clause has been involved in recently. Another heuristic deletes clauses that contain many non-false literals [BS97]. 5 Hybrid solvers and SMT-solvers SAT-solvers can actually be used for deciding the satisfiability of CSP instances. Such SAT-based solvers first translate the input instance into SAT and then use a SAT-solver. We will call such solvers SAT-based constraint solvers.

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. This is because the literals being watched are the last to be assigned to False, so at backtracking they will become unassigned and hence can still be watched.

In the experimental results recorded here we ask the solvers to solve the search problem. The time complexity of this search problem is at most exponential in the size of the input, since the size of the total search space for possible solutions is jDjjVj . Moreover, if we assume that each constraint is represented in such a way that checking whether a given assignment satisfies a given constraint can be completed in polynomial-time, then CSP clearly belongs to the problem class NP, since an 1 DIMACS CNF is the standard input format for encoding CNF formulae.