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This work proposes a dependent type theory that combines functions and session-typed processes (with value dependencies) through a contextual monad, internalising typed processes in a dependently-typed lambda-calculus. The proposed…

Programming Languages · Computer Science 2018-01-25 Bernardo Toninho , Nobuko Yoshida

The concept of $typed$ $topology$ is introduced. In a typed topological space, some open sets are assigned "types", and topological concepts such as closure, connectedness can be defined using types. A finite data set in $R^2$ is a…

General Topology · Mathematics 2024-02-13 Wanjun Hu

Type systems usually characterize the shape of values but not their free variables. However, there are many desirable safety properties one could guarantee if one could track how references can escape. For example, one may implement…

Programming Languages · Computer Science 2021-05-26 Aleksander Boruch-Gruszecki , Jonathan Immanuel Brachthäuser , Edward Lee , Ondřej Lhoták , Martin Odersky

Can we use the flow of information to understand type systems? I present two familiar type systems in pursuit of an `Information Aware' style, using information effects to reveal data flow and help in implementing them. I also calculate a…

Programming Languages · Computer Science 2024-12-24 Philippa Cowderoy

This paper introduces a simple type system for combinatory logic in which combinators have at most one type, whose polymorphism is revealed by application. The combinatory types exactly describe the structure of their values, which may be…

Logic in Computer Science · Computer Science 2026-04-15 Barry Jay , Johannes Bader

Through the increasing interconnection between various systems, the need for confidential systems is increasing. Confidential systems share data only with authorized entities. However, estimating the confidentiality of a system is complex,…

Software Engineering · Computer Science 2023-08-04 Felix Schwickerath , Nicolas Boltz , Sebastian Hahner , Maximilian Walter , Christopher Gerking , Robert Heinrich

This paper investigates a flow- and path-sensitive static information flow analysis. Compared with security type systems with fixed labels, it has been shown that flow-sensitive type systems accept more secure programs. We show that an…

Programming Languages · Computer Science 2017-06-22 Peixuan Li , Danfeng Zhang

ReScript introduces a strongly typed language that targets JavaScript, as an alternative to gradually typed languages, such as TypeScript. In this paper, we present a type system for data-flow analysis for a subset of the ReScript language,…

Programming Languages · Computer Science 2024-08-23 Nicky Ask Lund , Hans Hüttel

We propose a rich foundational theory of typed data streams and stream transformers, motivated by two high-level goals: (1) The type of a stream should be able to express complex sequential patterns of events over time. And (2) it should…

Information-flow security type systems ensure confidentiality by enforcing noninterference: a program cannot leak private data to public channels. However, in practice, programs need to selectively declassify information about private data.…

Programming Languages · Computer Science 2019-11-13 Raimil Cruz , Éric Tanter

Data protection laws such as GDPR aim to give users unprecedented control over their personal data. Compliance with these regulations requires systematically considering information flow and interactions among entities handling sensitive…

Programming Languages · Computer Science 2025-08-07 Chinmayi Prabhu Baramashetru , Paola Giannini , Silvia Lizeth Tapia Tarifa , Olaf Owe

Interprocedural flow analysis can be used to eliminate otherwise unnecessary heap allocated objects (unboxing), and in previous work we have shown how to do so while maintaining correctness with respect to the garbage collector. In this…

Programming Languages · Computer Science 2015-03-20 Neal Glew , Leaf Petersen

We present an approach to develop folds for nested data types using dependent types. We call such folds $\textit{dependently typed folds}$, they have the following properties. (1) Dependently typed folds are defined by well-founded…

Logic in Computer Science · Computer Science 2018-06-18 Peng Fu , Peter Selinger

A data representation for system behavior telemetry for scalable big data security analytics is presented, affording telemetry consumers comprehensive visibility into workloads at reduced storage and processing overheads. The new…

Cryptography and Security · Computer Science 2021-01-27 Teryl Taylor , Frederico Araujo , Xiaokui Shu

Path polymorphism is the ability to define functions that can operate uniformly over arbitrary recursively specified data structures. Its essence is captured by patterns of the form $x\,y$ which decompose a compound data structure into its…

Logic in Computer Science · Computer Science 2020-06-30 Andrés Viso , Eduardo Bonelli , Mauricio Ayala-Rincón

The concept of typed topological space is introduced, for which open sets in a topology on a finite set will be assigned types (from lattice). The neighborhood system of a point, the closure and the connectedness can be defined according to…

General Topology · Mathematics 2018-04-13 Wanjun Hu

It is informally understood that the purpose of modal type constructors in programming calculi is to control the flow of information between types. In order to lend rigorous support to this idea, we study the category of classified sets, a…

Programming Languages · Computer Science 2018-11-12 G. A. Kavvos

Derivation of reduced order representations of dynamical systems requires the modeling of the truncated dynamics on the retained dynamics. In its most general form, this so-called closure model has to account for memory effects. In this…

Dynamical Systems · Mathematics 2020-06-12 Shaowu Pan , Karthik Duraisamy

In this tutorial I will present how a combination of linear and dependent type can be useful to describe different properties about higher order programs. Linear types have been proved particularly useful to express properties of functions;…

Programming Languages · Computer Science 2013-07-01 Marco Gaboardi

Information flow analysis has largely ignored the setting where the analyst has neither control over nor a complete model of the analyzed system. We formalize such limited information flow analyses and study an instance of it: detecting the…

Cryptography and Security · Computer Science 2014-05-13 Michael Carl Tschantz , Amit Datta , Anupam Datta , Jeannette M. Wing
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