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We present abstract acceleration techniques for computing loop invariants for numerical programs with linear assignments and conditionals. Whereas abstract interpretation techniques typically over-approximate the set of reachable states…

Programming Languages · Computer Science 2014-01-07 Bertrand Jeannet , Peter Schrammel , Sriram Sankaranarayanan

The Classic Howard's algorithm, a technique of resolution for discrete Hamilton-Jacobi equations, is of large use in applications for its high efficiency and good performances. A special beneficial characteristic of the method is the…

Numerical Analysis · Mathematics 2014-07-21 Adriano Festa

We consider a compositional construction of approximate abstractions of interconnected control systems. In our framework, an abstraction acts as a substitute in the controller design process and is itself a continuous control system. The…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Majid Zamani

Code Division Multiple Access (CDMA) in which the spreading code assignment to users contains a random element has recently become a cornerstone of CDMA research. The random element in the construction is particular attractive as it…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jack Raymond , David Saad

Inference metaprogramming enables effective probabilistic programming by supporting the decomposition of executions of probabilistic programs into subproblems and the deployment of hybrid probabilistic inference algorithms that apply…

Programming Languages · Computer Science 2019-07-16 Shivam Handa , Vikash Mansinghka , Martin Rinard

We study the uniform verification problem for infinite state processes, which consists of proving that the parallel composition of an arbitrary number of processes satisfies a temporal property. Our practical motivation is to build a…

Logic in Computer Science · Computer Science 2014-01-10 Alejandro Sánchez , César Sánchez

Separation logic and its variants can describe various properties on pointer programs. However, when it comes to properties on sequences, one may find it hard to formalize. To deal with properties on variable-length sequences and multilevel…

Logic in Computer Science · Computer Science 2023-02-09 Tianyue Cao , Bowen Zhang , Zhao Jin , Yongzhi Cao , Hanpin Wang

The relationship according to which one physical theory encompasses the domain of empirical validity of another is widely known as "reduction." Here it is argued that one popular methodology for showing that one theory reduces to another,…

History and Philosophy of Physics · Physics 2019-10-23 Joshua Rosaler

Program synthesis aims to automatically construct human-readable programs that satisfy given task specifications, such as input/output pairs or demonstrations. Recent works have demonstrated encouraging results in a variety of domains, such…

Software Engineering · Computer Science 2023-03-13 Linghan Zhong , Ryan Lindeborg , Jesse Zhang , Joseph J. Lim , Shao-Hua Sun

In recent years, various vendors have made quantum software frameworks available. Yet with vendor-specific frameworks, code portability seems at risk, especially in a field where hardware and software libraries have not yet reached a…

Quantum Physics · Physics 2022-03-15 Manuel Schönberger , Maja Franz , Stefanie Scherzinger , Wolfgang Mauerer

Combinatorial Exploration is a new domain-agnostic algorithmic framework to automatically and rigorously study the structure of combinatorial objects and derive their counting sequences and generating functions. We describe how it works and…

For engineering software with formal correctness proofs it is crucial that proofs can be efficiently reused in case the software or its specification is changed. Unfortunately, in reality even slight changes in the code or its specification…

Software Engineering · Computer Science 2015-01-20 Maria Pelevina

An abstraction can be used to relate two structural causal models representing the same system at different levels of resolution. Learning abstractions which guarantee consistency with respect to interventional distributions would allow one…

Artificial Intelligence · Computer Science 2023-05-09 Fabio Massimo Zennaro , Máté Drávucz , Geanina Apachitei , W. Dhammika Widanage , Theodoros Damoulas

Compartmentalization is good security-engineering practice. By breaking a large software system into mutually distrustful components that run with minimal privileges, restricting their interactions to conform to well-defined interfaces, we…

Cryptography and Security · Computer Science 2017-04-18 Yannis Juglaret , Catalin Hritcu , Arthur Azevedo de Amorim , Boris Eng , Benjamin C. Pierce

Dynamic memory issues are hard to locate and may cost much of a development project's efforts and was repeatedly reported similarly afterwards independently by different persons. Verification as one formal method may proof a given program's…

Logic in Computer Science · Computer Science 2019-06-28 René Haberland , Kirill Krinkin

We present symQV, a symbolic execution framework for writing and verifying quantum computations in the quantum circuit model. symQV can automatically verify that a quantum program complies with a first-order specification. We formally…

Quantum Physics · Physics 2023-03-14 Fabian Bauer-Marquart , Stefan Leue , Christian Schilling

Decomposition and abstraction is an essential component of computational thinking, yet it is not always emphasized in introductory programming courses. In addition, as generative AI further reduces the focus on syntax and increases the…

Software Engineering · Computer Science 2025-12-09 Georgiana Haldeman , Peter Ohmann , Paul Denny

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

The strength of a dynamic language is also its weakness: run-time flexibility comes at the cost of compile-time predictability. Many of the hallmarks of dynamic languages such as closures, continuations, various forms of reflection, and a…

Programming Languages · Computer Science 2014-08-18 J. Ian Johnson , David Van Horn

Designing quantum error correcting codes that promise a high error threshold, low resource overhead and efficient decoding algorithms is crucial to achieve large-scale fault-tolerant quantum computation. The concatenated quantum Hamming…

Quantum Physics · Physics 2026-05-12 Menglong Fang , Daiqin Su