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We observe that the various formulations of the operational semantics of Constraint Handling Rules proposed over the years fall into a spectrum ranging from the analytical to the pragmatic. While existing analytical formulations facilitate…

Logic in Computer Science · Computer Science 2010-07-23 Hariolf Betz , Frank Raiser , Thom Frühwirth

We formalize the semantics of hybrid systems as sets of hybrid trajectories, including those generated by an hybrid transition system. We study the abstraction of hybrid trajectory semantics for verification, static analysis, and…

Logic in Computer Science · Computer Science 2022-09-30 Patrick Cousot

Abstraction is essential for reducing the complexity of systems across diverse fields, yet designing effective abstraction methodology for probabilistic models is inherently challenging due to stochastic behaviors and uncertainties. Current…

Artificial Intelligence · Computer Science 2025-03-03 Nijesh Upreti , Vaishak Belle

In previous works, a tableau calculus has been defined, which constitutes a decision procedure for hybrid logic with the converse and global modalities and a restricted use of the binder. This work shows how to extend such a calculus to…

Logic in Computer Science · Computer Science 2013-12-11 Marta Cialdea Mayer

Sufficiently accurate finite state models, also called symbolic models or discrete abstractions, allow one to apply fully automated methods, originally developed for purely discrete systems, to formally reason about continuous and hybrid…

Optimization and Control · Mathematics 2011-11-03 Gunther Reißig

A central problem in systems biology is to identify parameter values such that a biological model satisfies some behavioral constraints (\eg, time series). In this paper we focus on parameter synthesis for hybrid (continuous/discrete)…

Logic in Computer Science · Computer Science 2014-09-11 Bing Liu , Soonho Kong , Sicun Gao , Paolo Zuliani , Edmund M. Clarke

Information, stored or transmitted in digital form, is often structured. Individual data records are usually represented as hierarchies of their elements. Together, records form larger structures. Information processing applications have to…

Computation and Language · Computer Science 2007-05-23 Nikita Schmidt , Ahmed Patel

We investigate a logic for asynchronous announcements wherein the sending of the messages by the environment is separated from their reception by the individual agents. Both come with different modalities. In the logical semantics, formulas…

Logic in Computer Science · Computer Science 2026-04-29 Philippe Balbiani , Hans van Ditmarsch , Clara Lerouvillois

We consider the problem of extending XML databases with fine-grained, high-level access control policies specified using XPath expressions. Most prior work checks individual updates dynamically, which is expensive (requiring worst-case…

Databases · Computer Science 2013-08-05 James Cheney

Previous work reports about SXSI, a fast XPath engine which executes tree automata over compressed XML indexes. Here, reasons are investigated why SXSI is so fast. It is shown that tree automata can be used as a general framework for fine…

Databases · Computer Science 2015-03-13 Sebastian Maneth , Kim Nguyen

In this paper we prove that no consistent finitely axiomatized theory one-dimensionally interprets its own extension with predicative comprehension. This constitutes a result with the flavor of the Second Incompleteness Theorem whose…

Logic · Mathematics 2021-09-07 Fedor Pakhomov , Albert Visser

We present a complete finite axiomatization of the unrestricted implication problem for inclusion and conditional independence atoms in the context of dependence logic. For databases, our result implies a finite axiomatization of the…

Logic · Mathematics 2013-09-23 Miika Hannula , Juha Kontinen

In recent years, epistemic logics have been extended with operators K_ax for knowledge of (the value of) a variable x (by an agent a). We study dynamic versions of these logics, enriched with modalities for semi-public data-exchange events…

Logic in Computer Science · Computer Science 2025-12-01 Alexandru Baltag , Sonja Smets

The expression problem describes a fundamental tradeoff between two types of extensibility: extending a type with new operations, such as by pattern matching on an algebraic data type in functional programming, and extending a type with new…

Programming Languages · Computer Science 2025-11-21 Bohdan Liesnikov , David Binder , Tim Süberkrüb

The depth-bounded fragment of the pi-calculus is an expressive class of systems enjoying decidability of some important verification problems. Unfortunately membership of the fragment is undecidable. We propose a novel type system,…

Logic in Computer Science · Computer Science 2015-02-24 Emanuele D'Osualdo , Luke Ong

(CROPPED TO FIT IN ARXIV'S SILLY LIMIT. SEE PDF FOR COMPLETE ABSTRACT.) We are the first to thoroughly explore a large space of formal secure compilation criteria based on robust property preservation, i.e., the preservation of properties…

Programming Languages · Computer Science 2020-11-18 Carmine Abate , Roberto Blanco , Deepak Garg , Catalin Hritcu , Marco Patrignani , Jérémy Thibault

We present the framework of delta-complete analysis for bounded reachability problems of general hybrid systems. We perform bounded reachability checking through solving delta-decision problems over the reals. The techniques take into…

Systems and Control · Computer Science 2014-04-30 Sicun Gao , Soonho Kong , Wei Chen , Edmund Clarke

We introduce OpSets, an executable framework for specifying and reasoning about the semantics of replicated datatypes that provide eventual consistency in a distributed system, and for mechanically verifying algorithms that implement these…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Martin Kleppmann , Victor B. F. Gomes , Dominic P. Mulligan , Alastair R. Beresford

XML is of great importance in information storage and retrieval because of its recent emergence as a standard for data representation and interchange on the Internet. However XML provides little semantic content and as a result several…

Databases · Computer Science 2007-05-23 Millist W. Vincent , Jixue Liu

We introduce a set of eight universal Rules of Inference by which computer programs with known properties (axioms) are transformed into new programs with known properties (theorems). Axioms are presented to formalize a segment of Number…

Logic in Computer Science · Computer Science 2007-05-23 Charlie Volkstorf