DUST 发表于 2025-3-25 06:23:40
,Formalization of Dubé’s Degree Bounds for Gröbner Bases in Isabelle/HOL,Dubé. These bounds are not only of theoretical interest, but can also be used for computing Gröbner bases by row-reducing Macaulay matrices..The formalization covers the whole theory developed by Dubé for obtaining the bounds, building upon an extensive existing library of multivariate polynomials a人类的发源 发表于 2025-3-25 11:23:47
The Coq Library as a Theory Graph,issing link for integrating proof assistants both with each other or with peripheral tools such as IDEs or proof checkers. Such representations cannot be generated from library source files because they lack semantic enrichment (inferred types, etc.) and only the original proof assistant is able toImmunoglobulin 发表于 2025-3-25 12:21:10
BNF-Style Notation as It Is Actually Used, RBNF, etc.), and later by a new formal “grammars” metalanguage used for discussing structured objects in Computer Science and Mathematical Logic. We refer to this latter offspring of BNF as . (Math-BNF), and to aspects common to MBNF, BNF, and its notational variants as .. MBNF is sometimes calledPerennial长期的 发表于 2025-3-25 19:34:06
MMTTeX: Connecting Content and Narration-Oriented Document Formats,s and computer algebra systems on the other hand have so far been developed and used largely independently. The former excel at communicating mathematical knowledge and the latter at certifying its correctness..MMTTeX aims at combining the advantages of the two paradigms. Concretely, we use . for thdemote 发表于 2025-3-25 23:01:31
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Inspection and Selection of Representations,nal and cognitive value of different representations for reasoning. The purpose of our framework is to automate the process of representation selection, taking into account the candidate representation’s match to the problem at hand and to the user’s specific cognitive profile. This requires a langu编辑才信任 发表于 2025-3-26 07:49:11
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Integrating Semantic Mathematical Documents and Dynamic Notebooks,epresentations that define mathematical knowledge and can be compiled into documents (PDF, html, etc.), and the other dynamically build mathematical objects in interactive read-eval-print loops (REPL) such as notebooks. Many author-facing interfaces offer both features in some way. However, reader-fPalate 发表于 2025-3-26 18:21:37
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