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39
Shortcut Deforestation in Calculational Form
 In Proc. Conference on Functional Programming Languages and Computer Architecture
, 1995
"... In functional programming, intermediate data structures are often used to "glue" together small programs. Deforestation is a program transformation to remove these intermediate data structures automatically. We present a simple algorithm for deforestation based on two fusion rules for hylo ..."
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Cited by 93 (3 self)
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In functional programming, intermediate data structures are often used to "glue" together small programs. Deforestation is a program transformation to remove these intermediate data structures automatically. We present a simple algorithm for deforestation based on two fusion rules for hylomorphism, an expressive recursion pattern. A generic notation for hylomorphisms is introduced, where natural transformations are explicitly factored out, and it is used to represent programs. Our method successfully eliminates intermediate data structures of any algebraic type from a much larger class of compositional functional programs than previous techniques. 1 Introduction In functional programming, programs are often constructed by "gluing" together small components, using intermediate data structures to convey information between them. Such data are constructed in one component and later consumed in another component, but never appear in the result of the whole program. The compositional styl...
A library of constructive skeletons for sequential style of parallel programming
 In InfoScale ’06: Proceedings of the 1st international conference on Scalable information systems, volume 152 of ACM International Conference Proceeding Series
, 2006
"... With the increasing popularity of parallel programming environments such as PC clusters, more and more sequential programmers, with little knowledge about parallel architectures and parallel programming, are hoping to write parallel programs. Numerous attempts have been made to develop highlevel pa ..."
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Cited by 17 (8 self)
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With the increasing popularity of parallel programming environments such as PC clusters, more and more sequential programmers, with little knowledge about parallel architectures and parallel programming, are hoping to write parallel programs. Numerous attempts have been made to develop highlevel parallel programming libraries that use abstraction to hide lowlevel concerns and reduce difficulties in parallel programming. Among them, libraries of parallel skeletons have emerged as a promising way towards this direction. Unfortunately, these libraries are not well accepted by sequential programmers, because of incomplete elimination of lowerlevel details, adhoc selection of library functions, unsatisfactory performance, or lack of convincing application examples. This paper addresses principle of designing skeleton libraries of parallel programming and reports implementation details and practical applications of a skeleton library SkeTo. The SkeTo library is unique in its feature that it has a solid theoretical foundation based on the theory of Constructive Algorithmics, and is practical to be used to describe various parallel computations in a sequential manner. 1.
Calculating Accumulations
, 1999
"... this paper, we shall formulate accumulations as higher order catamorphisms , and propose several general transformation rules for calculating accumulations (i.e., finding and manipulating accumulations) by calculationbased (rather than a searchbased) program transformation methods. Some examples ..."
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Cited by 17 (6 self)
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this paper, we shall formulate accumulations as higher order catamorphisms , and propose several general transformation rules for calculating accumulations (i.e., finding and manipulating accumulations) by calculationbased (rather than a searchbased) program transformation methods. Some examples are given for illustration.
Fusion of recursive programs with computational effects
 Theoretical Computer Science
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Generic accumulations
 In IFIP TC2/WG2.1 Working Conference on Generic Programming
, 2003
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Make it Practical: A Generic LinearTime Algorithm for Solving MaximumWeightsum Problems
 In Proceedings of the 5th ACM SIGPLAN International Conference on Functional Programming (ICFP'00
, 2000
"... In this paper we propose a new method for deriving a practical lineartime algorithm from the specification of a maximumweight sum problem: From the elements of a data structure x, find a subset which satisfies a certain property p and whose weightsum is maximum. Previously proposed methods for aut ..."
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Cited by 12 (8 self)
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In this paper we propose a new method for deriving a practical lineartime algorithm from the specification of a maximumweight sum problem: From the elements of a data structure x, find a subset which satisfies a certain property p and whose weightsum is maximum. Previously proposed methods for automatically generating lineartime algorithms are theoretically appealing, but the algorithms generated are hardly useful in practice due to a huge constant factor for space and time. The key points of our approach are to express the property p by a recursive boolean function over the structure x rather than a usual logical predicate and to apply program transformation techniques to reduce the constant factor. We present an optimization theorem, give a calculational strategy for applying the theorem, and demonstrate the effectiveness of our approach through several nontrivial examples which would be difficult to deal with when using the methods previously available.
Promotional Transformation on Monadic Programs
, 1995
"... this paper, we propose a new theory on monadic catamorphism bymoving Fokkinga's assumption on the monad to the condition of a map between monadic algebras so that our theory is valid for arbitrary monads including, for example, the state monad that is not allowed in Fokkinga's theory. Our ..."
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Cited by 9 (0 self)
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this paper, we propose a new theory on monadic catamorphism bymoving Fokkinga's assumption on the monad to the condition of a map between monadic algebras so that our theory is valid for arbitrary monads including, for example, the state monad that is not allowed in Fokkinga's theory. Our theory covers Fokkinga's as a special case. Moreover, Meijer and Jeuring's informal transformation rules of monadic programs in their case study is actually an instance of our general promotion theorem.
Bottomup Grammar Analysis  A Functional Formulation
 PROCEEDINGS PROGRAMMING LANGUAGES AND SYSTEMSESOP '94
, 1994
"... This paper discusses bottomup grammar analysis problems such as the Empty problem and the First problem. It defines a general class of bottom up grammar analysis problems, and from this definition it derives a functional program for performing bottomup grammar analysis. The derivation is purely ..."
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Cited by 7 (3 self)
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This paper discusses bottomup grammar analysis problems such as the Empty problem and the First problem. It defines a general class of bottom up grammar analysis problems, and from this definition it derives a functional program for performing bottomup grammar analysis. The derivation is purely calculational, using theorems from lattice theory, the BirdMeertens calculus, and laws for listcomprehensions. Sufficient conditions guaranteeing the existence of a solution emerge as a byproduct of the calculation. The resulting program is used to construct programs for the Empty problem and the First problem.
Constructing Functional Programs for Grammar Analysis Problems
 In Conference Record of FPCA '95, SIGPLANSIGARCHWG2.8 Conference on Functional Programming Languages and Computer Architecture
, 1995
"... This paper discusses the derivation of functional programs for grammar analysis problems, such as the Empty problem and the Reachable problem. Grammar analysis problems can be divided into two classes: topdown problems such as Follow and Reachable, which are described in terms of the contexts of n ..."
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Cited by 7 (3 self)
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This paper discusses the derivation of functional programs for grammar analysis problems, such as the Empty problem and the Reachable problem. Grammar analysis problems can be divided into two classes: topdown problems such as Follow and Reachable, which are described in terms of the contexts of nonterminals, and bottomup problems such as Empty and First, which do not refer to contexts. In a previous paper we derive a program for bottomup grammar analysis problems. In this paper we derive a program for topdown grammar analysis problems by transforming the specification of an arbitrary topdown problem into a program. The existence of a solution is guaranteed provided some natural conditions are satisfied. Furthermore, we describe a general transformation that applies to both classes of grammar analysis problems. The result of this transformation is a program that avoids unnecessary computations in the computation of a fixed point. Constructor classes, which are used to abstract fr...
Calculating a New Data Mining Algorithm for Market Basket Analysis
, 2000
"... The general goal of data mining is to extract interesting correlated information from large ..."
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Cited by 6 (1 self)
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The general goal of data mining is to extract interesting correlated information from large