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Recently we presented a concise survey of the formulation of the induction and coinduction principles, and some concepts related to them, in programming languages type theory and four other mathematical disciplines. The presentation in type…

Logic in Computer Science · Computer Science 2019-03-14 Moez A. AbdelGawad

The class of Basic Feasible Functionals BFF$_2$ is the type-2 counterpart of the class FP of type-1 functions computable in polynomial time. Several characterizations have been suggested in the literature, but none of these present a…

Logic in Computer Science · Computer Science 2023-06-22 Emmanuel Hainry , Bruce M. Kapron , Jean-Yves Marion , Romain Péchoux

There is often a sort of a protocol associated to each class, stating when and how certain methods should be called. Given that this protocol is, if at all, described in the documentation accompanying the class, current mainstream…

Programming Languages · Computer Science 2011-10-20 Joana Campos , Vasco T. Vasconcelos

Advancing automated programming necessitates robust and comprehensive code generation benchmarks, yet current evaluation frameworks largely neglect object-oriented programming (OOP) in favor of functional programming (FP), e.g., HumanEval…

Computation and Language · Computer Science 2024-02-22 Shuai Wang , Liang Ding , Li Shen , Yong Luo , Bo Du , Dacheng Tao

A programming language is a formally constructed language designed to communicate instructions to a machine, particularly a computer. Programming languages can be used to create programs to control the behavior of a machine or to express…

Software Engineering · Computer Science 2017-12-13 Ghassan Samara

This thesis deals with the specification and construction of syntax and operational semantics of a programming language. We work with a general notion of signature for specifying objects of a given category as initial objects in a suitable…

Logic in Computer Science · Computer Science 2019-12-19 Ambroise Lafont

This document is intended as a stand-alone textbook chapter to be used for introducing some functional programming concepts into a course in which the primary teaching language is Java. For details of the approach, please see the paper…

Programming Languages · Computer Science 2023-02-21 John MacCormick

Recent work by (Richardson and Kuhn, 2017a,b; Richardson et al., 2018) looks at semantic parser induction and question answering in the domain of source code libraries and APIs. In this brief note, we formalize the representations being…

Computation and Language · Computer Science 2018-04-19 Kyle Richardson

Many Object Oriented Programming Languages provide reflective features which may be used to control the interpretive mechanism of the language. Often these features are defined with respect to a golden braid consisting of objects classes…

Software Engineering · Computer Science 2018-04-20 Tony Clark

The paper describes a mechanism for indirect object representation and access (ORA) in programming languages. The mechanism is based on using a new programming construct which is referred to as concept. Concept consists of one object class…

Programming Languages · Computer Science 2008-01-03 Alexandr Savinov

Functional programming comes in two flavours: one where ``functions are first-class citizens'' (we call this applicative) and one which is based on equations (we call this declarative). In relational programming clauses play the role of…

Programming Languages · Computer Science 2007-05-23 H. Ibrahim , M. H. van Emden

The objective of this paper is to develop a functional programming language for quantum computers. We develop a lambda calculus for the classical control model, following the first author's work on quantum flow-charts. We define a…

Logic in Computer Science · Computer Science 2009-02-26 Peter Selinger , Benoit Valiron

In this article the function overloading in object-oriented programming is elaborated and how they are implemented in C++. The language supports a variety of programming styles. Here we are describing the polymorphism and its types in…

Programming Languages · Computer Science 2013-12-02 Dr. Brijender Kahanwal , Dr. T. P. Singh

Algorithms are ways of mapping problems to solutions. An algorithm is invertible precisely when this mapping is injective, such that the initial problem can be uniquely inferred from its solution. While invertible algorithms can be…

Programming Languages · Computer Science 2022-12-08 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

The notion of a real-valued function is central to mathematics, computer science, and many other scientific fields. Despite this importance, there are hardly any positive results on decision procedures for predicate logical theories that…

Logic in Computer Science · Computer Science 2025-04-30 Stefan Ratschan

A natural connection between rational functions of several real or complex variables, and subspace collections is explored. A new class of function, superfunctions, are introduced which are the counterpart to functions at the level of…

Algebraic Geometry · Mathematics 2016-02-23 Graeme W. Milton

Context-Oriented programming languages provide us with primitive constructs to adapt program behaviour depending on the evolution of their operational environment, namely the context. In previous work we proposed ML_CoDa, a context-oriented…

Programming Languages · Computer Science 2015-12-25 Andrea Canciani , Pierpaolo Degano , Gian-Luigi Ferrari , Letterio Galletta

Partial functions are common abstractions in formal specification notations such as Z, B and Alloy. Conversely, executable programming languages usually provide little or no support for them. In this paper we propose to add partial…

Programming Languages · Computer Science 2020-02-19 Maximiliano Cristia , Gianfranco Rossi , Claudia Frydman

Elementary function calls are a common feature in numerical programs. While their implementions in library functions are highly optimized, their computation is nonetheless very expensive compared to plain arithmetic. Full accuracy is,…

Numerical Analysis · Computer Science 2018-11-27 Eva Darulova , Anastasia Volkova

First-order learning involves finding a clause-form definition of a relation from examples of the relation and relevant background information. In this paper, a particular first-order learning system is modified to customize it for finding…

Artificial Intelligence · Computer Science 2014-11-17 J. R. Quinlan