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In this paper we propose definitions of equivalence via stochastic bisimulation and of equivalence of stochastic external behavior for the class of discrete-time stochastic linear control systems with possibly degenerate normally…

Optimization and Control · Mathematics 2016-11-28 Giordano Pola , Costanzo Manes , Arjan J. van der Schaft , Maria Domenica Di Benedetto

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction:…

Logic in Computer Science · Computer Science 2023-09-15 Jos C. M. Baeten , Bas Luttik

The application of the quasi-steady-state approximation to the Michaelis-Menten reaction embedded in large open chemical reaction networks is a popular model reduction technique in deterministic and stochastic simulations of biochemical…

Statistical Mechanics · Physics 2013-05-28 Philipp Thomas , Arthur V. Straube , Ramon Grima

Continuously operated (bio-)chemical processes increasingly suffer from external disturbances, such as feed fluctuations or changes in market conditions. Product quality often hinges on control of rarely measured concentrations, which are…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Erik Esche , Torben Talis , Joris Weigert , Gerardo Brand-Rihm , Byungjun You , Christian Hoffmann , Jens-Uwe Repke

Labeled state-to-function transition systems, FuTS for short, admit multiple transition schemes from states to functions of finite support over general semirings. As such they constitute a convenient modeling instrument to deal with…

Logic in Computer Science · Computer Science 2012-09-10 D. Latella , M. Massink , E. P. de Vink

We study question-answering over semi-structured data. We introduce a new way to apply the technique of semantic parsing by applying machine learning only to provide annotations that the system infers to be missing; all the other parsing…

Computation and Language · Computer Science 2017-09-12 Kedar Dhamdhere , Kevin S. McCurley , Mukund Sundararajan , Ankur Taly

The topological interpretation of modal logics provides descriptive languages and proof systems for reasoning about points of topological spaces. Recent work has been devoted to model checking of spatial logics on discrete spatial…

Logic in Computer Science · Computer Science 2020-05-13 Vincenzo Ciancia , Diego Latella , Mieke Massink , Erik de Vink

This research started with an algebra for reasoning about rely/guarantee concurrency for a shared memory model. The approach taken led to a more abstract algebra of atomic steps, in which atomic steps synchronise (rather than interleave)…

Logic in Computer Science · Computer Science 2017-10-11 Ian J. Hayes , Larissa A. Meinicke , Kirsten Winter , Robert J. Colvin

We define a notion of normal form bisimilarity for the untyped call-by-value lambda calculus extended with the delimited-control operators shift and reset. Normal form bisimilarities are simple, easy-to-use behavioral equivalences which…

Programming Languages · Computer Science 2012-02-29 Dariusz Biernacki , Serguei Lenglet

We present a new approach for obtaining quantum quasi-probability distributions, $P(\alpha,\beta)$, for two arbitrary operators, $\mathbf{a}$ and $\mathbf{b}$, where $\alpha$ and $\beta$ are the corresponding c-variables. We show that the…

Quantum Physics · Physics 2020-03-13 J. S. Ben-Benjamin , L. Cohen

Metastability is a common obstacle to performing long molecular dynamics simulations. Many numerical methods have been proposed to overcome it. One method is parallel replica dynamics, which relies on the rapid convergence of the underlying…

Numerical Analysis · Mathematics 2015-05-20 Andrew Binder , Tony Lelièvre , Gideon Simpson

Although Gillespie's algorithm is justified under a set of axioms based on the assumption of homogeneity of the system, many chemical systems deviate from this assumption, as is the case for reactions taking place in low-mobility media.…

Chemical Physics · Physics 2024-05-08 José Bastardo , Ney Luiggi

We propose an extension with immediate multiactions of discrete time stochastic Petri Box Calculus (dtsPBC), presented by I.V. Tarasyuk. The resulting algebra dtsiPBC is a discrete time analogue of stochastic Petri Box Calculus (sPBC) with…

Logic in Computer Science · Computer Science 2017-02-27 Igor V. Tarasyuk , Hermenegilda Macià , Valentín Valero

We study the validity of an averaging principle for a slow-fast system of stochastic reaction diffusion equations. We assume here that the coefficients of the fast equation depend on time, so that the classical formulation of the averaging…

Probability · Mathematics 2016-02-19 Sandra Cerrai , Alessandra Lunardi

In this paper we present an information flow security property for stochastic, cooperating, processes expressed as terms of the Performance Evaluation Process Algebra (PEPA). We introduce the notion of Persistent Stochastic Non-Interference…

Performance · Computer Science 2018-08-28 Jane Hillston , Carla Piazza , Sabina Rossi

We offer a natural and extensible measure-theoretic treatment of missingness at random. Within the standard missing data framework, we give a novel characterisation of the observed data as a stopping-set sigma algebra. We demonstrate that…

Methodology · Statistics 2018-01-23 Daniel Farewell , Rhian Daniel , Shaun Seaman

We address the problem of estimating unknown model parameters and state variables in stochastic reaction processes when only sparse and noisy measurements are available. Using an asymptotic system size expansion for the backward equation we…

Data Analysis, Statistics and Probability · Physics 2010-07-02 Andreas Ruttor , Manfred Opper

This paper explores the well known approximation approach to decide weak bisimilarity of Basic Parallel Processes. We look into how different refinement functions can be used to prove weak bisimilarity decidable for certain subclasses. We…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Piotr Hofman , Patrick Totzke

A quantitative model of concurrent interaction is introduced. The basic objects are linear combinations of partial order relations, acted upon by a group of permutations that represents potential non-determinism in synchronisation. This…

Logic in Computer Science · Computer Science 2011-07-08 Emmanuel Beffara

This paper is concerned with a detailed comparison of two different abstraction techniques for the construction of finite state symbolic models for controller synthesis of hybrid systems. Namely, we compare quotient based abstractions…

Systems and Control · Computer Science 2015-07-28 Anne-Kathrin Schmuck , Paulo Tabuada , Jörg Raisch