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A Positive Supercompiler
TLDR
The authors consider in detail one wellknown example of program transformation: the transformation of a naive string matcher by specializing it for a given specific pattern into an efficient algorithm known as KMP, and show that while supercompilation and generalized partial computation solve the problem, 'regular' partial evaluation and deforestation cannot do this without a non-trivial modification in the original unspecialized matcher. Expand
An Algorithm of Generalization in Positive Supercompilation
TLDR
The 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 well-quasi orderings rather than well-founded orderings. Expand
Lectures on the Curry-Howard Isomorphism
Preface Outline Acknowledgements 1. Typefree lambda-calculus 2. Intuitionistic logic 3. Simply typed lambdacalculus 4. The Curry-Howard isomorphism 5. Proofs as combinators 6. Classical logic andExpand
Domain-free pure type systems
TLDR
This work presents a variant of pure type systems, which it calls domain-free puretype systems, with domain- free λ-abstractions λx, and studies the basic properties of Domain-freepure type systems and establish their formal relationship with pureType systems. Expand
Lectures on the Curry-Howard Isomorphism, Volume 149 (Studies in Logic and the Foundations of Mathematics)
Description: The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. ForExpand
Conjunctive Partial Deduction: Foundations, Control, Algorithms, and Experiments
TLDR
The implementation has been tested on an extensive set of benchmarks which demonstrate that conjunctive partial deduction indeed pays off, surpassing conventional partial deduction on a range of small to medium-size programs, while remaining manageable in an automatic and terminating system. Expand
Redundant Argument Filtering of Logic Programs
TLDR
A safe, effective approximation of the notion of a redundant argument is given and several simple and efficient algorithms based on the approximative notion are described, illustrating the practical benefits of this approach. Expand
Turchin's Supercompiler Revisited - An operational theory of positive information propagation
Turchin`s supercompiler is a program transformer that includes both partial evaluation and deforestation. Although known in the West since 1979, the essence of its techniques, its more preciseExpand
Partial Deduction and Driving are Equivalent
TLDR
It is argued that both techniques achieve essentially the same transformational effect by unification-based information propagation by giving a translation from a functional language to a definite logic language preserving certain properties. Expand
Introduction to Supercompilation
This paper gives an introduction to Turchin's supercompiler, a program transformer for functional programs which performs optimizations beyond partial evaluation and deforestation. More precisely,Expand
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