Mathematical Logic and Computation

A thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.

Sommario

Preface; 1. Fundamentals; 2. Propositional Logic; 3. Semantics of Propositional Logic; 4. First-Order Logic; 5. Semantics of First-Order Logic; 6. Cut Elimination; 7. Properties of First-Order Logic; 8. Primitive Recursion; 9. Primitive Recursive Arithmetic; 10. First-Order Arithmetic; 11. Computability 12. Undecidability and Incompleteness; 13. Finite Types; 14. Arithmetic and Computation; 15. Second-Order Logic and Arithmetic; 16. Subsystems of Second-Order Arithmetic; 17. Foundations; Appendix; References; Notation; Index.

Info autore

Jeremy Avigad is Professor in the Department of Philosophy and the Department of Mathematical Sciences at Carnegie Mellon University. His research interests include mathematical logic, formal verification, automated reasoning, and the philosophy and history of mathematics. He is the Director of the Charles C. Hoskinson Center for Formal Mathematics at Carnegie Mellon University.

Dettagli sul prodotto

• Autori: Jeremy Avigad, Jeremy (Carnegie Mellon University Avigad
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 30.09.2022
• EAN: 9781108478755
• ISBN: 978-1-108-47875-5
• Pagine: 450
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Fondamenti; MATHEMATICS / Logic, Mathematical theory of computation, Mathematical logic, Computer architecture & logic design, Computer architecture and logic design