Antonis Stampoulis, Zhong Shao, VeriML: typed computation of logical terms inside a language with effects, ACM SIGPLAN Notices, v n.9, September . The Calculus of Computation: Decision Procedures with. Applications to Verification by. Aaron Bradley. Zohar Manna. Springer The Calculus of Computation. Decision Procedures with Applications to Verification. Aaron R. Bradley and Zohar Manna. Stanford University. (Aaron is visiting.

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Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9,in its current version, and permission for use must always be obtained from Springer.

Bradley, Manna. The Calculus of Computation, Springer, 2007

The decision procedures of Chapters 8, 9, and 11 are all combinable using the Nelson-Oppen method. The system and a set of examples, including the programs listed in this book, are available for download from http: The material is substantial; it is organized very thoughtfully; the writing is concise but simple, easy to follow, and illustrated with ample examples This book can be used in various ways and taught at multiple levels. Classical calculuus theory, Elsevier, Chapter 9 discusses the classic congruence closure algorithm for equality with uninterpreted functions and extends it to reason about data structures like lists, trees, and arrays.

Decision procedures calcupus most useful when they are combined.

The Calculus of Computation

Some require just a mechanical understanding of the material, while others require a conceptual understanding or ask the reader to think beyond what is presented in the book. For certain audiences, additional exercises might include implementing decision procedures or invariant generation procedures and exploring certain topics in greater depth see Chapter The use of general descriptive names, registered names, trademarks, etc.


Each chapter ends with a set of exercises. Chapters 1 and 2 begin our presentation with a review of propositional and predicate logic. Induction provides the mathematical basis for analyzing program correctness.

We have annotated several sections with a to indicate computatioh they provide additional depth that is unnecessary for understanding subsequent material. Skickas inom vardagar. Aand now, developing a static analysis is one of the easiest ways of bringing formal methods into general usage, as a typical static analysis requires little or no input from the programmer. Verification exercises are given to develop the reader’s facility in specifying and verifying software using logic.

Learning to verify programs is about as di cult for students as learning. Bloggat om The Calculus of Computation. Handbook of Computability Theory, There are two main tracks: The chapter presents a general methodology and two instances of the method for deducing arithmetical properties of programs.

Chapter 12 presents a methodology for constructing invariant generation procedures. Much of the material will be familiar to the reader who previously studied logic.

We have undoubtedly missed some important contributions, for which we apologize. Their suggestions helped us to improve the presentation substantially. It allows users to write and verify annotated programs in the pi programming language. We welcome corrections, comments, and historical anecdotes. The methods are general. Bradley June Zohar Manna.


Stanford University, Aaron R.

Chapter 5 turns to the primary motivating application of computational logic in this book, the task of verifying programs. Chapters 9 and 11 turn to decision procedures for non-arithmetical theories.

The Calculus of Computation, Springer, Overall, this book is very well written, thoughtfully constructed, and substantive yet accessible. To my grandchildren, Itai Maya Bradkey Z. Second, they are sometimes e ciently decidable when the full theory is not compare Chapters 7 and 8. Programming for Engineers Aaron R Bradley. The book has two parts. Chapter 11 presents decision procedures for larger fragments of theories bradleg formalize array-like data structures. Part II trades generality for decidability and e ciency.

Bradley, Manna. The Calculus of Computation, Springer,

This acceptance into everyday engineering cannot come too soon: Additionally, all proofs may be skipped without preventing a general understanding of the material. A Oof Course in Logic, Oxford. First, they are sometimes decidable when the full theory is not see Chapters 9, 10, and Violations are liable for prosecution under the German Copyright Law.

The textbook also presents a logical approach to engineering correct software. The final chapter outlines courses of further study. Logic is the calculus of computation.