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We define two extensions of the typed linear lambda-calculus that yield minimal Turing-complete systems. The extensions are based on unbounded recursion in one case, and bounded recursion with minimisation in the other. We show that both…

Logic in Computer Science · Computer Science 2016-11-28 Sandra Alves , Maribel Fernández , Mário Florido , Ian Mackie

We present the guarded lambda-calculus, an extension of the simply typed lambda-calculus with guarded recursive and coinductive types. The use of guarded recursive types ensures the productivity of well-typed programs. Guarded recursive…

Logic in Computer Science · Computer Science 2019-03-14 Ranald Clouston , Aleš Bizjak , Hans Bugge Grathwohl , Lars Birkedal

In this paper we present a Java implementation of the algorithm that computes Buchbereger's and reduced Groebner's basis step by step. The Java application enables graphical representation of the intersection of two surfaces in…

Mathematical Software · Computer Science 2010-06-29 Branko J. Malesevic , Ivana V. Jovovic , Milan Z. Campara

Languages like F#, C#, and recently also Scala, provide "Async" programming models which aim to make asynchronous programming easier by avoiding an inversion of control that is inherent in callback-based programming models. This paper…

Programming Languages · Computer Science 2015-11-03 Philipp Haller , Heather Miller

Foundation models possess strong capabilities in reasoning and memorizing across modalities. To further unleash the power of foundation models, we present FIND, a generalized interface for aligning foundation models' embeddings with unified…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Xueyan Zou , Linjie Li , Jianfeng Wang , Jianwei Yang , Mingyu Ding , Junyi Wei , Zhengyuan Yang , Feng Li , Hao Zhang , Shilong Liu , Arul Aravinthan , Yong Jae Lee , Lijuan Wang

We develop a practical and novel method for inference on intersection bounds, namely bounds defined by either the infimum or supremum of a parametric or nonparametric function, or equivalently, the value of a linear programming problem with…

Statistics Theory · Mathematics 2013-05-06 Victor Chernozhukov , Sokbae Lee , Adam M. Rosen

Motivated by the increasing shift to multicore computers, recent work has developed language support for responsive parallel applications that mix compute-intensive tasks with latency-sensitive, usually interactive, tasks. These…

Programming Languages · Computer Science 2020-04-07 Stefan K. Muller , Kyle Singer , Noah Goldstein , Umut A. Acar , Kunal Agrawal , I-Ting Angelina Lee

Improving modularity and reusability are two key objectives in object-oriented programming. These objectives are achieved by applying several key concepts, such as data encapsulation and inheritance. A class in an object-oriented system is…

Software Engineering · Computer Science 2014-05-09 Jehad Al Dallal

Linear discriminant analysis (LDA) is a fundamental method for feature extraction and dimensionality reduction. Despite having many variants, classical LDA has its own importance, as it is a keystone in human knowledge about statistical…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Sayed Kamaledin Ghiasi-Shirazi

Software vulnerabilities remain a persistent risk, yet static and dynamic analyses often overlook structural dependencies that shape insecure behaviors. Viewing programs as heterogeneous graphs, we capture control- and data-flow relations…

Software Engineering · Computer Science 2025-10-14 Jugal Gajjar , Kaustik Ranaware , Kamalasankari Subramaniakuppusamy

Linear logic provides a framework to control the complexity of higher-order functional programs. We present an extension of this framework to programs with multithreading and side effects focusing on the case of elementary time. Our main…

Programming Languages · Computer Science 2011-06-13 Antoine Madet , Roberto M. Amadio

We introduce a simple extension of the $\lambda$-calculus with pairs---called the distributive $\lambda$-calculus---obtained by adding a computational interpretation of the valid distributivity isomorphism $A \Rightarrow (B\wedge C)\ \…

Logic in Computer Science · Computer Science 2020-10-23 Beniamino Accattoli , Alejandro Díaz-Caro

We describe a type system for the linear-algebraic $\lambda$-calculus. The type system accounts for the linear-algebraic aspects of this extension of $\lambda$-calculus: it is able to statically describe the linear combinations of terms…

Logic in Computer Science · Computer Science 2017-05-12 Pablo Arrighi , Alejandro Díaz-Caro , Benoît Valiron

Navigating the complex landscape of single-cell transcriptomic data presents significant challenges. Central to this challenge is the identification of a meaningful representation of high-dimensional gene expression patterns that sheds…

Quantitative Methods · Quantitative Biology 2023-12-13 Mu Qiao

The elementary affine lambda-calculus was introduced as a polyvalent setting for implicit computational complexity, allowing for characterizations of polynomial time and hyperexponential time predicates. But these results rely on type…

Logic in Computer Science · Computer Science 2019-08-15 Lê Thành Dũng Nguyen

Dependencies between types in object-oriented software can be viewed as directed graphs, with types as nodes and dependencies as edges. The in-degree and out-degree distributions of such graphs have quite different forms, with the former…

Software Engineering · Computer Science 2008-02-19 G. J. Baxter , M. R. Frean

An oblivious computation is one that is free of direct and indirect information leaks, e.g., due to observable differences in timing and memory access patterns. This paper presents Lambda Obliv, a core language whose type system enforces…

Programming Languages · Computer Science 2019-11-14 David Darais , Ian Sweet , Chang Liu , Michael Hicks

The multimodal Lambek calculus is an extension of the Lambek calculus that includes several product operations (some of them being commutative or/and associative), unary modalities, and corresponding residual implications. In this work, we…

Logic in Computer Science · Computer Science 2023-08-10 Tikhon Pshenitsyn

The lambda calculus since more than half a century is a model and foundation of functional programming languages. However, lambda expressions can be evaluated with different reduction strategies and thus, there is no fixed cost model nor…

Programming Languages · Computer Science 2024-05-22 Tomasz Drab

In this article we show that hybrid type-logical grammars are a fragment of first-order linear logic. This embedding result has several important consequences: it not only provides a simple new proof theory for the calculus, thereby…

Logic in Computer Science · Computer Science 2014-05-27 Richard Moot