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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This acceptance into everyday engineering cannot come too soon: For certain audiences, additional exercises might include implementing decision procedures or invariant generation procedures th exploring certain topics in greater depth see Chapter Handbook of Computability Theory, Chapters 9 and 11 turn to decision procedures for non-arithmetical theories.

We wrote this book with an undergraduate and beginning graduate audience in mind.

Bradley, Manna. The Calculus of Computation, Springer,

Chapter 12 presents a methodology for constructing invariant generation procedures. Bradley June Zohar Manna.

A First Course in Logic, Oxford. Chapter 4 reviews induction, introducing some forms of induction that may be new to the reader. To my grandchildren, Itai Maya Ori Z.


Violations are liable for prosecution under the German Copyright Law. The Calculus of Computation, Springer, The book has two parts.

The Calculus of Computation

Verification exercises are given to develop the reader’s facility in specifying and verifying software using logic.

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. Classical recursion theory, Elsevier, Skickas inom vardagar.

Much of the material will be familiar to the reader who previously studied logic. We thank the following people for their comments throughout the writing of this book: Second, they anf sometimes e ciently decidable when the full theory is not compare Chapters 7 and 8. For 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.

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

Computability and Logic, 5ed, CUP, Chapter 5 turns to the primary motivating application of computational logic in this book, the task of verifying programs. This book can thw used in various ways and taught at multiple levels.


The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. Part II trades generality for decidability and e ciency. Their suggestions helped us to improve the presentation substantially.

Remaining errors and shortcomings are our responsibility.

It allows users to write and verify annotated programs in the pi programming language. Stanford University, Aaron R. Logic is the calculus of computation. The final chapter outlines courses of further study. Each chapter ends with a set of exercises. 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.

Chapters 1 and 2 begin our presentation with a review of propositional and predicate logic.