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25
On perfect supercompilation
 Journal of Functional Programming
, 1996
"... We extend positive supercompilation to handle negative as well as positive information. This is done by instrumenting the underlying unfold rules with a small rewrite system that handles constraints on terms, thereby ensuring perfect information propagation. We illustrate this by transforming a na ..."
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Cited by 79 (3 self)
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We extend positive supercompilation to handle negative as well as positive information. This is done by instrumenting the underlying unfold rules with a small rewrite system that handles constraints on terms, thereby ensuring perfect information propagation. We illustrate this by transforming a naively specialised string matcher into an optimal one. The presented algorithm is guaranteed to terminate by means of generalisation steps.
An Algorithm of Generalization in Positive Supercompilation
 Proceedings of ILPS'95, the International Logic Programming Symposium
, 1995
"... This paper presents a termination technique for positive supercompilation, based on notions from term algebra. The technique is not particularily biased towards positive supercompilation, but also works for deforestation and partial evaluation. It appears to be well suited for partial deduction too. ..."
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Cited by 74 (2 self)
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This paper presents a termination technique for positive supercompilation, based on notions from term algebra. The technique is not particularily biased towards positive supercompilation, but also works for deforestation and partial evaluation. It appears to be well suited for partial deduction too. The technique guarantees termination, yet it is not overly conservative. Our technique can be viewed as an instance of Martens ' and Gallagher's recent framework for global termination of partial deduction, but it is more general in some important respects, e.g. it uses wellquasi orderings rather than wellfounded orderings. Its merits are illustrated on several examples.
Logic program specialisation through partial deduction: Control issues
 THEORY AND PRACTICE OF LOGIC PROGRAMMING
, 2002
"... Program specialisation aims at improving the overall performance of programs by performing source to source transformations. A common approach within functional and logic programming, known respectively as partial evaluation and partial deduction, is to exploit partial knowledge about the input. It ..."
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Cited by 54 (12 self)
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Program specialisation aims at improving the overall performance of programs by performing source to source transformations. A common approach within functional and logic programming, known respectively as partial evaluation and partial deduction, is to exploit partial knowledge about the input. It is achieved through a wellautomated application of parts of the BurstallDarlington unfold/fold transformation framework. The main challenge in developing systems is to design automatic control that ensures correctness, efficiency, and termination. This survey and tutorial presents the main developments in controlling partial deduction over the past 10 years and analyses their respective merits and shortcomings. It ends with an assessment of current achievements and sketches some remaining research challenges.
Partial Deduction and Driving are Equivalent
, 1994
"... Partial deduction and driving are two methods used for program specialization in logic and functional languages, respectively. We argue that both techniques achieve essentially the same transformational effect by unificationbased information propagation. We show their equivalence by analyzing the ..."
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Cited by 46 (10 self)
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Partial deduction and driving are two methods used for program specialization in logic and functional languages, respectively. We argue that both techniques achieve essentially the same transformational effect by unificationbased information propagation. We show their equivalence by analyzing the definition and construction principles underlying partial deduction and driving, and by giving a translation from a functional language to a definite logic language preserving certain properties. We discuss residual program generation, termination issues, and related other techniques developed for program specialization in logic and functional languages.
Specialization of Lazy Functional Logic Programs
 IN PROC. OF THE ACM SIGPLAN CONF. ON PARTIAL EVALUATION AND SEMANTICSBASED PROGRAM MANIPULATION, PEPM'97, VOLUME 32, 12 OF SIGPLAN NOTICES
, 1997
"... Partial evaluation is a method for program specialization based on fold/unfold transformations [8, 25]. Partial evaluation of pure functional programs uses mainly static values of given data to specialize the program [15, 44]. In logic programming, the socalled static/dynamic distinction is hard ..."
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Cited by 37 (23 self)
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Partial evaluation is a method for program specialization based on fold/unfold transformations [8, 25]. Partial evaluation of pure functional programs uses mainly static values of given data to specialize the program [15, 44]. In logic programming, the socalled static/dynamic distinction is hardly present, whereas considerations of determinacy and choice points are far more important for control [12]. We discuss these issues in the context of a (lazy) functional logic language. We formalize a twophase specialization method for a nonstrict, first order, integrated language which makes use of lazy narrowing to specialize the program w.r.t. a goal. The basic algorithm (first phase) is formalized as an instance of the framework for the partial evaluation of functional logic programs of [2, 3], using lazy narrowing. However, the results inherited by [2, 3] mainly regard the termination of the PE method, while the (strong) soundness and completeness results must be restated for the lazy strategy. A postprocessing renaming scheme (second phase) is necessary which we describe and illustrate on the wellknown matching example. This phase is essential also for other nonlazy narrowing strategies, like innermost narrowing, and our method can be easily extended to these strategies. We show that our method preserves the lazy narrowing semantics and that the inclusion of simplification steps in narrowing derivations can improve control during specialization.
