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The framework Pure Type System (PTS) offers a simple and general approach to designing and formalizing type systems. However, in the presence of dependent types, there often exist certain acute problems that make it difficult for PTS to…

Programming Languages · Computer Science 2017-03-28 Hongwei Xi

In this paper, we present a novel marriage of static and dynamic analysis. Given a large code base with many functions and a mature test suite, we propose using static analysis to find functions 1) with assertions or other evident…

Software Engineering · Computer Science 2016-09-22 Mohammad Amin Alipour , Alex Groce , Chaoqiang Zhang , Anahita Sanadaji , Gokul Caushik

Loop invariants play a central role in the verification of imperative programs. However, finding these invariants is often a difficult and time-consuming task for the programmer. We have previously shown how program transformation can be…

Logic in Computer Science · Computer Science 2017-08-25 G. W. Hamilton

State-machine based notations are ubiquitous in the description of component systems, particularly in the robotic domain. To ensure these systems are safe and predictable, formal verification techniques are important, and can be…

Logic in Computer Science · Computer Science 2018-10-11 Simon Foster , James Baxter , Ana Cavalcanti , Alvaro Miyazawa , Jim Woodcock

One of the main challenges in the analysis of probabilistic programs is to compute invariant properties that summarise loop behaviours. Automation of invariant generation is still at its infancy and most of the times targets only expected…

Symbolic Computation · Computer Science 2019-05-30 Ezio Bartocci , Laura Kovács , Miroslav Stankovič

There are various kinds of type analysis of logic programs. These include for example inference of types that describe an over-approximation of the success set of a program, inference of well-typings, and abstractions based on given types.…

Programming Languages · Computer Science 2007-05-23 Kim Henriksen , John Gallagher

Programming languages like P4 enable specifying the behavior of network data planes in software. However, with increasingly powerful and complex applications running in the network, the risk of faults also increases. Hence, there is growing…

Programming Languages · Computer Science 2022-06-08 Matthias Eichholz , Eric Hayden Campbell , Matthias Krebs , Nate Foster , Mira Mezini

Context Oriented Programming (COP) concerns the ability of programs to adapt to changes in their running environment. A number of programming languages endowed with COP constructs and features have been developed. However, some foundational…

Programming Languages · Computer Science 2013-02-27 Pierpaolo Degano , Gian-Luigi Ferrari , Letterio Galletta , Gianluca Mezzetti

Dependent types help programmers write highly reliable code. However, this reliability comes at a cost: it can be challenging to write new prototypes in (or migrate old code to) dependently-typed programming languages. Gradual typing makes…

Programming Languages · Computer Science 2019-08-23 Joseph Eremondi , Éric Tanter , Ronald Garcia

We present a type system and inference algorithm for a rich subset of JavaScript equipped with objects, structural subtyping, prototype inheritance, and first-class methods. The type system supports abstract and recursive objects, and is…

Programming Languages · Computer Science 2016-10-19 Satish Chandra , Colin S. Gordon , Jean-Baptiste Jeannin , Cole Schlesinger , Manu Sridharan , Frank Tip , Youngil Choi

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

To efficiently execute dynamically typed languages, many language implementations have adopted a two-tier architecture. The first tier aims for low-latency startup times and collects dynamic profiles, such as the dynamic types of variables.…

Programming Languages · Computer Science 2020-10-07 Olivier Flückiger , Andreas Wälchli , Sebastián Krynski , Jan Vitek

Security policies are naturally dynamic. Reflecting this, there has been a growing interest in studying information-flow properties which change during program execution, including concepts such as declassification, revocation, and…

Cryptography and Security · Computer Science 2015-01-13 Bart van Delft , Sebastian Hunt , David Sands

We present Turnstile+, a high-level, macros-based metaDSL for building dependently typed languages. With it, programmers may rapidly prototype and iterate on the design of new dependently typed features and extensions. Or they may create…

Programming Languages · Computer Science 2021-07-06 Stephen Chang , Michael Ballantyne , Milo Turner , William J. Bowman

Python's dynamic type system, while offering significant flexibility and expressiveness, poses substantial challenges for static analysis and automated tooling, particularly in unannotated or partially annotated codebases. Existing type…

Software Engineering · Computer Science 2026-04-08 Ali Aman , Muhammad Asaduzzaman , Shaowei Wang

Strong static type systems help programmers eliminate many errors without much burden of supplying type annotations. However, this flexibility makes it highly non-trivial to diagnose ill-typed programs, especially for novice programmers.…

Programming Languages · Computer Science 2022-10-10 Chuqin Geng , Haolin Ye , Yixuan Li , Tianyu Han , Brigitte Pientka , Xujie Si

A long-standing shortcoming of statically typed functional languages is that type checking does not rule out pattern-matching failures (run-time match exceptions). Refinement types distinguish different values of datatypes; if a program…

Programming Languages · Computer Science 2020-09-22 Khurram A. Jafery , Jana Dunfield

Probabilistic programming offers a powerful framework for modeling uncertainty, yet statistical model discovery in this domain entails navigating an immense search space under strict domain-specific constraints. When small language models…

Machine Learning · Computer Science 2026-04-21 Madhav Kanda , Shubham Ugare , Sasa Misailovic

Designing and implementing typed programming languages is hard. Every new type system feature requires extending the metatheory and implementation, which are often complicated and fragile. To ease this process, we would like to provide…

Programming Languages · Computer Science 2020-08-18 Jana Dunfield

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