Download Abstract Domains in Constraint Programming by Marie Pelleau PDF

By Marie Pelleau

Constraint Programming goals at fixing not easy combinatorial difficulties, with a computation time expanding in perform exponentially. The tools are this day effective sufficient to unravel huge commercial difficulties, in a popular framework. even though, solvers are devoted to a unmarried variable sort: integer or genuine. fixing combined difficulties depends upon advert hoc modifications. In one other box, summary Interpretation deals instruments to turn out software houses, by way of learning an abstraction in their concrete semantics, that's, the set of attainable values of the variables in the course of an execution. numerous representations for those abstractions were proposed. they're known as summary domain names. summary domain names can combine any kind of variables, or even signify family members among the variables.

In this paintings, we outline summary domain names for Constraint Programming, with a purpose to construct a regular fixing approach, facing either integer and genuine variables. We additionally research the octagons summary area, already outlined in summary Interpretation. Guiding the hunt via the octagonal relatives, we receive stable effects on a continuing benchmark. We additionally outline our fixing technique utilizing summary Interpretation suggestions, as a way to contain current summary domain names. Our solver, AbSolute, is ready to remedy combined difficulties and use relational domains.

  • Exploits the over-approximation how you can combine AI instruments within the equipment of CP
  • Exploits the relationships captured to unravel non-stop difficulties extra effectively
  • Learn from the builders of a solver able to dealing with virtually all summary domains

Show description

Read Online or Download Abstract Domains in Constraint Programming PDF

Best software design & engineering books

The Handbook of Mobile Middleware

Equipment miniaturization, instant computing, and cellular conversation are riding ubiquitous, pervasive, and obvious computing. assisting those quickly evolving applied sciences calls for middleware recommendations that handle connectivity-level, location-dependent, and context-dependent concerns. The instruction manual of cellular Middleware is an exhaustive evaluation of contemporary advancements within the a variety of fields on the topic of this infrastructure software program.

Creating Mac Widgets with Dashcode (Firstpress)

With the arrival of Mac OSX Leopard and Dashcode, it has develop into really easy to put in writing your personal widgets (small courses that sometimes do one task). Even enterprise humans can write little courses to do such things as graph revenues that immediately replace. So this booklet is written for all clients who should want to create their very own widgets.

Practical Rails Social Networking Sites (Expert's Voice)

This e-book ties jointly the preferred framework Ruby on Rails with one other scorching idea - social networking web content comparable to MySpace and fb. Social networking is a kingpin of the net 2. zero revolution sweeping the net instantly. because of its versatility, utilizing Ruby on Rails to construct and hold social networking websites is the correct partnership.

Web Standards Creativity: Innovations in Web Design with XHTML, CSS, and DOM Scripting

Be encouraged through 10 website design classes from 10 of the world's most sensible net designers Get inventive with state-of-the-art XHTML, CSS, and DOM scripting ideas examine breathtaking layout talents whereas closing standards-compliant right here at acquaintances of ED, we all know that as an online clothier or developer, your paintings contains greater than simply operating to pay the money owed.

Extra info for Abstract Domains in Constraint Programming

Sample text

This new resolution scheme no longer depends on the type of the variables. Moreover, the definition of the abstract domains in CP gives the possibility of solving problems using non-Cartesian domain representations. 1. Introduction In CP, solving techniques strongly depend on the type of variables, and are even dedicated to a type of variables (integer or real). If a problem contains both integer and real variables, there are no solving methods. There are three possible solutions to this kind of problem with CP: the integers are transformed into real variables and integrity constraints are added to the problem (the propagation of these new constraints refine the bound of the integer variables [GRA 06]); the real varibales are discretized, the possible values for the real variables are enumerated with a given step [CHO 10]; or a discrete and a continuous solver are combined [COL 94, FAG 14] By looking more closely, we can see that regardless of the resolution method used, it alternates between propagation and 54 Abstract Domains in Constraint Programming exploration phases.

Satisfying the constraints. The CSP solutions are the elements of D ˆ | ∀i ∈ We denote by S the solution set S = {(s1 . . sn ) ∈ D State of the Art 1, p , Ci (s1 . . sn )}. For a constraint C, we ˆ | C(s1 . . sn )} as the solution set for C. SC = {(s1 . . – Let us consider the following 4 × 4 Sudoku grid: 3 1 4 1 2 1 A possible model is to associate to each cell a variable as follows: v1 v2 v3 v4 v5 v6 v7 v8 v9 v10 v11 v12 v13 v14 v15 v16 Each variable can take a value between 1 and 4. Thus, we have ˆ1 = D ˆ2 = · · · = D ˆ 16 = 1, 4 .

To represent several variables, we use a Cartesian product of the selected domain. The best known in this area is the intervals abstract domain [COU 76] where each variable is represented with an interval of possible values for this variable. In the other two families of abstract domains, we can, as their name suggests, have relationships between variables. Relational domains are very expressive. There exists a large diversity of these abstract domains. For instance, there is the polyhedra abstract domain [COU 78], which expresses linear relationships between variables, and the ellipsoids abstract domain [FER 04], which expresses second-degree polynomials of ellipses.

Download PDF sample

Rated 4.42 of 5 – based on 24 votes

Published by admin