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Titlebook: Space in Weak Propositional Proof Systems; Ilario Bonacina Book 2017 Springer International Publishing AG 2017 Proof Complexity.Mathematic

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書(shū)目名稱Space in Weak Propositional Proof Systems
編輯Ilario Bonacina
視頻videohttp://file.papertrans.cn/874/873185/873185.mp4
概述Proof complexity is a research area that studies the concept of complexity from the point of view of logic.Book offers a reader-friendly exposition of game-theoretic methods used in proof complexity.A
圖書(shū)封面Titlebook: Space in Weak Propositional Proof Systems;  Ilario Bonacina Book 2017 Springer International Publishing AG 2017 Proof Complexity.Mathematic
描述.This book considers logical proof systems from the point of view of their space complexity. After an introduction to propositional proof complexity the author structures the book into three main parts. Part I contains two chapters on resolution, one containing results already known in the literature before this work and one focused on space in resolution, and the author then moves on to polynomial calculus and its space complexity with a focus on the combinatorial technique to prove monomial space lower bounds. The first chapter in Part II addresses the proof complexity and space complexity of the pigeon principles. Then there is an interlude on a new type of game, defined on bipartite graphs, essentially independent from the rest of the book, collecting some results on graph theory. Finally Part III analyzes the size of resolution proofs in connection with the Strong Exponential Time Hypothesis (SETH) in complexity theory.?.The book is appropriate for researchers in theoretical computer science, in particular computational complexity..
出版日期Book 2017
關(guān)鍵詞Proof Complexity; Mathematical Logic; Polynomial Calculus System; Proof System; Resolution System; Satisf
版次1
doihttps://doi.org/10.1007/978-3-319-73453-8
isbn_softcover978-3-319-89249-8
isbn_ebook978-3-319-73453-8
copyrightSpringer International Publishing AG 2017
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Book 2017he author structures the book into three main parts. Part I contains two chapters on resolution, one containing results already known in the literature before this work and one focused on space in resolution, and the author then moves on to polynomial calculus and its space complexity with a focus o
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osition of game-theoretic methods used in proof complexity.A.This book considers logical proof systems from the point of view of their space complexity. After an introduction to propositional proof complexity the author structures the book into three main parts. Part I contains two chapters on resol
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