Results 11 to 20 of about 1,881,310 (251)
A FORMAL PROOF OF THE KEPLER CONJECTURE [PDF]
Forum of Mathematics, Pi, 2017 This article describes a formal proof of the Kepler conjecture on dense sphere packings in a combination of the HOL Light and Isabelle proof assistants. This paper constitutes the official published account of the now completed Flyspeck project.
THOMAS HALES +21 more
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A Formal Proof of the Irrationality of $\zeta(3)$ [PDF]
Logical Methods in Computer Science, 2021 This paper presents a complete formal verification of a proof that the evaluation of the Riemann zeta function at 3 is irrational, using the Coq proof assistant.
Assia Mahboubi, Thomas Sibut-Pinote
doaj +9 more sources
Towards Formal Proof Metrics [PDF]
Lecture Notes in Computer Science, 2016 Recent years have seen increasing success in building large formal proof developments using interactive theorem provers ITPs. Some proofs have involved many authors, years of effort, and resulted in large, complex interdependent sets of proof "source code" files.
David Aspinall +2 more
exaly +3 more sources
INFORMAL PROOF, FORMAL PROOF, FORMALISM [PDF]
The Review of Symbolic Logic, 2015 AbstractIncreases in the use of automated theorem-provers have renewed focus on the relationship between the informal proofs normally found in mathematical research and fully formalised derivations. Whereas some claim that any correct proof will be underwritten by a fully formal proof, sceptics demur.
A. Weir
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Characterization of students formal-proof construction in mathematics learning
Communications in Science and Technology, 2016 Formal proof is a deductive process beginning from some explicitly quantified definitions and other mathematical properties to get a conclusion. Characteristics of student formal-proof construction are required to identify the appropriate treatment can ...
Syamsuri +3 more
doaj +2 more sources
A Formal Proof of the Expressiveness of Deep Learning [PDF]
Journal of Automated Reasoning, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bentkamp, Alexander +2 more
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Formal proof of a program: Find
Science of Computer Programming, 2007 AbstractIn 1971, C.A.R. Hoare gave the proof of correctness and termination of a rather complex algorithm, in a paper entitled Proof of a program: Find. It is a handmade proof, where the program is given together with its formal specification and where each step is fully justified by mathematical reasoning.
Jean-Christophe Filliatre
exaly +2 more sources
Narrating Formal Proof (Work in Progress)
Electronic Notes in Theoretical Computer Science, 2012 AbstractBuilding on existing work in proxying interaction with proof assistants, we have previously developed a proof movie. We have now considered the problem of how to augment this movie data structure to support commentary on formal proof development. In this setting, we have studied extracting commentary from an online text by Pierce et al. [Pierce,
Tankink, C. +3 more
openaire +5 more sources
Swarms of Mobile Robots: Towards Versatility with Safety [PDF]
Leibniz Transactions on Embedded Systems, 2022 We present Pactole, a formal framework to design and prove the correctness of protocols (or the impossibility of their existence) that target mobile robotic swarms.
Courtieu, Pierre +3 more
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How argumentation relates to formal proof process in geometry
International Electronic Journal of Mathematics Education, 2023 This study aims to examine how being involved in an argumentation process relates to the formal proof process in geometry. Prospective mathematics teachers were involved in an argumentation process while producing conjectures before engaging in formal ...
Esra Demiray +2 more
semanticscholar +1 more source