Found 5 document(s)
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We come to a formalism introduced by Gentzen, namely the sequents calculus. We introduce here the basic concepts and prove the most important result about it, namely cut-elimination. Actually we will not illustrate here ...
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The book is based on lecture notes from the course ‘Formal Systems’, taught by the author for the Master’s Degree in ‘Applied Mathematics’ at the University of Siena. It was created for educational purposes, specifically...
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The aim of this section is to account for Gödel’s original intuition with the means of modern computability theory, showing the different complexity of the theorems of a theory of formal arithmetic with certain propertie...
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Another mathematically significant development in the research around the phenomenon of incompleteness on which we consider it important to focus attention, is that which has led to highlighting the link between this con...
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We discuss the Second incompleteness theorem, some research developments and consequences. We introduce Turing’s progressions as attempt to attempt to overcome the problem of incompleteness. The we introduce the basics o...