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Targeting to use contract-based design for the specification and refinement of extra-functional properties, this research abstract suggests to use type constraints and dependent types to ensure correct and consistent top-down decomposition…

Programming Languages · Computer Science 2019-06-28 Gregor Nitsche

In this paper, we present type systems for flow-sensitive pointer analysis, live stack-heap (variables) analysis, and program optimization. The type system for live stack-heap analysis is an enrichment of that for pointer analysis; the…

Software Engineering · Computer Science 2011-04-05 Mohamed A. El-Zawawy

Software system can include redundant implementation elements, such as, different methods that can produce indistinguishable results. This type of redundancy is called intrinsic if it is already available in the software, although not…

Software Engineering · Computer Science 2014-11-18 Matteo Brunetto

In this paper, we study the problem of generating inputs to a higher-order program causing it to error. We first study the problem in the setting of PCF, a typed, core functional language and contribute the first relatively complete method…

Programming Languages · Computer Science 2015-04-22 Phuc C. Nguyen , David Van Horn

This book explores an alternative to the current dominant paradigm where a discrete computer model is constructed as an attempt to approximate some continuum theory. We focus on a class of discrete computer models that are based on simple…

Logic in Computer Science · Computer Science 2017-04-14 Garry Pantelis

We prove that orthogonal constructor term rewrite systems and lambda-calculus with weak (i.e., no reduction is allowed under the scope of a lambda-abstraction) call-by-value reduction can simulate each other with a linear overhead. In…

Programming Languages · Computer Science 2019-03-14 Ugo Dal Lago , Simone Martini

Modern programming languages, such as Java and C#, typically provide features that handle exceptions. These features separate error-handling code from regular source code and are proven to enhance the practice of software reliability,…

Software Engineering · Computer Science 2017-04-05 Guilherme B. de Pádua , Weiyi Shang

In type theory, we can express many practical ideas by attributing some additional data to expressions we operate on during compilation. For instance, some substructural type theories augment variables' typing judgments with the information…

Programming Languages · Computer Science 2021-06-17 Aziz Akhmedkhodjaev

Answer set programming - the most popular problem solving paradigm based on logic programs - has been recently extended to support uninterpreted function symbols. All of these approaches have some limitation. In this paper we propose a…

Artificial Intelligence · Computer Science 2010-07-22 Sabrina Baselice , Piero A. Bonatti

Failure detection protocols---a fundamental building block for crafting fault-tolerant distributed systems---are in many cases described by their authors making use of informal pseudo-codes of their conception. Often these pseudo-codes use…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-15 Vincenzo De Florio , Chris Blondia

We develop formal theories of conversion for Church-style lambda-terms with Pi-types in first-order syntax using one-sorted variables names and Stoughton's multiple substitutions. We then formalize the Pure Type Systems along some…

Logic in Computer Science · Computer Science 2025-10-15 Sebastián Urciuoli

Many binary classification problems minimize misclassification above (or below) a threshold. We show that instances of ranking problems, accuracy at the top or hypothesis testing may be written in this form. We propose a general framework…

Machine Learning · Computer Science 2020-02-26 Lukáš Adam , Václav Mácha , Václav Šmídl , Tomáš Pevný

Dependently typed lambda calculi such as the Logical Framework (LF) are capable of representing relationships between terms through types. By exploiting the "formulas-as-types" notion, such calculi can also encode the correspondence between…

Logic in Computer Science · Computer Science 2010-07-07 Zachary Snow , David Baelde , Gopalan Nadathur

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

We present the system $\mathtt{d}$, an extended type system with lambda-typed lambda-expressions. It is related to type systems originating from the Automath project. $\mathtt{d}$ extends existing lambda-typed systems by an existential…

Logic in Computer Science · Computer Science 2023-06-22 Matthias Weber

While methods of code abstraction and reuse are widespread and well researched, methods of proof abstraction and reuse are still emerging. We consider the use of dependent types for this purpose, introducing a completely mechanical approach…

Programming Languages · Computer Science 2012-08-03 Christopher Schwaab , Jeremy G. Siek

Refinement types -- types qualified with logical predicates -- have proven effective for lightweight verification in languages like Liquid Haskell, F*, and Dafny. However, in these systems refinements are either written in a separate…

Programming Languages · Computer Science 2026-05-12 Matt Bovel , Viktor Kunčak , Martin Odersky

The decidability of the reachability problem for finitary PCF has been used as a theoretical basis for fully automated verification tools for functional programs. The reachability problem, however, often becomes undecidable for a slight…

Logic in Computer Science · Computer Science 2025-02-11 Naoki Kobayashi

Session types express and enforce safe communication in concurrent message-passing systems by statically capturing the interaction protocols between processes in the type. Recent works extend session types with arithmetic refinements, which…

Programming Languages · Computer Science 2026-02-09 Toby Ueno , Ankush Das

We propose urgency programs, a new programming model with support for alternation, imperfect information, and recursion. The novelty are urgency annotations that decorate the (angelic and demonic) choice operators and control the order in…

Logic in Computer Science · Computer Science 2023-10-23 Eren Keskin , Roland Meyer , Sören van der Wall