Mathematical Theory of Program Correctness

Mathematical Theory of Program Correctness
Author: Jacobus Willem Bakker
Publisher: Prentice Hall
Total Pages: 536
Release: 1980
Genre: Computers
ISBN:

"The third novel in Terry Pratchett and Stephen Baxter's "Long Earth" series, which Io9 calls "a brilliant science fiction collaboration.""--

Mathematical Theory of Computation

Mathematical Theory of Computation
Author: Zohar Manna
Publisher: Courier Dover Publications
Total Pages: 0
Release: 2003
Genre: Computers
ISBN: 9780486432380

With the objective of making into a science the art of verifying computer programs (debugging), the author addresses both practical and theoretical aspects of the process. A classic of sequential program verification, this volume has been translated into almost a dozen other languages and is much in demand among graduate and advanced undergraduate computer science students. Subjects include computability (with discussions of finite automata and Turing machines); predicate calculus (basic notions, natural deduction, and the resolution method); verification of programs (both flowchart and algol-like programs); flowchart schemas (basic notions, decision problems, formalization in predicate calculus, and translation programs); and the fixpoint theory of programs (functions and functionals, recursive programs, and verification programs). The treamtent is self-contained, and each chapter concludes with bibliographic remarks, references, and problems.

Mathematical Foundations of Programming Language Semantics

Mathematical Foundations of Programming Language Semantics
Author: Michael Main
Publisher: Springer Science & Business Media
Total Pages: 652
Release: 1988-03-09
Genre: Mathematics
ISBN: 9783540190202

This volume is the proceedings of the 3rd Workshop on the Mathematical Foundations of Programming Language Semantics held at Tulane University, New Orleans, Louisiana, April 8-10, 1987. The 1st Workshop was at Kansas State University, Manhattan, Kansas in April, 1985 (see LNCS 239), and the 2nd Workshop with a limited number of participants was at Kansas State in April, 1986. It was the intention of the organizers that the 3rd Workshop survey as many areas of the Mathematical Foundations of Programming Language Semantics as reasonably possible. The Workshop attracted 49 submitted papers, from which 28 papers were chosen for presentation. The papers ranged in subject from category theory and Lambda-calculus to the structure theory of domains and power domains, to implementation issues surrounding semantics.

The Calculus of Computation

The Calculus of Computation
Author: Aaron R. Bradley
Publisher: Springer Science & Business Media
Total Pages: 375
Release: 2007-09-18
Genre: Computers
ISBN: 3540741135

Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. The final chapter outlines courses of further study.

Mathematics of Program Construction

Mathematics of Program Construction
Author: Jan L.A. van de Snepscheut
Publisher: Springer Science & Business Media
Total Pages: 436
Release: 1989-06-07
Genre: Computers
ISBN: 9783540513056

The papers included in this volume were presented at the Conference on Mathematics of Program Construction held from June 26 to 30, 1989. The conference was organized by the Department of Computing Science, Groningen University, The Netherlands, at the occasion of the University's 375th anniversary. The creative inspiration of the modern computer has led to the development of new mathematics, the mathematics of program construction. Initially concerned with the posterior verification of computer programs, the mathematics have now matured to the point where they are actively being used for the discovery of elegant solutions to new programming problems. Initially concerned specifically with imperative programming, the application of mathematical methodologies is now established as an essential part of all programming paradigms - functional, logic and object-oriented programming, modularity and type structure etc. Initially concerned with software only, the mathematics are also finding fruit in hardware design so that the traditional boundaries between the two disciplines have become blurred. The varieties of mathematics of program construction are wide-ranging. They include calculi for the specification of sequential and concurrent programs, program transformation and analysis methodologies, and formal inference systems for the construction and analysis of programs. The mathematics of specification, implementation and analysis have become indispensable tools for practical programming.

A Practical Theory of Programming

A Practical Theory of Programming
Author: Eric C.R. Hehner
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2012-09-08
Genre: Computers
ISBN: 1441985964

There are several theories of programming. The first usable theory, often called "Hoare's Logic", is still probably the most widely known. In it, a specification is a pair of predicates: a precondition and postcondition (these and all technical terms will be defined in due course). Another popular and closely related theory by Dijkstra uses the weakest precondition predicate transformer, which is a function from programs and postconditions to preconditions. lones's Vienna Development Method has been used to advantage in some industries; in it, a specification is a pair of predicates (as in Hoare's Logic), but the second predicate is a relation. Temporal Logic is yet another formalism that introduces some special operators and quantifiers to describe some aspects of computation. The theory in this book is simpler than any of those just mentioned. In it, a specification is just a boolean expression. Refinement is just ordinary implication. This theory is also more general than those just mentioned, applying to both terminating and nonterminating computation, to both sequential and parallel computation, to both stand-alone and interactive computation. And it includes time bounds, both for algorithm classification and for tightly constrained real-time applications.

Computational Logic and Set Theory

Computational Logic and Set Theory
Author: Jacob T. Schwartz
Publisher: Springer Science & Business Media
Total Pages: 426
Release: 2011-07-16
Genre: Computers
ISBN: 0857298089

This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.

Encyclopedia of Software Engineering

Encyclopedia of Software Engineering
Author: John J. Marciniak
Publisher: Wiley-Interscience
Total Pages: 1034
Release: 2002
Genre: Computers
ISBN:

Covering all aspects of engineering for practitioners who design, write, or test computer programs, this updated edition explores all the issues and principles of software design and engineering. With terminology that adheres to the standard set by The Institute of Electrical and Electronics Engineers (IEEE), the book features over 500 entries in 35 taxonomic areas, as well as biographies of over 100 personalities who have made an impact in the field.