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In verified generic programming, one cannot exploit the structure of concrete data types but has to rely on well chosen sets of specifications or abstract data types (ADTs). Functors and monads are at the core of many applications of…

Logic in Computer Science · Computer Science 2023-06-22 Nicola Botta , Nuria Brede , Patrik Jansson , Tim Richter

We formulate a framework for describing behaviour of effectful higher-order recursive programs. Examples of effects are implemented using effect operations, and include: execution cost, nondeterminism, global store and interaction with a…

Logic in Computer Science · Computer Science 2021-12-30 Niccolò Veltri , Niels F. W. Voorneveld

Rewriting logic is both a flexible semantic framework within which widely different concurrent systems can be naturally specified and a logical framework in which widely different logics can be specified. Maude programs are exactly rewrite…

Logic in Computer Science · Computer Science 2019-10-21 Francisco Durán , Steven Eker , Santiago Escobar , Narciso Martí-Oliet , José Meseguer , Rubén Rubio , Carolyn Talcott

Semantic typing has become a powerful tool for program verification, applying the technique of logical relations as not only a proof method, but also a device for prescribing program behavior. In recent work, Yao et al. scaled semantic…

Programming Languages · Computer Science 2025-11-26 Tesla Zhang , Asher Kornfeld , Rui Li , Sonya Simkin , Yue Yao , Stephanie Balzer

Universal quantifiers occur frequently in proof obligations produced by program verifiers, for instance, to axiomatize uninterpreted functions and to express properties of arrays. SMT-based verifiers typically reason about them via…

Programming Languages · Computer Science 2021-12-15 Alexandra Bugariu , Arshavir Ter-Gabrielyan , Peter Müller

Ordered, linear, and other substructural type systems allow us to expose deep properties of programs at the syntactic level of types. In this paper, we develop a family of unary logical relations that allow us to prove consequences of…

Logic in Computer Science · Computer Science 2025-03-06 C. B. Aberlé , Chris Martens , Frank Pfenning

Symbolic model checking by using BDDs has greatly improved the applicability of model checking. Nevertheless, BDD based symbolic model checking can still be very memory and time consuming. One main reason is the complex transition relation…

Logic in Computer Science · Computer Science 2011-06-08 Christian Appold

For decades, RDBMSs have supported declarative SQL as well as imperative functions and procedures as ways for users to express data processing tasks. While the evaluation of declarative SQL has received a lot of attention resulting in…

Relational verification is a technique that aims at proving properties that relate two different program fragments, or two different program runs. It has been shown that constrained Horn clauses (CHCs) can effectively be used for relational…

Logic in Computer Science · Computer Science 2017-09-15 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Rational relations are binary relations of finite words that are realised by non-deterministic finite state transducers (NFT). A particular kind of rational relations is the sequential functions. Sequential functions are the functions that…

Formal Languages and Automata Theory · Computer Science 2015-04-16 Ismaël Jecker , Emmanuel Filiot

In purely functional programming languages imperative features, more generally computational effects are prohibited. However, non-functional lan- guages do involve effects. The theory of decorated logic provides a rigorous for- malism (with…

Logic in Computer Science · Computer Science 2014-11-27 Burak Ekici

Program reductions are used widely to simplify reasoning about the correctness of concurrent and distributed programs. In this paper, we propose a general approach to proof simplification of concurrent programs based on exploring generic…

Programming Languages · Computer Science 2019-11-01 Azadeh Farzan , Anthony Vandikas

A large number of web applications is based on a relational database together with a program, typically a script, that enables the user to interact with the database through embedded SQL queries and commands. In this paper, we introduce a…

Logic in Computer Science · Computer Science 2016-10-10 Shachar Itzhaky , Tomer Kotek , Noam Rinetzky , Mooly Sagiv , Orr Tamir , Helmut Veith , Florian Zuleger

Runtime verification is checking whether a system execution satisfies or violates a given correctness property. A procedure that automatically, and typically on the fly, verifies conformance of the system's behavior to the specified…

Software Engineering · Computer Science 2013-03-06 Mikhail Chupilko , Alexander Kamkin

Networks are difficult to configure correctly, and tricky to debug. These problems are accentuated by temporal and stateful behavior. Static verification, while useful, is ineffectual for detecting behavioral deviations induced by hardware…

Networking and Internet Architecture · Computer Science 2016-07-18 Tim Nelson , Nicholas DeMarinis , Timothy Adam Hoff , Rodrigo Fonseca , Shriram Krishnamurthi

Modeling and verification of dynamic systems operating over a relational representation of states are increasingly investigated problems in AI, Business Process Management, and Database Theory. To make these systems amenable to…

Artificial Intelligence · Computer Science 2023-08-14 Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

The growing popularity and adoption of differential privacy in academic and industrial settings has resulted in the development of increasingly sophisticated algorithms for releasing information while preserving privacy. Accompanying this…

Programming Languages · Computer Science 2016-12-13 Danfeng Zhang , Daniel Kifer

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2021-10-27 Aurel Bílý , Christoph Matheja , Peter Müller

We extend intersection types to a computational $\lambda$-calculus with algebraic operations \`a la Plotkin and Power. We achieve this by considering monadic intersections, whereby computational effects appear not only in the operational…

Programming Languages · Computer Science 2024-01-24 Francesco Gavazzo , Riccardo Treglia , Gabriele Vanoni

Adaptivity in multi-function radar systems is rapidly increasing, especially when moving towards fully adaptive, cognitive radar systems. However, the large number of available system configurations makes the rigorous verification and…

Signal Processing · Electrical Eng. & Systems 2023-02-21 Pepijn Cox , Mario Coutino , Giuseppe Papari , Ahmad Mouri Sardarabadi , Laura Anitori
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