Extensions of First-Order Logic

Extensions of First-Order Logic

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This book introduces some extensions of classical first-order logic and applies them to reasoning about computer programs. The extensions considered are: second-order logic, many-sorted logic, w-logic, modal logic type theory and dynamic logic. These have wide applications in various areas of computer science, philosophy, natural language processing and artificial intelligence. Researchers in these areas will find this book a useful introduction and comparative treatment.As I said before, induction models are second order structures where the axiom of induction is true. ... We have seen already that our theorem 3.1.1 answers the questions raised to justify defining functions by mathematical induction. it* u* , A Aanbsp;...

Title:Extensions of First-Order Logic
Author: Maria Manzano
Publisher:Cambridge University Press - 1996-03-29

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