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A Higher-Order Graph Calculus for Autonomic Computing

by Oana Andrei, Hélène Kirchner - GRAPH THEORY, COMPUTATIONAL INTELLIGENCE AND THOUGHT. A CONFERENCE CELEBRATING MARTIN CHARLES GOLUMBIC'S 60TH BIRTHDAY (2008) , 2008
"... In this paper, we present a high-level formalism based on port graph rewriting, strategic rewriting, and rewriting calculus. We argue that this formalism is suitable for modeling autonomic systems and briefly illustrate its expressivity for modeling properties of such systems. ..."
Abstract - Cited by 7 (1 self) - Add to MetaCart
In this paper, we present a high-level formalism based on port graph rewriting, strategic rewriting, and rewriting calculus. We argue that this formalism is suitable for modeling autonomic systems and briefly illustrate its expressivity for modeling properties of such systems.

A calculus of mobile processes, I

by Robin Milner, et al. , 1992
"... We present the a-calculus, a calculus of communicating systems in which one can naturally express processes which have changing structure. Not only may the component agents of a system be arbitrarily linked, but a communication between neighbours may carry information which changes that linkage. The ..."
Abstract - Cited by 1184 (31 self) - Add to MetaCart
of higher-order functions (the I-calculus and com-binatory algebra), the transmission of processes as values, and the representation of data structures as processes. The paper continues by presenting the algebraic theory of strong bisimilarity and strong equivalence, including a new notion of equivalence

Tensor Decompositions and Applications

by Tamara G. Kolda, Brett W. Bader - SIAM REVIEW , 2009
"... This survey provides an overview of higher-order tensor decompositions, their applications, and available software. A tensor is a multidimensional or N -way array. Decompositions of higher-order tensors (i.e., N -way arrays with N ≥ 3) have applications in psychometrics, chemometrics, signal proce ..."
Abstract - Cited by 723 (18 self) - Add to MetaCart
processing, numerical linear algebra, computer vision, numerical analysis, data mining, neuroscience, graph analysis, etc. Two particular tensor decompositions can be considered to be higher-order extensions of the matrix singular value decompo- sition: CANDECOMP/PARAFAC (CP) decomposes a tensor as a sum

Symbolic Model Checking: 10^20 States and Beyond

by J. R. Burch, E. M. Clarke, K. L. McMillan, D. L. Dill, L. J. Hwang , 1992
"... Many different methods have been devised for automatically verifying finite state systems by examining state-graph models of system behavior. These methods all depend on decision procedures that explicitly represent the state space using a list or a table that grows in proportion to the number of st ..."
Abstract - Cited by 758 (41 self) - Add to MetaCart
Many different methods have been devised for automatically verifying finite state systems by examining state-graph models of system behavior. These methods all depend on decision procedures that explicitly represent the state space using a list or a table that grows in proportion to the number

Fusion, Propagation, and Structuring in Belief Networks

by Judea Pearl - ARTIFICIAL INTELLIGENCE , 1986
"... Belief networks are directed acyclic graphs in which the nodes represent propositions (or variables), the arcs signify direct dependencies between the linked propositions, and the strengths of these dependencies are quantified by conditional probabilities. A network of this sort can be used to repre ..."
Abstract - Cited by 484 (8 self) - Add to MetaCart
Belief networks are directed acyclic graphs in which the nodes represent propositions (or variables), the arcs signify direct dependencies between the linked propositions, and the strengths of these dependencies are quantified by conditional probabilities. A network of this sort can be used

Robust Higher Order Potentials for Enforcing Label Consistency

by P. Kohli, L. Ladický, P. H. S. Torr , 2009
"... This paper proposes a novel framework for labelling problems which is able to combine multiple segmentations in a principled manner. Our method is based on higher order conditional random fields and uses potentials defined on sets of pixels (image segments) generated using unsupervised segmentation ..."
Abstract - Cited by 259 (34 self) - Add to MetaCart
This paper proposes a novel framework for labelling problems which is able to combine multiple segmentations in a principled manner. Our method is based on higher order conditional random fields and uses potentials defined on sets of pixels (image segments) generated using unsupervised segmentation

A Higher-Order Duration Calculus

by Zhou Chaochen, Dimitar Guelev, Zhan Naijun - Millenial Perspectives in Computer Science. Proceedings of the 1999 Oxford-Microsoft Symposium in Honour of Professor Sir Anthony Hoare, Palgrave , 1999
"... Calculus (DC) which can specify real-time requirements of computing system. This paper investigates how real-time behaviour of programs can be described within this logical framework. In order to describe local variable declaration, quantifications over program variables are inevitable, and therefor ..."
Abstract - Cited by 33 (9 self) - Add to MetaCart
, and therefore a higherorder DC is established in the paper. This higher-order DC has a complete proof system, if we assume finite variability of program variables. Zhou Chaochen is the Director of UNU/IIST, on leave of absence from the Software Institute, the Chinese Academy of Sciences, where he is a Professor

A Calculus of Mobile Processes, Part I

by Robin Milner, Joachim Parrow, David Walker - I AND II. INFORMATION AND COMPUTATION , 1989
"... We present the ß-calculus, a calculus of communicating systems in which one can naturally express processes which have changing structure. Not only may the component agents of a system be arbitrarily linked, but a communication between neighbours may carry information which changes that linkage. The ..."
Abstract - Cited by 219 (4 self) - Add to MetaCart
into the ß- calculus of higher-order functions (the -calculus and combinatory algebra), the tr...

Completeness of Higher-Order Duration Calculus

by Zhan Naijun - UNU/IIST Report No.175, UNU/IIST, International Institute for Software Technology, P.O. Box 3058 , 1999
"... In order to describe the real-time behaviours of programs in terms of Duration Calculus, proposed by Zhou Chaochen, C.A.R. Hoare and A.P. Ravn in [5], which can specify real-time requirements of computing systems, quantifications over program variables are inevitable, e.g. to describe local variable ..."
Abstract - Cited by 5 (2 self) - Add to MetaCart
variable declaration, to declare local channel and so on. So a higher-order duration calculus (abbreviated HDC) is established in [2]. This paper proves the completeness of HDC on abstract domains by encoding HDC to first order two-sorted interval temporal logic. This idea is hinted by [13]. All results

Higher-order narrowing with definitional trees

by Michael Hanus, Christian Prehofer - Neural Computation , 1996
"... Functional logic languages with a sound and complete operational semantics are mainly based on narrowing. Due to the huge search space of simple narrowing, steadily improved narrowing strategies have been developed in the past. Needed narrowing is currently the best narrowing strategy for first-ord ..."
Abstract - Cited by 78 (23 self) - Add to MetaCart
functional logic programs due to its optimality properties w.r.t. the length of derivations and the number of computed solutions. In this paper, we extend the needed narrowing strategy to higher-order functions and λ-terms as data structures. By the use of definitional trees, our strategy computes only
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