Proofs and Algorithms

An Introduction to Logic and Computability
2011. Auflage 2011
ISBN: 978-0-85729-120-2
Verlag: Springer

Buch, Englisch, 156 Seiten, Format (B × H): 156 mm x 238 mm, Gewicht: 252 g

Reihe: Undergraduate Topics in Computer Science

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.

Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself.

Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Zielgruppe

Graduate

Autoren/Hrsg.

Dowek, Gilles

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Inhaltsverzeichnis

Proofs.-Predictive Logic.-Models.-Algorithms.-Computable Functions.-Computation as a Sequence of Small Steps.-Proofs and Algorithms.-Church's Theorem.-Automated Theorem Proving.-Decidable Theories.-Constructivity.-Epilogie.-Index.-Bibliography

Über Autor(innen)

Gilles Dowek is a Professor at École Polytechnique. He is also a Researcher at the Laboratoire d'Informatique de l'École Polytechnique and the Institut National de Recherche en Informatique et en Automatique (INRIA). His research concerns the formalization of mathematics and the mechanization of reasoning. His main contribution is a reformulation of the axiomatic method which provides a central role to the notion of computation.