A Roadmap to Metacomputation by Supercompilation
, 1996
"... This paper gives a gentle introduction to Turchin's supercompilation and its applications in metacomputation with an emphasis on recent developments. First, a complete supercompiler, including positive driving and generalization, is defined for a functional language and illustrated with examples. Th ..."
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Cited by 35 (4 self)
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This paper gives a gentle introduction to Turchin's supercompilation and its applications in metacomputation with an emphasis on recent developments. First, a complete supercompiler, including positive driving and generalization, is defined for a functional language and illustrated with examples. Then a taxonomy of related transformers is given and compared to the supercompiler. Finally, we put supercompilation into the larger perspective of metacomputation and consider three metacomputation tasks: specialization, composition, and inversion.
The Universal Resolving Algorithm: Inverse Computation in a Functional Language
 in Mathematics of Program Construction. Proceedings
, 2000
"... We present an algorithm for inverse computation in a firstorder functional language based on the notion of a perfect process tree. The Universal Resolving Algorithm (URA) introduced in this paper is sound and complete, and computes each solution, if it exists, in finite time. The algorithm has been ..."
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Cited by 23 (3 self)
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We present an algorithm for inverse computation in a firstorder functional language based on the notion of a perfect process tree. The Universal Resolving Algorithm (URA) introduced in this paper is sound and complete, and computes each solution, if it exists, in finite time. The algorithm has been implemented for TSG, a typed dialect of SGraph, and shows some remarkable results for the inverse computation of functional programs such as pattern matching and the inverse interpretation of Whileprograms.
AbstractionBased Partial Deduction for Solving Inverse Problems  A Transformational Approach to Software Verification (Extended Abstract)
, 2000
"... We present an approach to software verification by program inversion, exploiting recent progress in the field of automatic program transformation, partial deduction and abstract interpretation. Abstractionbased partial deduction can work on infinite state spaces and produce finite representations o ..."
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Cited by 16 (11 self)
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We present an approach to software verification by program inversion, exploiting recent progress in the field of automatic program transformation, partial deduction and abstract interpretation. Abstractionbased partial deduction can work on infinite state spaces and produce finite representations of infinite solution sets. We illustrate the potential of this approach for infinite mo...
A SelfApplicable Supercompiler
 In Partial Evaluation. Proceedings
, 1996
"... A supercompiler is a program which can perform a deep transformation of programs using a principle which is similar to partial evaluation, and can be referred to as metacomputation. Supercompilers that have been in existence up to now (see [12], [13]) were not selfapplicable: this is a more di cult ..."
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Cited by 14 (1 self)
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A supercompiler is a program which can perform a deep transformation of programs using a principle which is similar to partial evaluation, and can be referred to as metacomputation. Supercompilers that have been in existence up to now (see [12], [13]) were not selfapplicable: this is a more di cult problem than selfapplication of a partial evaluator, because of the more intricate logic of supercompilation. In the present paper we describe the rst selfapplicable model of a supercompiler and present some tests. Three features distinguish it from the previous models and make selfapplication possible: (1) The input language is a subset of Refal which we refer to as at Refal. (2) The process of driving is performed as a transformation of patternmatching graphs. (3) Metasystem jumps are implemented, which allows the supercompiler to avoid interpretation whenever direct computation is possible.
Principles of Inverse Computation and the Universal Resolving Algorithm
 IN THE ESSENCE OF COMPUTATION: COMPLEXITY, ANALYSIS, TRANSFORMATION
, 2002
"... We survey fundamental concept in inverse programming and present the Universal Resolving Algorithm (URA), an algorithm for inverse computation in a firstorder, functional programming language. We discusst he principles behind the algorithm, including a threestep approach based on the notion of a p ..."
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Cited by 13 (2 self)
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We survey fundamental concept in inverse programming and present the Universal Resolving Algorithm (URA), an algorithm for inverse computation in a firstorder, functional programming language. We discusst he principles behind the algorithm, including a threestep approach based on the notion of a perfect process tree, and demonstrate our implementation with several examples. We explaint he idea of a semantics modifier for inverse computation which allows us to perform inverse computation in other programming languages via interpreters.