Titlebook: Intelligent Computer Mathematics; 16th International C Catherine Dubois,Manfred Kerber Conference proceedings 2023 The Editor(s) (if applic

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978-3-031-42752-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Intelligent Computer Mathematics978-3-031-42753-4Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Large-Scale Formal Proof for?the?Working Mathematician—Lessons Learnt from?the?ALEXANDRIA Projecteat strides in the formalisation of mathematics and also in some relevant technologies, above all machine learning. Six years of intensive formalisation activity seem to show that even the most advanced results, drawing on multiple fields of mathematics, can be formalised using the tools available t

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Never Trust Your Solver: Certification for?SAT and?QBFor QBF solvers. Such solvers are sophisticated and highly tuned pieces of software, often too complex to be verified themselves. Now the question arises how one can one be sure that the result of such a solver is correct, especially when its result is critical for proving the correctness of another

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Category Theory in?Isabelle/HOL as?a?Basis for?Meta-logical Investigatione logic based shallow semantic embedding of category theory by providing a formalization of the notion of elementary topoi. Additionally, we formalize symmetrical monoidal closed categories expressing the denotational semantic model of intuitionistic multiplicative linear logic. Next to these meta-l

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Learning Support Systems Based on?Mathematical Knowledge Managementing problems, this can only be achieved via adaptive, interactive learning support services. In this paper we show how these can be generated by modeling the domain, the learner competencies, and the rhetoric and didactic relations among learning objects, re-using existing technologies and systems o

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Isabelle Formalisation of?Original Representation Theorems computational biology) were discovered by cross-site data mining on huge databases, and building on existing Isabelle-verified event structures enumeration algorithms. Given the origin and newness of such theorems, their formal verification is particularly desirable. This paper presents such a veri

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Teaching Linear Algebra in?a?Mechanized Mathematical Environmentthat this is a better way to teach linear algebra than the “old fashioned way”. We discuss some technological tools such as Maple, Matlab, Python, and Jupyter Notebooks, and some choices of topics that are especially suited to teaching with these tools. The discussion is informed by our experience o