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This paper provides a set of cycling problems in linear programming. These problems should be useful for researchers to develop and test new simplex algorithms. As matter of the fact, this set of problems is used to test a recently proposed…

Optimization and Control · Mathematics 2021-07-20 Yaguang Yang

The functional programming paradigm has a long and storied history, with its beginnings in the Lambda Calculus. In recent decades, pure functional languages such as Haskell have been shown to be highly effective in producing robust software…

Computers and Society · Computer Science 2025-12-04 Rajshekhar Sunderraman

As originally proposed, type classes provide overloading and ad-hoc definition, but can still be understood (and implemented) in terms of strictly parametric calculi. This is not true of subsequent extensions of type classes. Functional…

Programming Languages · Computer Science 2016-12-28 J. Garrett Morris

We discuss a programming language for real-time audio signal processing that is embedded in the functional language Haskell and uses the Low-Level Virtual Machine as back-end. With that framework we can code with the comfort and type safety…

Programming Languages · Computer Science 2015-03-17 Henning Thielemann

In considering the reliability of numerical programs, it is normal to "limit our study to the semantics dealing with numerical precision" (Martel, 2005). On the other hand, there is a great deal of work on the reliability of programs that…

Symbolic Computation · Computer Science 2014-04-25 James H. Davenport , Russell Bradford , Matthew England , David Wilson

Neural networks are typically represented as data structures that are traversed either through iteration or by manual chaining of method calls. However, a deeper analysis reveals that structured recursion can be used instead, so that…

Programming Languages · Computer Science 2022-09-30 Minh Nguyen , Nicolas Wu

Functional languages have provided major benefits to the verification community. Although features such as purity, a strong type system, and computational abstractions can help guide programmers away from costly errors, these can present…

Programming Languages · Computer Science 2018-03-29 Bernd Finkbeiner , Felix Klein , Ruzica Piskac , Mark Santolucito

User defined recursive types are a fundamental feature of modern functional programming languages like Haskell, Clean, and the ML family of languages. Properties of programs defined by recursion on the structure of recursive types are…

Programming Languages · Computer Science 2013-12-11 James Caldwell

We study program refactoring while considering the language or even the programming paradigm as a parameter. We use typed functional programs, namely Haskell programs, as the specification medium for a corresponding refactoring framework.…

Programming Languages · Computer Science 2007-05-23 Ralf Laemmel

As a report of a teaching experience, we analyse Haskell programs computing two integer sequences: the Hamming sequence and the Ulam sequence. For both of them, we investigate two strategies of computation: the first is based on filtering…

Programming Languages · Computer Science 2018-08-02 Ivano Salvo , Agnese Pacifico

Functionals are an important research subject in Mathematics and Computer Science as well as a challenge in Information Technologies where the current programming paradigm states that only symbolic computations are possible on higher order…

Logic · Mathematics 2018-09-13 Stanislaw Ambroszkiewicz

In the last couple of years we have witnessed an enormous increase of machine learning (ML) applications. More and more program functions are no longer written in code, but learnt from a huge amount of data samples using an ML algorithm.…

Software Engineering · Computer Science 2022-09-07 Peter Kriens , Tim Verbelen

In this work, attempt is made to select three good hash functions which uniformly distribute hash values that permute their internal states and allow the input bits to generate different output bits. These functions are used in different…

Data Structures and Algorithms · Computer Science 2009-05-27 A. T. Akinwalle , F. T. Ibharalu

Type classes are an elegant extension to traditional, Hindley-Milner based typing systems. They are used in modern, typed languages such as Haskell to support controlled overloading of symbols. Haskell 98 supports only single-parameter and…

Programming Languages · Computer Science 2007-05-23 Kevin Glynn , Martin Sulzmann , Peter J. Stuckey

In previous work, we introduced the notion of functional strategies: first-class generic functions that can traverse terms of any type while mixing uniform and type-specific behaviour. Functional strategies transpose the notion of term…

Programming Languages · Computer Science 2007-05-23 Ralf Laemmel , Joost Visser

We report on an experience to support multiple views of programs to solve the tyranny of the dominant decomposition in a functional setting. We consider two possible architectures in Haskell for the classical example of the expression…

Software Engineering · Computer Science 2011-02-01 Julien Cohen , Rémi Douence

The concept of functionality oriented programming is proposed, and some of its aspects are discussed, such as: (1) implementation independent basic types and generic collection types; (2) syntax requirements and recommendations for…

Programming Languages · Computer Science 2011-02-21 Chengpu Wang

The paper is organized as a self-contained literate Haskell program that implements elements of an executable finite set theory with focus on combinatorial generation and arithmetic encodings. The code, tested under GHC 6.6.1, is available…

Mathematical Software · Computer Science 2008-08-07 Paul Tarau

Throughout the history of functional programming, recursion has emerged as a natural method for describing loops in programs. However, there does often exist a substantial cognitive distance between the recursive definition and the simplest…

Programming Languages · Computer Science 2020-02-17 Satoshi Egi , Yuichi Nishiwaki

We present a small, formal language for specifying the behavior of simple console I/O programs. The design is driven by the concrete application case of testing interactive Haskell programs written by students. Specifications are…

Programming Languages · Computer Science 2025-06-27 Oliver Westphal , Janis Voigtländer