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We present a conceptual framework, datamodeling, for analyzing the behavior of a model class in terms of the training data. For any fixed "target" example $x$, training set $S$, and learning algorithm, a datamodel is a parameterized…

Machine Learning · Statistics 2022-02-02 Andrew Ilyas , Sung Min Park , Logan Engstrom , Guillaume Leclerc , Aleksander Madry

We present a type system for strategy languages that express program transformations as compositions of rewrite rules. Our row-polymorphic type system assists compiler engineers to write correct strategies by statically rejecting non…

Programming Languages · Computer Science 2021-03-26 Rongxiao Fu , Xueying Qin , Ornela Dardha , Michel Steuwer

This paper presents a study of the metaphorism pattern of relational specification, showing how it can be refined into recursive programs. Metaphorisms express input-output relationships which preserve relevant information while at the same…

Logic in Computer Science · Computer Science 2017-09-27 J. N. Oliveira

Data integration and migration processes in polystores and multi-model database management systems highly benefit from data and schema transformations. Rigorous modeling of transformations is a complex problem. The data and schema…

Databases · Computer Science 2022-01-14 Valter Uotila , Jiaheng Lu

The importance of transformations and normal forms in logic programming, and generally in computer science, is well documented. This paper investigates transformations and normal forms in the context of Defeasible Logic, a simple but…

Logic in Computer Science · Computer Science 2021-02-16 G. Antoniou , D. Billington , G. Governatori , M. J. Maher

We scale layered modal type theory to dependent types, introducing DeLaM, dependent layered modal type theory. This type theory is novel in that we have one uniform type theory in which we can not only compose and execute code, but also…

Logic in Computer Science · Computer Science 2024-07-09 Jason Z. S. Hu , Brigitte Pientka

In this paper we will look at the connection of frames and finite dimensionality. A main focus is to present simple algorithms and make them available online. The main result is a way to 'switch' between different frames, giving an…

Functional Analysis · Mathematics 2009-02-12 Peter Balazs

Stepwise refinement of algebraic specifications is a well known formal methodology for program development. However, traditional notions of refinement based on signature morphisms are often too rigid to capture a number of relevant…

Logic in Computer Science · Computer Science 2015-07-01 Manuel A. Martins , Alexandre Madeira , Luis S. Barbosa

Dimensionality reduction is a common method for analyzing and visualizing high-dimensional data. However, reasoning dynamically about the results of a dimensionality reduction is difficult. Dimensionality-reduction algorithms use complex…

Human-Computer Interaction · Computer Science 2018-11-30 Marco Cavallo , Çağatay Demiralp

We study the properties of different type of transforms by means of operational methods and discuss the relevant interplay with many families of special functions. We consider in particular the binomial transform and its generalizations. A…

Mathematical Physics · Physics 2010-10-11 G. Dattoli , E. Sabia

This proposal presents a graph computing framework intending to support both online and offline computing on large dynamic graphs efficiently. The framework proposes a new data model to support rich evolving vertex and edge data types. It…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-08 Zhao Yu Dong

In Software Reengineering, one of the central artifacts is the source code of the legacy system in question. In fact, in most cases it is the only definitive artifact, because over the time the code has diverged from the original…

Software Engineering · Computer Science 2011-11-22 Tassilo Horn

Users of program analyses expect that results change predictably in response to changes in their programs, but many analyses fail to provide such robustness. This paper introduces a theoretical framework that provides a unified language to…

Programming Languages · Computer Science 2026-04-14 Zachary Kincaid , Shaowei Zhu

When a new programming language appears, the syntax and intended behaviour of its programs need to be specified. The behaviour of each language construct can be concisely specified by translating it to fundamental constructs (funcons),…

Programming Languages · Computer Science 2023-08-22 Peter D. Mosses

A system, which implements persistent objects, has to provide different opportunities to change the objects in arbitrary ways during their existence. A traditional realization of OO paradigm in modern programming systems has fundamental…

Programming Languages · Computer Science 2013-04-12 Evgeniy Grigoriev

Determining whether a program terminates is a core challenge in program analysis with direct implications for correctness, verification, and security. We investigate whether transformer architectures can recognise termination patterns…

Programming Languages · Computer Science 2026-04-02 Yoav Alon , Cristina David

The increasing demand for Fourier transforms on geometric algebras has resulted in a large variety. Here we introduce one single straight forward definition of a general geometric Fourier transform covering most versions in the literature.…

Algebraic Geometry · Mathematics 2013-06-11 Roxana Bujack , Gerik Scheuermann , Eckhard Hitzer

Incremental computation has recently been studied using the concepts of change structures and derivatives of programs, where the derivative of a function allows updating the output of the function based on a change to its input. We…

Programming Languages · Computer Science 2018-11-26 Mario Alvarez-Picallo , Alex Eyers-Taylor , Michael Peyton Jones , C. -H. Luke Ong

Initially developed for natural language processing (NLP), Transformers are now widely used for source code processing, due to the format similarity between source code and text. In contrast to natural language, source code is strictly…

Machine Learning · Computer Science 2021-06-25 Nadezhda Chirkova , Sergey Troshin

Typical constraints on embedded systems include code size limits, upper bounds on energy consumption and hard or soft deadlines. To meet these requirements, it may be necessary to improve the software by applying various kinds of…

Performance · Computer Science 2010-11-30 Hugues Cassé , Karine Heydemann , Haluk Ozaktas , Jonathan Ponroy , Christine Rochange , Olivier Zendra