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Central issues of the Dirac constraint formalism are discussed in relation to the algorithmic methods of commutative algebra based on the Groebner basis techniques. For a wide class of finite dimensional polynomial degenerate Lagrangian…

Mathematical Physics · Physics 2007-05-23 V. Gerdt , A. Khvedelidze , Yu. Palii

Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry…

Artificial Intelligence · Computer Science 2009-09-18 George Katsirelos , Toby Walsh

We introduce a class of first-order methods for smooth constrained optimization that are based on an analogy to non-smooth dynamical systems. Two distinctive features of our approach are that (i) projections or optimizations over the entire…

Optimization and Control · Mathematics 2025-04-15 Michael Muehlebach , Michael I. Jordan

In this paper, we introduce a set of tools for providing user-friendly explanations in an explanation-based constraint programming system. The idea is to represent the constraints of a problem as an hierarchy (a tree). Users are then…

Programming Languages · Computer Science 2007-05-23 Narendra Jussien , Samir Ouis

In this paper we present a constructive proof of cut elimination for a system of full second order logic with the structural rules absorbed and using sets instead of sequences. The standard problem of the cutrank growth is avoided by using…

Logic · Mathematics 2016-06-22 Sandro Skansi

We show that for a system containing a set of general second class constraints which are linear in the phase space variables, the Abelian conversion can be obtained in a closed form and that the first class constraints generate a…

High Energy Physics - Theory · Physics 2008-11-26 Ricardo Amorim , Ashok Das

Accurately segmenting a citation string into fields for authors, titles, etc. is a challenging task because the output typically obeys various global constraints. Previous work has shown that modeling soft constraints, where the model is…

Computation and Language · Computer Science 2014-10-20 Sam Anzaroot , Alexandre Passos , David Belanger , Andrew McCallum

We perform the Hamiltonian analysis of non-linear massive gravity action studied recently in arXiv:1106.3344 [hep-th]. We show that the Hamiltonian constraint is the second class constraint. As a result the theory possesses an odd number of…

High Energy Physics - Theory · Physics 2015-05-30 J. Kluson

Abductive explanations (AXp's) are widely used for understanding decisions of classifiers. Existing definitions are suitable when features are independent. However, we show that ignoring constraints when they exist between features may lead…

Artificial Intelligence · Computer Science 2024-09-19 Martin Cooper , Leila Amgoud

It is crucial for robots to be aware of the presence of constraints in order to acquire safe policies. However, explicitly specifying all constraints in an environment can be a challenging task. State-of-the-art constraint inference…

Robotics · Computer Science 2024-03-06 Dimitris Papadimitriou , Daniel S. Brown

The gauge symmetries of a general dynamical system can be systematically obtained following either a Hamiltonean or a Lagrangean approach. In the former case, these symmetries are generated, according to Dirac's conjecture, by the first…

High Energy Physics - Theory · Physics 2007-05-23 Heinz J. Rothe , Klaus D. Rothe

We revisit the results on admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables under several appropriate gauges of the arbitrary elements…

Classical Analysis and ODEs · Mathematics 2024-09-19 Vyacheslav M. Boyko , Oleksandra V. Lokaziuk , Roman O. Popovych

We propose some new method of constructing configurations, which consists in consecutive inscribing copies of one underlying configuration. A uniform characterization of the obtained class and the one introduced in our paper untitled…

Combinatorics · Mathematics 2012-03-13 Krzysztof Petelczyc , Krzysztof Prażmowski

Although the CSP (constraint satisfaction problem) is NP-complete, even in the case when all constraints are binary, certain classes of instances are tractable. We study classes of instances defined by excluding subproblems. This approach…

Artificial Intelligence · Computer Science 2012-01-19 Martin C. Cooper , Guillaume Escamocher

We introduce the chain geometry $\Sigma(K,R)$ over a ring $R$ with a distinguished subfield $K$, thus extending the usual concept where $R$ has to be an algebra over $K$. A chain is uniquely determined by three of its points, if, and only…

Algebraic Geometry · Mathematics 2024-02-13 Andrea Blunck , Hans Havlicek

The first-order theory of a string automatic structure is known to be decidable, but there are examples of string automatic structures with nonelementary first-order theories. We prove that the first-order theory of a string automatic…

Logic in Computer Science · Computer Science 2008-10-29 Dietrich Kuske , Markus Lohrey

The reduction of constraints to obtain minimal representations of sets is a very common problem in many engineering applications. While well-established methodologies exist for the case of linear constraints, the problem of how to detect…

Systems and Control · Electrical Eng. & Systems 2020-06-29 Andres Cotorruelo , Ilya Kolmanovsky , Daniel R. Ramírez , Daniel Limon , Emanuele Garone

Classification of datasets into two or more distinct classes is an important machine learning task. Many methods are able to classify binary classification tasks with a very high accuracy on test data, but cannot provide any easily…

Machine Learning · Computer Science 2020-08-26 Yashesh Dhebar , Sparsh Gupta , Kalyanmoy Deb

We provide here a proof theoretic account of constraint programming that attempts to capture the essential ingredients of this programming style. We exemplify it by presenting proof rules for linear constraints over interval domains, and…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt

We propose a procedure for automated implicit inductive theorem proving for equational specifications made of rewrite rules with conditions and constraints. The constraints are interpreted over constructor terms (representing data values),…

Logic in Computer Science · Computer Science 2008-12-01 Adel Bouhoula , Florent Jacquemard
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