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Hierarchical Proof Structures
"... Abstract. Motivated by structure arising in tacticbased theorem proving, we develop the concept of hierarchical proof tree or hiproof by characterising a geometrically natural definition in terms of its family of proof views. We first recall a definition of hierarchical proof tree, explaining its a ..."
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Abstract. Motivated by structure arising in tacticbased theorem proving, we develop the concept of hierarchical proof tree or hiproof by characterising a geometrically natural definition in terms of its family of proof views. We first recall a definition of hierarchical proof tree, explaining its
Tactics for Hierarchical Proof
"... Abstract. There is something of a discontinuity at the heart of popular tactical theorem provers. Lowlevel, fullychecked mechanical proofs are large trees consisting of primitive logical inferences. Meanwhile, highlevel human inputs are lexically structured formal texts which include tactics desc ..."
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Cited by 2 (1 self)
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. We propose the use of hierarchical proofs, also known as hiproofs, to help bridge these levels. Hiproofs superimpose a labelled hierarchical nesting on an ordinary proof tree, abstracting from the underlying logic. The labels and nesting are used to describe the organisation of the proof, typically
A theoretical analysis of hierarchical proofs
 In Asperti et al
, 2003
"... www.uclic.ucl.ac.uk/imp Abstract. Hierarchical proof presentations are ubiquitous within logic and computer science, but have made little impact on mathematics in general. The reasons for this are not currently known, and need to be understood if mathematical knowledge management systems are to gain ..."
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www.uclic.ucl.ac.uk/imp Abstract. Hierarchical proof presentations are ubiquitous within logic and computer science, but have made little impact on mathematics in general. The reasons for this are not currently known, and need to be understood if mathematical knowledge management systems
Hierarchical correctness proofs for distributed algorithms
, 1987
"... Abstract: We introduce the inputoutput automaton, a simple but powerful model of computation in asynchronous distributed networks. With this model we are able to construct modular, hierarchical correctness proofs for distributed algorithms. We de ne this model, and give aninteresting example of how ..."
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Cited by 439 (66 self)
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Abstract: We introduce the inputoutput automaton, a simple but powerful model of computation in asynchronous distributed networks. With this model we are able to construct modular, hierarchical correctness proofs for distributed algorithms. We de ne this model, and give aninteresting example
Towards the Use of Methods in Hierarchical Proof Planning
, 1996
"... Introduction I present a geometry example psychologically investigated in [1]. In his 1984 article, Anderson discovers that humans use proof plans that are abstract representations of proofs. He contrasts a human proof plan with an assertionlevel proof of a geometry problem and finds that certain ..."
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steps in the proof plan are more complex than steps of the corresponding proof. I analyze why these steps are more complex than others and draw generalized conclusions for the use of our methods at differeent hierarchical levels and for the control in hierarchical proof planning. 2 The Geometry Example
Hierarchical Reinforcement Learning with the MAXQ Value Function Decomposition
 Journal of Artificial Intelligence Research
, 2000
"... This paper presents a new approach to hierarchical reinforcement learning based on decomposing the target Markov decision process (MDP) into a hierarchy of smaller MDPs and decomposing the value function of the target MDP into an additive combination of the value functions of the smaller MDPs. Th ..."
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Cited by 439 (6 self)
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This paper presents a new approach to hierarchical reinforcement learning based on decomposing the target Markov decision process (MDP) into a hierarchy of smaller MDPs and decomposing the value function of the target MDP into an additive combination of the value functions of the smaller MDPs
A rapid hierarchical radiosity algorithm
 Computer Graphics
, 1991
"... This paper presents a rapid hierarchical radiosity algorithm for illuminating scenes containing lar e polygonal patches. The afgorithm constructs a hierarchic“J representation of the form factor matrix by adaptively subdividing patches into su bpatches according to a usersupplied error bound. The a ..."
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Cited by 412 (11 self)
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This paper presents a rapid hierarchical radiosity algorithm for illuminating scenes containing lar e polygonal patches. The afgorithm constructs a hierarchic“J representation of the form factor matrix by adaptively subdividing patches into su bpatches according to a usersupplied error bound
Logic Programming with Focusing Proofs in Linear Logic
 Journal of Logic and Computation
, 1992
"... The deep symmetry of Linear Logic [18] makes it suitable for providing abstract models of computation, free from implementation details which are, by nature, oriented and non symmetrical. I propose here one such model, in the area of Logic Programming, where the basic computational principle is C ..."
Bursty and Hierarchical Structure in Streams
, 2002
"... A fundamental problem in text data mining is to extract meaningful structure from document streams that arrive continuously over time. Email and news articles are two natural examples of such streams, each characterized by topics that appear, grow in intensity for a period of time, and then fade aw ..."
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Cited by 385 (2 self)
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A fundamental problem in text data mining is to extract meaningful structure from document streams that arrive continuously over time. Email and news articles are two natural examples of such streams, each characterized by topics that appear, grow in intensity for a period of time, and then fade away. The published literature in a particular research field can be seen to exhibit similar phenomena over a much longer time scale. Underlying much of the text mining work in this area is the following intuitive premise  that the appearance of a topic in a document stream is signaled by a "burst of activity," with certain features rising sharply in frequency as the topic emerges.
Monitors: An Operating System Structuring Concept
 Communications of the ACM
, 1974
"... This is a digitized copy derived from an ACM copyrighted work. It is not guaranteed to be an accurate copy of the author's original work. This paper develops BrinchHansen's concept of a monitor as a method of structuring an operating system. It introduces a form of synchronization, descri ..."
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Cited by 561 (0 self)
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, describes a possible rnctltotl of implementation in terms of semaphorcs and gives a suitable proof rule. Illustrative examples include a single rcsourcc scheduler, a bounded buffer, an alarm clock, a buffer pool, a disk head optimizer, and a version of the problem of readers and writers. Key Words
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