Exploring formalisation a primer in human-readable mathematics in Lean 3 with examples from simplicial topology / [electronic resource] :

• 作者： Loh, Clara.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Surveys and tutorials in the applied mathematical sciences ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Surveys and tutorials in the applied mathematical sciences,v. 11
• 主題： Automatic theorem proving--Computer programs. , Mathematical Logic and Foundations. , Algebraic Topology. , Formal Languages and Automata Theory. , Symbolic and Algebraic Manipulation. , Manifolds and Cell Complexes.
• ISBN： 9783031146497 (electronic bk.) 、 9783031146480 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- 1 The Lean Proof Assistant -- 2 Basic Examples -- 3 Design Choices -- 4 Abstraction and Prototyping.
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• 摘要註: This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean. After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory) Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers. Informed by the author's recent teaching and research experience, this book allows students and researchers to quickly get started with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementary category theory and algebraic topology is recommended.
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