# Download Formal differentiation: A program synthesis technique (Computer science) fb2

**Robert A Paige**

- Author:Robert A Paige
- ISBN:0835712133
- ISBN13:978-0835712132
- Genre:
- Publisher:UMI Research Press (1981)
- Pages:277 pages
- Subcategory:Mathematics
- Language:
- FB2 format1764 kb
- ePUB format1453 kb
- DJVU format1374 kb
- Rating:4.7
- Votes:943
- Formats:doc txt azw lit

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of Computer Science, University of Caen, Sciences III, Bd. Maréchal Juin, 14032 Caen, France. Automatic differentiation is involved for long in applied mathematics as an alternative to finite difference to improve the accuracy of numerical computation of derivatives. Each time a numerical minimization is involved, automatic differentiation can be used. In between formal derivation and standard numerical schemes, this approach is based on software solutions applying mechanically the chain rule to obtain an exact value for the desired derivative. It has a cost in memory and cpu consumption.

Items related to Formal differentiation: A program synthesis technique. This product is not a traditionally bound book. Many ProQuest UMI products are black-and-white reproductions of original publications produced through the Books On Demand ® program

Items related to Formal differentiation: A program synthesis technique. Paige, Robert A Formal differentiation: A program synthesis technique (Computer science). ISBN 13: 9780835712132. Formal differentiation: A program synthesis technique (Computer science). Many ProQuest UMI products are black-and-white reproductions of original publications produced through the Books On Demand ® program. Alternately, this product may be a photocopy of a dissertation or it may be a collection reproduced on microfiche or microfilm if it is intended for library purchase.

Formal Differentiation: A Program Synthesis Technique, volume 6 of Computer Science and Artificial . Viewing a program transformation system at work.

Formal Differentiation: A Program Synthesis Technique, volume 6 of Computer Science and Artificial Intelligence. dissertation, New York University, 1979. Springer-Verlag, Berlin, Sept.

program synthesis - Cornell Computer Science. At the same time, the implementation of a differentiation technique should not hinder application maintenance, change functional behavior, or result in dramatic. which are related to program synthesis will be discussed briefly in Section 5. work of automated deduction (Green, 1969; Manna & Waldinger, Parametric Timing Analysis - FSU Computer Science - Florida State. performance differences between instances.

Formal differentiation-a program synthesis technique. Program derivation by fixed point computation. Numerous examples illustrate how these techniques for computing and recomputing fixed points can be incorporated within a transformational programming methodology to facilitate the design and verification of nonnumerical algorithms. This book deals with the integration of logic programming and databases to generate new types of systems, which extend the frontiers of computer science in an important direction and fulfil the needs of new applications.

Finite differencing is a program optimization method that generalizes strength reduction, and provides an efficient implementation for a host of program transformations including "iterator inversion

Finite differencing is a program optimization method that generalizes strength reduction, and provides an efficient implementation for a host of program transformations including "iterator inversion. Finite differencing is formally specified in terms of more basic transformations shown to preserve program semantics. Estimates of the speedup that the technique yields are given. A full illustrative example of algorithm derivation is presented. View on ACM. Save to Library.

Differentiation techniques. Functional Differentiation of Computer Programs. by Jerzy Karczmarczuk. Denition of their list of formal derivatives fq, using lazy evaluation (Group class). Motivation & Introduction. Differentiation techniques.