Computer-Aided Reasoning: An Approach: Pt. 1 (Advances in Formal Methods) - Tapa dura

Sinopsis

Computer-Aided Reasoning: An Approach is a textbook introduction to computer-aided reasoning. It can be used in graduate and upper-division undergraduate courses on software engineering or formal methods. It is also suitable in conjunction with other books in courses on hardware design, discrete mathematics, or theory, especially courses stressing formalism, rigor, or mechanized support. It is also appropriate for courses on artificial intelligence or automated reasoning and as a reference for business and industry.
Current hardware and software systems are often very complex and the trend is towards increased complexity. Many of these systems are of critical importance; therefore making sure that they behave as expected is also of critical importance. By modeling computing systems mathematically, we obtain models that we can prove behave correctly. The complexity of computing systems makes such proofs very long, complicated, and error-prone. To further increase confidence in our reasoning, we can use a computer program to check our proofs and even to automate some of their construction.
In this book we present:

• A practical functional programming language closely related to Common Lisp which is used to define functions (which can model computing systems) and to make assertions about defined functions;
• A formal logic in which defined functions correspond to axioms; the logic is first-order, includes induction, and allows us to prove theorems about the functions;
• The computer-aided reasoning system ACL2, which includes the programming language, the logic, and mechanical support for the proof process.

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