Items related to Proofs and Algorithms: An Introduction to Logic and...
Synopsis
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
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