Read e-book online Abstract Domains in Constraint Programming PDF

By Marie Pelleau

ISBN-10: 1785480103

ISBN-13: 9781785480102

Constraint Programming goals at fixing demanding combinatorial difficulties, with a computation time expanding in perform exponentially. The equipment are at the present time effective sufficient to unravel huge commercial difficulties, in a popular framework. even if, solvers are devoted to a unmarried variable kind: integer or genuine. fixing combined difficulties will depend on advert hoc changes. In one other box, summary Interpretation bargains 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 form of variables, or even signify kin among the variables.

In this paintings, we outline summary domain names for Constraint Programming, with the intention to construct a customary fixing procedure, facing either integer and genuine variables. We additionally examine the octagons summary area, already outlined in summary Interpretation. Guiding the quest through the octagonal kin, we receive strong effects on a continual benchmark. We additionally outline our fixing procedure utilizing summary Interpretation concepts, so that it will comprise present summary domain names. Our solver, AbSolute, is ready to clear up combined difficulties and use relational domains.

  • Exploits the over-approximation the right way to combine AI instruments within the equipment of CP
  • Exploits the relationships captured to resolve 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

Similar software design & engineering books

Paolo Bellavista's The Handbook of Mobile Middleware PDF

Equipment miniaturization, instant computing, and cellular conversation are riding ubiquitous, pervasive, and obvious computing. assisting those swiftly evolving applied sciences calls for middleware ideas that deal with connectivity-level, location-dependent, and context-dependent concerns. The instruction manual of cellular Middleware is an exhaustive evaluate of modern advancements within the numerous fields concerning this infrastructure software program.

Read e-book online Asynchronous Digital Circuit Design PDF

Because the expenses of energy and timing develop into more and more tricky to control in conventional synchronous structures, designers are being compelled to examine asynchronous possible choices. in accordance with remodeled and elevated papers from the VII Banff greater Order Workshop, this quantity examines asynchronous equipment that have been utilized in huge circuit layout, starting from preliminary formal specification to extra normal finite kingdom computer established keep an eye on versions.

Get Professional Microsoft Search: FAST Search, SharePoint PDF

Use Microsoft's newest search-based technology-FAST search-to plan, customise, and installation your seek solutionFAST is Microsoft's most modern clever search-based expertise that boasts robustness and a capability to combine company intelligence with seek. This in-depth advisor will give you complicated insurance on quick seek and exhibits you the way to exploit it to plot, customise, and set up your seek answer, with an emphasis on SharePoint 2010 and Internet-based seek ideas.

Download e-book for iPad: A Calculus of Ideas: A Mathematical Study of Human Thought by Ulf Grenander

This monograph studies a proposal test with a mathematical constitution meant to demonstrate the workings of a brain. It provides a mathematical thought of human concept in line with trend idea with a graph-based method of considering. the strategy illustrated and produced through vast machine simulations is expounded to neural networks.

Extra resources for Abstract Domains in Constraint Programming

Sample text

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 specify that a cell has a fixed D ˆ 3 = {1} or add the constraint value, we can either modify its domain D v3 = 1.

Note that even if ρ is not an optimal abstraction of ρ , Yδ may be significantly more precise than ρ (X ). A relevant application is the analysis of complex test conjunction C1 ∧ · · · ∧ Cp , where each atomic test Ci is modeled in the abstract as ρi . Generally, ρ = ρ1 ◦ · · · ◦ ρp is not optimal, even when each ρi is. Lower closure operators may be reformulated as a fixpoint. This unifies the use of narrowings and brings out the similarities in the iterative computations. Given an element X, ρ computes the greatest fixpoint smaller than X, that is ρ(X) = gfpX ρ.

Indeed, by replacing v1 and v2 by their domains, we have [0, 2]+[0, 2] = [0, 4], and so [0, 4] ≤ 6 is true since any point of the interval [0, 4] is less than or equal to 6. The second constraint C2 answers false, indeed [0, 2] − [0, 2] = [−2, 2] and the condition [−2, 2] ≥ 4 is always false. As for the last constraint, it answers maybe: we have [−2, 2] = 0, the only possible deduction is that there are perhaps values of v1 and v2 for which the constraint is satisfied. 3. Solutions and approximations Given a problem, we try to solve it, that is, to find a solution.

Download PDF sample

Abstract Domains in Constraint Programming by Marie Pelleau


by John
4.2

Rated 4.98 of 5 – based on 18 votes