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Titlebook: Interactive Theorem Proving; 8th International Co Mauricio Ayala-Rincón,César A. Muñoz Conference proceedings 2017 Springer International P

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Lorenzo Gheri,Andrei Popescuing, and other IFIP members. Within the Technical Committee 5 of the International Federation of Information Processing (lFIP) the aim of this Working Group is the advancement of computers and their application to the field of discrete part manufacturing. Capabilities will be expanded in the general
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Frédéric Gilbertther IFIP members. Within the Technical Committee 5 of the International Federation of Information Processing (lFIP) the aim of this Working Group is the advancement of computers and their application to the field of discrete part manufacturing. Capabilities will be expanded in the general areas of
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Zhé Hóu,David Sanán,Alwen Tiu,Yang Liuhaftlich eminent wichtige und sich rapide entwickelnde Gebiet der rechnerunterstützten Systeme in der Fertigung zeigte einen großen Bedarf für ein solches Handbuch. Durch dieses Buch soll einerseits dem Experten ein Leitfaden und Nachschlagewerk in die Hand gegeben und andererseits das Management be
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Automated Theory Exploration for Interactive Theorem Proving:,er I will present the theory exploration system Hipster, which automatically discovers and proves lemmas about a given set of datatypes and functions in Isabelle/HOL. The development of Hipster was originally motivated by attempts to provide a higher level of automation for proofs by induction. Auto
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Automating Formalization by Statistical and Semantic Parsing of Mathematics,of mathematical expressions. We introduce the overall motivation and ideas behind this project, and then propose a context-based parsing approach that combines efficient statistical learning of deep parse trees with their semantic pruning by type checking and large-theory automated theorem proving.
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A Formalization of Convex Polyhedra Based on the Simplex Method,d, together with the proof of its correctness and termination. This allows us to define the basic predicates over polyhedra in an effective way (i.e. as programs), and relate them with the corresponding usual logical counterparts. To this end, we make an extensive use of the Boolean reflection metho
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A Formal Proof of the Expressiveness of Deep Learning,cs, and more. Recently, Cohen et al. provided theoretical evidence for the superiority of deep learning over shallow learning. We formalized their mathematical proof using Isabelle/HOL. The Isabelle development simplifies and generalizes the original proof, while working around the limitations of th
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Formalization of the Lindemann-Weierstrass Theorem,em establishes a link between the linear independence of a set of algebraic numbers and the algebraic independence of the exponentials of these numbers. As we follow Baker’s proof, we discuss the difficulties of its formalization and explain how we resolved them in Coq. Most of these difficulties re
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