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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

The contribution of this article is a data concept that is essentially based on the two concepts of information and computable functionality. In short, data is viewed as typed information. A data type is defined as a pair of a set of…

Programming Languages · Computer Science 2018-06-11 Johannes Reich

We introduce conservative curved systems over multiply connected domains and study relationships of such systems with related notions of functional model, characteristic function, and transfer function. In contrast to standard theory for…

Functional Analysis · Mathematics 2007-05-23 Alexey Tikhonov

Closed-loop reference models have recently been proposed for states accessible adaptive systems. They have been shown to have improved transient response over their open loop counter parts. The results in the states accessible case are…

Optimization and Control · Mathematics 2012-11-29 Travis E. Gibson , Anuradha M. Annaswamy , Eugene Lavretsky

Semantic data fuels many different applications, but is still lacking proper integration into programming languages. Untyped access is error-prone while mapping approaches cannot fully capture the conceptualization of semantic data. In this…

Programming Languages · Computer Science 2016-10-25 Martin Leinberger , Ralf Lämmel , Steffen Staab

Software development depends on the use of libraries whose public specifications inform client code and impose obligations on private implementations; it follows that verification at scale must also be modular, preserving such abstraction.…

Programming Languages · Computer Science 2025-12-03 Harrison Grodin , Runming Li , Robert Harper

A set of terminals observe correlated data and seek to compute functions of the data using interactive public communication. At the same time, it is required that the value of a private function of the data remains concealed from an…

Information Theory · Computer Science 2016-11-17 Himanshu Tyagi

We present a calculus that models a form of process interaction based on copyless message passing, in the style of Singularity OS. The calculus is equipped with a type system ensuring that well-typed processes are free from memory faults,…

Programming Languages · Computer Science 2015-07-01 Viviana Bono , Luca Padovani

The emerging practice of data-driven storytelling is framing data using familiar narrative mechanisms such as slideshows, videos, and comics to make even highly complex phenomena understandable. However, current data stories are still not…

Human-Computer Interaction · Computer Science 2025-11-18 Zhenpeng Zhao , Niklas Elmqvist

Living organisms interact with their surroundings in a closed-loop fashion, where sensory inputs dictate the initiation and termination of behaviours. Even simple animals are able to develop and execute complex plans, which has not yet been…

Robotics · Computer Science 2025-01-30 Giulia Lafratta , Bernd Porr , Christopher Chandler , Alice Miller

In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special weak solutions based on propagating fronts is established.…

Analysis of PDEs · Mathematics 2020-07-28 C. D. Hauck , M. Herty , G. Visconti

Programming with dependent types is a blessing and a curse. It is a blessing to be able to bake invariants into the definition of data-types: we can finally write correct-by-construction software. However, this extreme accuracy is also a…

Programming Languages · Computer Science 2019-02-20 Dagand Pierre-Evariste , McBride Conor

We investigate a stationary process's crypticity---a measure of the difference between its hidden state information and its observed information---using the causal states of computational mechanics. Here, we motivate crypticity and cryptic…

Data Analysis, Statistics and Probability · Physics 2015-05-30 John R. Mahoney , Christopher J. Ellison , Ryan G. James , James P. Crutchfield

The calculus of looping sequences is a formalism for describing the evolution of biological systems by means of term rewriting rules. We enrich this calculus with a type discipline to guarantee the soundness of reduction rules with respect…

Logic in Computer Science · Computer Science 2009-11-13 Mariangiola Dezani-Ciancaglini , Paola Giannini , Angelo Troina

This paper presents an approach to formalizing and enforcing a class of use privacy properties in data-driven systems. In contrast to prior work, we focus on use restrictions on proxies (i.e. strong predictors) of protected information…

Cryptography and Security · Computer Science 2017-09-08 Anupam Datta , Matthew Fredrikson , Gihyuk Ko , Piotr Mardziel , Shayak Sen

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

Capture calculus has recently been proposed as a solution to effect checking, achieved by tracking the captured references of terms in the types. Boxes, along with the box and unbox operations, are a crucial construct in capture calculus,…

Programming Languages · Computer Science 2023-06-13 Yichen Xu , Martin Odersky

We consider two classes of stream-based computations which admit taking linear combinations of execution runs: probabilistic sampling and generalized animation. The dataflow architecture is a natural platform for programming with streams.…

Programming Languages · Computer Science 2016-01-06 Michael Bukatin , Steve Matthews

Mobile phone data has enabled the timely and fine-grained study human mobility. Call Detail Records, generated at call events, allow building descriptions of mobility at different resolutions and with different spatial, temporal and social…

Physics and Society · Physics 2020-03-17 David Pastor-Escuredo , Enrique Frias-Martinez

The modal logic S4 can be used via a Curry-Howard style correspondence to obtain a lambda-calculus. Modal (boxed) types are intuitively interpreted as `closed syntax of the calculus'. This lambda-calculus is called modal type theory ---…

Logic in Computer Science · Computer Science 2013-05-28 Murdoch Gabbay , Aleksandar Nanevski