Applied Logic for Computer Scientists Computational Deduction and Formal Proofs /

• Main Authors: Ayala-Rincón, Mauricio (Author), de Moura, Flávio L. C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Undergraduate Topics in Computer Science,
• Subjects: Computer science.; Computer logic.; Mathematical logic.; Computer science > Mathematics.; Computer Science.; Logics and Meanings of Programs.; Mathematical Logic and Formal Languages.; Math Applications in Computer Science.

 This book provides an introduction to logic and mathematical induction which are the basis of any deductive computational framework. A strong mathematical foundation of the logical engines available in modern proof assistants, such as the PVS verification system, is essential for computer scientists, mathematicians and engineers to increment their capabilities to provide formal proofs of theorems and to certify the robustness of software and hardware systems. The authors present a concise overview of the necessary computational and mathematical aspects of ‘logic’, placing emphasis on both natural deduction and sequent calculus. Differences between constructive and classical logic are highlighted through several examples and exercises. Without neglecting classical aspects of computational logic, the authors also highlight the connections between logical deduction rules and proof commands in proof assistants, presenting simple examples of formalizations of the correctness of algebraic functions and algorithms in PVS.     Applied Logic for Computer Scientists will not only benefit students of computer science and mathematics but also software, hardware, automation, electrical and mechatronic engineers who are interested in the application of formal methods and the related computational tools to provide mathematical certificates of the quality and accuracy of their products and technologies. . 

 Foreword. - Preface -- Introduction -- Derivation and Proofs in the Propositional Logic -- Derivations and Proofs in the Predicate Logic -- Deductions in the Style of Gentzen's Sequent Calculus -- Derivations and Formalizations -- Algebraic and Computational Examples -- Suggested Readings -- Index.