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Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of particular use in dependently typed programming are indexed types that refine data by computationally useful…

Logic in Computer Science · Computer Science 2015-07-01 Robert Atkey , Patricia Johann , Neil Ghani

Many companies and organizations use firewalls to control the access to their network infrastructure. Firewalls are network security components which provide means to filter traffic within corporate networks, as well as to police incoming…

Cryptography and Security · Computer Science 2019-12-17 Frédéric Cuppens , Nora Cuppens-Boulahia , Joaquin Garcia-Alfaro

We present the Refinement Calculus of Reactive Systems Toolset, an environment for compositional modeling and reasoning about reactive systems, built on top of Isabelle, Simulink, and Python.

Logic in Computer Science · Computer Science 2018-02-26 Iulia Dragomir , Viorel Preoteasa , Stavros Tripakis

Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for LF in the style of recent formulations where only canonical…

Programming Languages · Computer Science 2015-07-01 William Lovas , Frank Pfenning

The refinement calculus for logic programs is a framework for deriving logic programs from specifications. It is based on a wide-spectrum language that can express both specifications and code, and a refinement relation that models the…

Logic in Computer Science · Computer Science 2007-05-23 Robert Colvin , Ian J. Hayes , Paul Strooper

In this paper we propose a calculus for expressing algorithms for programming languages transformations. We present the type system and operational semantics of the calculus, and we prove that it is type sound. We have implemented our…

Programming Languages · Computer Science 2019-10-29 Benjamin Mourad , Matteo Cimini

We study the reformulation of integer linear programs by means of a mixed integer linear program with fewer integer variables. Such reformulations can be solved efficiently with mixed integer linear programming techniques. We exhibit…

Optimization and Control · Mathematics 2017-04-14 Jörg Bader , Robert Hildebrand , Robert Weismantel , Rico Zenklusen

In many inverse problems it is essential to use regularization methods that preserve edges in the reconstructions, and many reconstruction models have been developed for this task, such as the Total Variation (TV) approach. The associated…

Numerical Analysis · Mathematics 2014-06-05 Donghui Chen , Misha E. Kilmer , Per Christian Hansen

Particle filters are a powerful and flexible tool for performing inference on state-space models. They involve a collection of samples evolving over time through a combination of sampling and re-sampling steps. The re-sampling step is…

Computation · Statistics 2017-03-17 Deborshee Sen , Alexandre Thiery , Ajay Jasra

Group Theory techniques can aid greatly the determination of magnetic structures. The integration of their calculations into new and existing refinement programs is an ongoing development that will simplify and make more rigorous the…

Materials Science · Physics 2009-11-07 A. S. Wills

The refinement calculus provides a methodology for transforming an abstract specification into a concrete implementation, by following a succession of refinement rules. These rules have been mechanized in theorem-provers, thus providing a…

Software Engineering · Computer Science 2011-12-02 Andreas Griesmayer , Zhiming Liu , Charles Morisset , Shuling Wang

Substructural type systems, such as affine (and linear) type systems, are type systems which impose restrictions on copying (and discarding) of variables, and they have found many applications in computer science, including quantum…

Logic in Computer Science · Computer Science 2021-01-27 Vladimir Zamdzhiev

Mathematics has many useful properties for developing of complex software systems. One is that it can exactly describe a physical situation of the object or outcome of an action. Mathematics support abstraction and this is an excellent…

Software Engineering · Computer Science 2010-04-19 Manoranjan Kumar Singh , Rakesh. L

The concept of refinement from probability elicitation is considered for proper scoring rules. Taking directions from the axioms of probability, refinement is further clarified using a Hilbert space interpretation and reformulated into the…

Machine Learning · Statistics 2013-03-12 Hamed Masnadi-Shirazi

The notion of an equational shell is studied to involve the objects and their environment. Appropriate methods are studied as valid embeddings of refined objects. The refinement process determines the linkages between the variety of…

Logic in Computer Science · Computer Science 2007-05-23 Larissa Ismailova

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

Refinement calculus provides a structured framework for the progressive and modular development of programs, ensuring their correctness throughout the refinement process. This paper introduces a refinement calculus tailored for quantum…

Logic in Computer Science · Computer Science 2023-11-27 Yuan Feng , Li Zhou , Yingte Xu

To remain useful for their users, software systems need to continuously enhance and extend their functionality. Nevertheless, in many object-oriented applications, features are not represented explicitly. The lack of modularization is known…

Software Engineering · Computer Science 2014-07-07 T. Pandiyavathi

Recently determined atomistic scale structures of near-two dimensional bilayers of vitreous silica (using scanning probe and electron microscopy) allow us to refine the experimentally determined coordinates to incorporate the known local…

Disordered Systems and Neural Networks · Physics 2017-11-13 Mahdi Sadjadi , Bishal Bhattarai , D. A. Drabold , M. F. Thorpe , Mark Wilson

Particle filtering is a numerical Bayesian technique that has great potential for solving sequential estimation problems involving non-linear and non-Gaussian models. Since the estimation accuracy achieved by particle filters improves as…

Computation · Statistics 2017-11-22 Jeyarajan Thiyagalingam , Lykourgos Kekempanos , Simon Maskell