ALOOF 发表于 2025-3-21 17:43:07
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Formalization of Bing’s Shrinking Method in Geometric Topologyethod include the generalized Schoenflies theorem, the double suspension theorem for homology spheres, and the 4-dimensional Poincaré conjecture. Homeomorphisms obtained in this method are sometimes counter-intuitive and may even be pathological. This makes Bing’s shrinking method a good target of f花费 发表于 2025-3-22 01:30:38
http://reply.papertrans.cn/47/4695/469420/469420_3.pngMelodrama 发表于 2025-3-22 06:15:29
Formalization of Normal Random Variables in HOLsystems within the trusted kernel of a higher-order-logic theorem prover, in this paper, we provide a higher-order-logic formalization of Lebesgue measure and Normal random variables along with the proof of their classical properties. To illustrate the usefulness of our formalization, we present a fNeolithic 发表于 2025-3-22 10:20:11
Progress of Self-Archiving Within the DML Corpus, with a View Toward Community Dynamicsform. Important features like full-text formula search are facilitated by the openly available . sources. However, despite the obvious growth of the arXiv corpus, it is not clear what share of the published mathematical literature is already openly accessible in this way, and whether it might eventuNEXUS 发表于 2025-3-22 14:57:17
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Incorporating Quotation and Evaluation into Church’s Type Theory: Syntax and Semanticsguage. With quotation and evaluation it is possible to reason in . about the interplay of the syntax and semantics of expressions and, as a result, to formalize syntax-based mathematical algorithms. We present the syntax and semantics of . and give several examples that illustrate the usefulness ofneutral-posture 发表于 2025-3-22 23:15:33
Extracting Higher-Order Goals from the Mizar Mathematical Libraryy to obtain higher-order theorem proving problems from Mizar articles that make use of these constructs. In particular, higher-order logic is used to represent schemes, a global choice construct and set level binders. The higher-order automated theorem provers Satallax and LEO-II have been run on cochlorosis 发表于 2025-3-23 02:52:06
http://reply.papertrans.cn/47/4695/469420/469420_9.png询问 发表于 2025-3-23 06:00:39
Formal Dependability Modeling and Analysis: A Surveyonfidentiality, and integrity. Various dependability modeling techniques have been developed to effectively capture the failure characteristics of systems over time. Traditionally, dependability models are analyzed using paper-and-pencil proof methods and computer based simulation tools but their re