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In this paper we are concerned with understanding the nature of program metrics for calculi with higher-order types, seen as natural generalizations of program equivalences. Some of the metrics we are interested in are well-known, such as…

Logic in Computer Science · Computer Science 2023-02-13 Ugo Dal Lago , Naohiko Hoshino , Paolo Pistone

Many important cryptographic primitives offer probabilistic guarantees of security that can be specified as quantitative hyperproperties; these are specifications that stipulate the existence of a certain number of traces in the system…

Cryptography and Security · Computer Science 2020-05-18 Shubham Sahai , Rohit Sinha , Pramod Subramanyan

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

The predominant knowledge-based approach to automated model construction, compositional modelling, employs a set of models of particular functional components. Its inference mechanism takes a scenario describing the constituent interacting…

Artificial Intelligence · Computer Science 2011-07-04 J. Keppens , Q. Shen

Many real-world systems can be usefully represented as sets of interacting components. Examples include computational systems, such as query processors and compilers, natural systems, such as cells and ecosystems, and social systems, such…

Artificial Intelligence · Computer Science 2025-03-18 Purva Pruthi , David Jensen

Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic reactions to epidemics. Nevertheless, higher-order networks'…

Physics and Society · Physics 2026-01-01 Maxime Lucas , Luca Gallo , Arsham Ghavasieh , Federico Battiston , Manlio De Domenico

This work investigates the structure of rank-metric codes in connection with concepts from finite geometry, most notably the $q$-analogues of projective systems and blocking sets. We also illustrate how to associate a classical…

Combinatorics · Mathematics 2021-06-24 Gianira N. Alfarano , Martino Borello , Alessandro Neri , Alberto Ravagnani

Ordered logics and type systems have been used in a variety of applications including computational linguistics, memory allocation, stream processing, logical frameworks, parametricity, and enforcing security protocols. In most…

Logic in Computer Science · Computer Science 2026-05-20 Sophia Roshal , Frank Pfenning

Many problems can be specified by patterns of propositional formulae depending on a parameter, e.g. the specification of a circuit usually depends on the number of bits of its input. We define a logic whose formulae, called "iterated…

Logic in Computer Science · Computer Science 2010-01-26 Vincent Aravantinos , Ricardo Caferra , Nicolas Peltier

Today, reusable components are available in several repositorys. These are certainly conceived for re-use. However, this re-use is not immediate, it requires, in effect, to pass by some essential conceptual operations, among which in…

Software Engineering · Computer Science 2010-05-26 Hicham Elasri , Larbi Kzaz , Abderrahim Sekkaki

Parametric model checking (PMC) computes algebraic formulae that express key non-functional properties of a system (reliability, performance, etc.) as rational functions of the system and environment parameters. In software engineering, PMC…

Software Engineering · Computer Science 2021-02-03 Xinwei Fang , Radu Calinescu , Simos Gerasimou , Faisal Alhwikem

By fundamental results of Sch\"utzenberger, McNaughton and Papert from the 1970s, the classes of first-order definable and aperiodic languages coincide. Here, we extend this equivalence to a quantitative setting. For this, weighted automata…

Formal Languages and Automata Theory · Computer Science 2019-10-01 Manfred Droste , Paul Gastin

It is known in the context of decentralised control that there exist control strategies consistent with the requirements of a given information structure, yet physically unimplementable through any amount of passive common randomness. This…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Shashank A. Deshpande , Ankur A. Kulkarni

A model for cross-over designs with repeated measures within each period was developed. It is obtained using an extension of generalized estimating equations that includes a parametric component to model treatment effects and a…

Methodology · Statistics 2023-03-21 N. A. Cruz , O. O. Melo , C. A. Martinez

Distributed representations (such as those based on embeddings) and discrete representations (such as those based on logic) have complementary strengths. We explore one possible approach to combining these two kinds of representations. We…

Artificial Intelligence · Computer Science 2015-02-06 Ramanathan Guha

We introduce a numerical framework to verify the finite step convergence of first-order methods for parametric convex quadratic optimization. We formulate the verification problem as a mathematical optimization problem where we maximize a…

Optimization and Control · Mathematics 2025-04-18 Vinit Ranjan , Bartolomeo Stellato

Automated theorem proving in first-order logic is an active research area which is successfully supported by machine learning. While there have been various proposals for encoding logical formulas into numerical vectors -- from simple…

Artificial Intelligence · Computer Science 2020-03-17 Ibrahim Abdelaziz , Veronika Thost , Maxwell Crouse , Achille Fokoue

A large-scale complex system comprising many, often spatially distributed, dynamical subsystems with partial autonomy and complex interactions are called system of systems. This paper describes an efficient algorithm for model predictive…

Optimization and Control · Mathematics 2019-04-25 Branimir Novoselnik , Vedrana Spudić , Mato Baotić

This dissertation builds a compositional cyber-physical systems theory to develop concrete semantics relating the above diverse views necessary for safety and security assurance. In this sense, composition can take two forms. The first is…

Logic in Computer Science · Computer Science 2021-09-13 Georgios Bakirtzis

Component-based software engineering aims to reduce software development effort by reusing established components as building blocks of complex systems. Defining components in general-purpose programming languages restricts their reuse to…

Software Engineering · Computer Science 2014-12-10 Jan Oliver Ringert , Bernhard Rumpe , Andreas Wortmann
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