Proofs and algorithms: introduction to logic and computability theory

✍ Scribed by Dowek, Gilles

Publisher: Springer
Year: 2011
Tongue: English
Leaves: 168
Series: Undergraduate Topics in Computer Science
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Proofs.-Predictive Logic.-Inductive Definitions.-Languages.-The Languages of Predicate Logic.-Proofs.-Examples of Theories.-Variations on the Principle of the Excluded Middle.-Models.-The Notion of a Model.-The Soundness Theorem.-The Completeness Theorem.-Other Applications of the Notion of Model.-Algorithms.-Computable Functions.-Computable Functions.-Computability over Lists and Trees.-Eliminating Recursion.-Programs.-Computation as a Sequence of Small Steps.-Proofs and Algorithms.-Church's Theorem.-Automated Theorem Proving.-Sequent Calculus.-Proof Search in the Sequent Calculus Without Cuts.-Decidable theories.-Constructivity.-Epilogue.-Index.-Bibliography

✦ Subjects

Beweistheorie;Prädikatenlogik;Prädikatenlogik

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