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Titlebook: Intelligent Computer Mathematics; 12th International C Cezary Kaliszyk,Edwin Brady,Claudio Sacerdoti Coen Conference proceedings 2019 Sprin

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,Beginners’ Quest to Formalize Mathematics: A Feasibility Study in Isabelle, by an undergraduate research group at Jacobs University Bremen. We argue that, as demonstrated by our example, proof assistants are feasible for beginners to formalize mathematics. With the aim to make the field more accessible, we also survey hurdles that arise when learning an interactive theorem
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A Tale of Two Set Theories,ry of Egal. We show how certain higher-order terms and propositions in Egal have equivalent first-order presentations. We then prove Tarski’s Axiom A (an axiom in Mizar) in Egal and construct a Grothendieck Universe operator (a primitive with axioms in Egal) in Mizar.
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Towards Specifying Symbolic Computation,rithms are commonplace in computer algebra systems, they can be surprisingly difficult to specify in a formal logic since they involve an interplay of syntax and semantics. In this paper we discuss several examples of syntax-based mathematical algorithms, and we show how to specify them in a formal
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Lemma Discovery for Induction,on. In this paper we survey various techniques for automating the discovery of such lemmas, including both top-down techniques attempting to generate a lemma from an ongoing proof attempt, as well as bottom-up theory exploration techniques trying to construct interesting lemmas about available funct
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