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We introduce a language for formally reasoning about programs that combine differential constructs with probabilistic ones. The language harbours, for example, such systems as adaptive cruise controllers, continuous-time random walks, and…

Logic in Computer Science · Computer Science 2025-07-23 Renato Neves , José Proença , Juliana Souza

Hybrid programs combine digital control with differential equations, and naturally appear in a wide range of application domains, from biology and control theory to real-time software engineering. The entanglement of discrete and continuous…

Logic in Computer Science · Computer Science 2020-10-01 Sergey Goncharov , Renato Neves , José Proença

The original purpose of component-based development was to provide techniques to master complex software, through composition, reuse and parametrisation. However, such systems are rapidly moving towards a level in which software becomes…

Logic in Computer Science · Computer Science 2016-08-02 Renato Neves , Luis S. Barbosa , Dirk Hofmann , Manuel A. Martins

Emerging computational paradigms, such as probabilistic and hybrid programming, introduce new primitive operations that often need to be combined with classic programming constructs. However, it still remains a challenge to provide a…

Logic in Computer Science · Computer Science 2018-04-13 Fredrik Dahlqvist , Renato Neves

Describing systems in terms of choices and their resulting costs and rewards offers the promise of freeing algorithm designers and programmers from specifying how those choices should be made; in implementations, the choices can be realized…

Logic in Computer Science · Computer Science 2024-02-14 Martin Abadi , Gordon Plotkin

This article contains a proposal to add coinduction to the computational apparatus of natural language understanding. This, we argue, will provide a basis for more realistic, computationally sound, and scalable models of natural language…

Computation and Language · Computer Science 2020-12-11 Wlodek W. Zadrozny

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

Hybrid systems are dynamical systems with continuous evolution of states and discrete evolution of states and governing equations. We have worked on the design and implementation of HydLa, a constraint-based modeling language for hybrid…

Programming Languages · Computer Science 2019-10-29 Kazunori Ueda , Hiroshi Hosobe , Daisuke Ishii

We begin by reviewing a technique to approximate the dynamics of stochastic programs --written in a stochastic process algebra-- by a hybrid system, suitable to capture a mixed discrete/continuous evolution. In a nutshell, the discrete…

Programming Languages · Computer Science 2009-10-09 Luca Bortolussi , Alberto Policriti

In recent work, comonads and associated structures have been used to analyse a range of important notions in finite model theory, descriptive complexity and combinatorics. We extend this analysis to Hybrid logic, a widely-studied extension…

Logic in Computer Science · Computer Science 2021-10-20 Samson Abramsky , Dan Marsden

Over the past two decades the notion of a strong monad has found wide applicability in computing. Arising out of a need to interpret products in computational and semantic settings, different approaches to this concept have arisen. In this…

Programming Languages · Computer Science 2013-09-23 Philip Mulry

Many applications of denotational semantics, such as higher-order model checking or the complexity of normalization, rely on finite semantics for monomorphic type systems. We exhibit such a finite semantics for a polymorphic purely linear…

Logic in Computer Science · Computer Science 2019-05-14 Lê Thành Dũng Nguyên

Notions of guardedness serve to delineate admissible recursive definitions in various settings in a compositional manner. In recent work, we have introduced an axiomatic notion of guardedness in symmetric monoidal categories, which serves…

Logic in Computer Science · Computer Science 2021-05-25 Sergey Goncharov , Christoph Rauch , Lutz Schröder

Computation nowadays is becoming inherently concurrent, either because of characteristics of the hardware (with multicore processors becoming omnipresent) or due to the ubiquitous presence of distributed systems (incarnated in the…

Software Engineering · Computer Science 2011-08-01 Mohammad Reza Mousavi , Antonio Ravara

Hyperdimensional (HD) computing is a set of neurally inspired methods for obtaining high-dimensional, low-precision, distributed representations of data. These representations can be combined with simple, neurally plausible algorithms to…

Machine Learning · Computer Science 2022-02-21 Anthony Thomas , Sanjoy Dasgupta , Tajana Rosing

The complexity of modern software systems entails the need for reconfiguration mechanisms gov- erning the dynamic evolution of their execution configurations in response to both external stimulus or internal performance measures. Formally,…

Logic in Computer Science · Computer Science 2013-05-28 Alexandre Madeira , Manuel A. Martins , Luís Soares Barbosa

In probabilistic reasoning, the traditionally discrete domain has been elevated to the hybrid domain encompassing additionally continuous random variables. Inference in the hybrid domain, however, usually necessitates to condone trade-offs…

Artificial Intelligence · Computer Science 2018-07-13 Pedro Zuidberg Dos Martires , Anton Dries , Luc De Raedt

Language has been a dynamic system and word meanings always have been changed over times. Every time a novel concept or sense is introduced, we need to assign it a word to express it. Also, some changes have happened because the result of a…

Computation and Language · Computer Science 2020-03-12 Zahra Shekarchi , Yang Xu

The main contribution of the present paper is the introduction of a simple yet expressive hybrid-dynamic logic for describing quantum programs. This version of quantum logic can express quantum measurements and unitary evolutions of states…

Logic in Computer Science · Computer Science 2024-06-05 Daniel Gaina

We extend the {\lambda}-calculus with constructs suitable for relational and functional-logic programming: non-deterministic choice, fresh variable introduction, and unification of expressions. In order to be able to unify…

Programming Languages · Computer Science 2021-03-02 Pablo Barenbaum , Federico Lochbaum , Mariana Milicich
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