3 Production of lemmas in first order logic 10 The method "Model Elimination is a proof method very easy to implement and it is the reason of his success. To present it, we use the following references [OD97], [Don78] et [Sut12]. The last document presents clearly and concisely the production of the lemma. Without this help, it would have been impossible to write this explanation of the method ...

Newton’s iteration has quadratic convergence for simple roots. We present a Newton-based iteration scheme with quadratic convergence for multiple roots of systems of analytic functions. This is a report on work in progress. 1. Newton Iteration, Approximate Roots and γ-Theorems 1.1. Newton Iteration. Let f : Cn → Cn be an analytic function. Newton’s method for solving f = 0 consists in approxima...

Constraint based configuration challenges symmetry elimination methods known to the constraint solving community by introducing dynamics. We present here a significant improvement of an algorithm for generating canonical configurations. The new version fully exploits the incremental generation of canonical solutions both at the level of the canonicity test and in the tree ordering function, whi...

one of the problems that sometimes occur in gas allocation optimization is instability phenomenon. this phenomenon reduces the oil production and damages downhole and surface facilities. different works have studied the stability and suggested some solutions to override it, but most of them (such as making the well intelligent) are very expensive and thus they are not applicable to many cases. ...

Soft neighborhood substitutability (SNS) is a powerful technique to automatically detect and prune dominated solutions in combinatorial optimization. Recently, it has been shown in [26] that enforcing partial SNS (PSNS) during search can be worthwhile in the context of Weighted Constraint Satisfaction Problems (WCSP). However, for some problems, especially with large domains, PSNS is still too ...

We consider the scheme of indeenite constraint databases proposed by Koubarakis. This scheme can be used to represent indefinite information arising in temporal, spatial and truly spatiotemporal applications. The main technical problem that we address in this paper is the discovery of tractable classes of databases and queries in this scheme. We start with the assumption that we have a class of...

In an earlier paper we have shown, how one can successfully use constraint satisfaction techniques for proving and solving formulae in the first-order predicate language over the reals (i.e., real first-order constraints). This approach was restricted to inputs that contain inequality symbols such as ≤, but no equality symbols (=) or disequality symbols ( 6=). In this paper we lay the basis for...

A numerical elimination method is presented in this paper for floating-point computation in polynomial algebra. The method is designed to calculate one or more polynomials in an elimination ideal by a sequence of matrix rank/kernel computation. The method is reliable in numerical computation with verifiable stability and a sensitivity measurement. Computational experiment shows that the method ...

The efficient planning of contact tasks for intelligent robotic systems requires a thorough understanding of the kinematic constraints im on the system by C l J form analytic eolutionrr for the poeition and orientation of a pamive polygon moving in contact with two or three active polygonrr whoee itions and orientations are independently c o n t r o l E This is done by applying elimination tech...