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A fundamental question in system design is to decide how much of the design of one component must be known in order to successfully design another component of the system. We study this question in the setting of reactive synthesis, where…

Logic in Computer Science · Computer Science 2016-11-24 Werner Damm , Bernd Finkbeiner , Astrid Rakow

Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using…

Adaptation and Self-Organizing Systems · Physics 2016-11-04 Pablo Kaluza , Alexander S. Mikhailov

Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched,…

Logic in Computer Science · Computer Science 2024-11-01 Ádám Kurucz , Péter Bereczky , Dániel Horpácsi

We derive an integration by parts formula for functionals of determinantal processes on compact sets, completing the arguments of [4]. This is used to show the existence of a configuration-valued diffusion process which is non-colliding and…

Probability · Mathematics 2015-09-30 Laurent Decreusefond , Ian Flint , Nicolas Privault , Giovanni Luca Torrisi

To any finite ordered subset and any finite partition of a group a set of tuples of positive integers, named as configurations, is associated that describes the group's behavior. The present paper provides an exposition of this notion and…

Group Theory · Mathematics 2018-04-24 Akram Yousofzadeh

Many digital systems are designed as collections of asynchronous processes orchestrated by a domain-specific scheduler. The verification of such scheduler-restricted asynchronous systems (SRA) is challenging due to process-process and…

Logic in Computer Science · Computer Science 2026-05-27 Alessandro Cimatti , Alberto Griggio , Christian Lidström , Gianluca Redondi , Dylan Trenti

Designing recommendation systems that serve content aligned with time varying preferences requires proper accounting of the feedback effects of recommendations on human behavior and psychological condition. We argue that modeling the…

Information Retrieval · Computer Science 2022-08-09 Mihaela Curmei , Andreas Haupt , Dylan Hadfield-Menell , Benjamin Recht

Recursive relational specifications are commonly used to describe the computational structure of formal systems. Recent research in proof theory has identified two features that facilitate direct, logic-based reasoning about such…

Logic in Computer Science · Computer Science 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

We define a stable model semantics for fuzzy propositional formulas, which generalizes both fuzzy propositional logic and the stable model semantics of classical propositional formulas. The syntax of the language is the same as the syntax…

Artificial Intelligence · Computer Science 2025-06-17 Joohyung Lee , Yi Wang

We present log-linear dynamical systems, a dynamical system model for positive quantities. We explain the connection to linear dynamical systems and show how convex optimization can be used to identify and control log-linear dynamical…

Optimization and Control · Mathematics 2020-02-07 Steven Diamond

We show that strict deterministic propositional dynamic logic with intersection is highly undecidable, solving a problem in the Stanford Encyclopedia of Philosophy. In fact we show something quite a bit stronger. We introduce the…

Logic in Computer Science · Computer Science 2023-11-08 Robert Goldblatt , Marcel Jackson

The paper presents a method for obtaining problems whose conclusions contain disjunctive propositions. These problems constitute a version of inverse problems with a given logical structure. The logical models in the groups of problems…

History and Overview · Mathematics 2014-11-24 Julia Ninova , Vesselka Mihova

Variational formulations of statics and dynamics of mechanical systems controlled by external forces are presented as examples of variational principles.

Mathematical Physics · Physics 2015-06-26 Antonio De Nicola , Wlodzimierz M. Tulczyjew

Recommender systems support decisions in various domains ranging from simple items such as books and movies to more complex items such as financial services, telecommunication equipment, and software systems. In this context,…

Information Retrieval · Computer Science 2021-02-15 Alexander Felfernig , Viet-Man Le , Andrei Popescu , Mathias Uta , Thi Ngoc Trang Tran , Müslüum Atas

Probabilistic programming is considered as a framework, in which basic components of cognitive architectures can be represented in unified and elegant fashion. At the same time, necessity of adopting some component of cognitive…

Artificial Intelligence · Computer Science 2016-05-05 Alexey Potapov

We advocate here the use of computational logic for systems biology, as a \emph{unified and safe} framework well suited for both modeling the dynamic behaviour of biological systems, expressing properties of them, and verifying these…

Quantitative Methods · Quantitative Biology 2020-10-07 Elisabetta de Maria , Joelle Despeyroux , Amy Felty , Pietro Liò , Carlos Olarte , Abdorrahim Bahrami

To study discrete dynamical systems of different types --- deterministic, statistical and quantum --- we develop various approaches. We introduce the concept of a system of discrete relations on an abstract simplicial complex and develop…

Mathematical Physics · Physics 2010-11-10 Vladimir V. Kornyak

Reliability of a system is considered where the components' random lifetimes may be dependent. The structure of the system is described by an associated "lattice polynomial" function. Based on that descriptor, general framework formulas are…

Probability · Mathematics 2012-02-13 Alexander Dukhovny , Jean-Luc Marichal

Suppose we want to build a system that answers a natural language question by representing its semantics as a logical form and computing the answer given a structured database of facts. The core part of such a system is the semantic parser…

Artificial Intelligence · Computer Science 2011-10-03 Percy Liang , Michael I. Jordan , Dan Klein

We propose two new dependent type systems. The first, is a dependent graded/linear type system where a graded dependent type system is connected via modal operators to a linear type system in the style of Linear/Non-linear logic. We then…

Logic in Computer Science · Computer Science 2023-07-20 Peter Hanukaev , Harley Eades