Articles liés à Mathematical Proof Theory

Mathematical Proof Theory - Couverture souple

Kisak, Edited By Paul F.

 
9781519102447: Mathematical Proof Theory

Synopsis

#45 on 69 Best Mathematical Proofs Books of All Time.

Proof theory is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of the logical system. As such, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Together with model theory, axiomatic set theory, and recursion theory, proof theory is one of the so-called four pillars of the foundations of mathematics.Some of the major areas of proof theory include structural proof theory, ordinal analysis, provability logic, reverse mathematics, proof mining, automated theorem proving, and proof complexity. Much research also focuses on applications in computer science, linguistics, and philosophy.This book is designed to be a general overview of the topic and provide you with the structured knowledge to familiarize yourself with the topic at the most affordable price possible. The level of discussion is that of Wikipedia. The accuracy and knowledge is of an international viewpoint as the edited articles represent the inputs of many knowledgeable individuals and some of the most currently available general knowledge on the topic based on the date of publication.

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À propos de l'auteur

The editor has degrees in Engineering Physics & Nuclear Engineering from the University of Michigan and is an Engineer & Former Intelligence Officer for the CIA & US Intelligence Community and was President of an award-winning Defense Contracting Company. He has authored several books, edited numerous books and has written over 75 Technical, Classified & Unclassified papers, Articles & Essays. He has also been a Contributing Author for The International Encyclopedia on Intelligence and Counter-Intelligence and written several award-winning software manuals that have been sold in more than a dozen countries. He has also appeared in Marquis “Who’s Who in the World” & “Who’s Who in Science & Engineering” and continues to edit and write.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.