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The Theory of Hybrid Automata

by Thomas A. Henzinger , 1996
"... A hybrid automaton is a formal model for a mixed discrete-continuous system. We classify hybrid automata acoording to what questions about their behavior can be answered algorithmically. The classification reveals structure on mixed discrete-continuous state spaces that was previously studied on pur ..."
Abstract - Cited by 680 (13 self) - Add to MetaCart
on purely discrete state spaces only. In particular, various classes of hybrid automata induce finitary trace equivalence (or similarity, or bisimilarity) relations on an uncountable state space, thus permitting the application of various model-checking techniques that were originally developed for finite

Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems

by Rajeev Alur, Costas Courcoubetis, Thomas A. Henzinger, Pei-Hsin Ho , 1992
"... We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many of the examp ..."
Abstract - Cited by 460 (20 self) - Add to MetaCart
We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many

A theory of timed automata

by Rajeev Alur , 1999
"... Model checking is emerging as a practical tool for automated debugging of complex reactive systems such as embedded controllers and network protocols (see [23] for a survey). Traditional techniques for model checking do not admit an explicit modeling of time, and are thus, unsuitable for analysis of ..."
Abstract - Cited by 2651 (32 self) - Add to MetaCart
using finitely many real-valued clock variables. Automated analysis of timed automata relies on the construction of a finite quotient of the infinite space of clock valuations. Over the years, the formalism has been extensively studied leading to many results establishing connections to circuits

Interface Automata

by Luca de Alfaro, Thomas A. Henzinger - Proceedings of the Ninth Annual Symposium on Foundations of Software Engineering (FSE), ACM , 2001
"... Conventional type systems specify interfaces in terms of values and domains. ..."
Abstract - Cited by 455 (23 self) - Add to MetaCart
Conventional type systems specify interfaces in terms of values and domains.

Simulating Physics with Computers

by Richard Feynman, Peter W. Shor - SIAM Journal on Computing , 1982
"... A digital computer is generally believed to be an efficient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time of at most a polynomial factor. This may not be true when quantum mechanics is taken into consideration. ..."
Abstract - Cited by 601 (1 self) - Add to MetaCart
computer. These algorithms take a number of steps polynomial in the input size, e.g., the number of digits of the integer to be factored. AMS subject classifications: 82P10, 11Y05, 68Q10. 1 Introduction One of the first results in the mathematics of computation, which underlies the subsequent development

A computational approach to edge detection

by John Canny - IEEE Transactions on Pattern Analysis and Machine Intelligence , 1986
"... Abstract-This paper describes a computational approach to edge detection. The success of the approach depends on the definition of a comprehensive set of goals for the computation of edge points. These goals must be precise enough to delimit the desired behavior of the detector while making minimal ..."
Abstract - Cited by 4621 (0 self) - Add to MetaCart
Abstract-This paper describes a computational approach to edge detection. The success of the approach depends on the definition of a comprehensive set of goals for the computation of edge points. These goals must be precise enough to delimit the desired behavior of the detector while making minimal

A survey of general-purpose computation on graphics hardware

by John D. Owens, David Luebke, Naga Govindaraju, Mark Harris, Jens Krüger, Aaron E. Lefohn, Tim Purcell , 2007
"... The rapid increase in the performance of graphics hardware, coupled with recent improvements in its programmability, have made graphics hardware acompelling platform for computationally demanding tasks in awide variety of application domains. In this report, we describe, summarize, and analyze the l ..."
Abstract - Cited by 545 (18 self) - Add to MetaCart
The rapid increase in the performance of graphics hardware, coupled with recent improvements in its programmability, have made graphics hardware acompelling platform for computationally demanding tasks in awide variety of application domains. In this report, we describe, summarize, and analyze

Formalising trust as a computational concept

by Stephen Paul Marsh , 1994
"... Trust is a judgement of unquestionable utility — as humans we use it every day of our lives. However, trust has suffered from an imperfect understanding, a plethora of definitions, and informal use in the literature and in everyday life. It is common to say “I trust you, ” but what does that mean? T ..."
Abstract - Cited by 518 (5 self) - Add to MetaCart
? This thesis provides a clarification of trust. We present a formalism for trust which provides us with a tool for precise discussion. The formalism is implementable: it can be embedded in an artificial agent, enabling the agent to make trust-based decisions. Its applicability in the domain of Distributed

Computational Lambda-Calculus and Monads

by Eugenio Moggi , 1988
"... The -calculus is considered an useful mathematical tool in the study of programming languages, since programs can be identified with -terms. However, if one goes further and uses fij-conversion to prove equivalence of programs, then a gross simplification 1 is introduced, that may jeopardise the ..."
Abstract - Cited by 505 (7 self) - Add to MetaCart
the applicability of theoretical results to real situations. In this paper we introduce a new calculus based on a categorical semantics for computations. This calculus provides a correct basis for proving equivalence of programs, independent from any specific computational model. 1 Introduction This paper

Decision-Theoretic Planning: Structural Assumptions and Computational Leverage

by Craig Boutilier, Thomas Dean, Steve Hanks - JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH , 1999
"... Planning under uncertainty is a central problem in the study of automated sequential decision making, and has been addressed by researchers in many different fields, including AI planning, decision analysis, operations research, control theory and economics. While the assumptions and perspectives ..."
Abstract - Cited by 510 (4 self) - Add to MetaCart
-related methods, showing how they provide a unifying framework for modeling many classes of planning problems studied in AI. It also describes structural properties of MDPs that, when exhibited by particular classes of problems, can be exploited in the construction of optimal or approximately optimal policies
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