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Titlebook: Mathematical Knowledge Management; 5th International Co Jonathan M. Borwein,William M. Farmer Conference proceedings 2006 Springer-Verlag B

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https://doi.org/10.1007/11812289LaTeX; complexity; e-learning; formal logic; formal mathematics; interactive algebra; knowledge management
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Mathematical Knowledge Management978-3-540-37106-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
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0302-9743 Overview: 978-3-540-37104-5978-3-540-37106-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
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A Formal Correspondence Between OMDoc with Alternative Proofs and the ,-Calculus of the .-calculus seen as a proof format. We provide explanations in pseudo-natural language of proofs in both formats, and a formal correspondence between the two by means of two mutually inverse encodings of one format in the other one.
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Verifying and Invalidating Textbook Proofs Using Scunakable representations of natural deduction proofs. We show how the new mathematical assistant system Scunak can be used to verify a textbook proof by translating the . version into a proof term in a dependent type theory. We also show how Scunak can give interesting output upon failure.
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Structured Induction Proofs in Isabelle/Isarn-standard variants of induction as well, such as co-induction and nominal induction. This demonstrates that Isar provides a viable platform for building domain-specific tools that support fully-formal mathematical proof composition.
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