Mechanizing Mathematical Reasoning: Essays in Honor of Jörg by Dieter Hutter, Werner Stephan PDF

By Dieter Hutter, Werner Stephan

ISBN-10: 3540250514

ISBN-13: 9783540250517

By providing cutting-edge leads to logical reasoning and formal equipment within the context of synthetic intelligence and AI functions, this e-book commemorates the sixtieth birthday of Jörg H. Siekmann.

The 30 revised reviewed papers are written through former and present scholars and associates of Jörg Siekmann; additionally integrated is an appraisal of the clinical profession of Jörg Siekmann entitled "A Portrait of a Scientist: Logics, AI, and Politics." The papers are prepared in 4 components on common sense and deduction, functions of common sense, formal tools and protection, and brokers and planning.

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Extra resources for Mechanizing Mathematical Reasoning: Essays in Honor of Jörg H. Siekmann on the Occasion of His 60th Birthday

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Yann Coscoy, Gilles Kahn, and Laurent Th´ery. Extracting Text from Proofs. In Mariangiola Dezani-Ciancaglini and Gordon Plotkin, editors, Typed Lambda Calculi and Applications : Second International Conference on Typed Lambda Calculi and Applications, TLCA ’95, volume 902 of Lecture Notes in Computer Science, pages 109–123, Edinburgh, United Kingdom, 1995. Springer-Verlag. 12. Richard Courant and Herbert Robbins. What is Mathematics? Oxford University Press, 1941. 13. B. I. Dahn, J. Gehne, T. Honigmann, and A.

Honigmann, and A. Wolf. Integration of Automated and Interactive Theorem Proving in ILF. In McCune [45], pages 57–60. 14. Bernd I. Dahn and Andreas Wolf. A Calculus Supporting Structured Proofs. Journal for Information Processing and Cybernetics (EIK), 30:261–276, 1994. 15. Bernd I. Dahn and Andreas Wolf. Natural Language Representation and Combination of Automatically Generated Proofs. In F. Baader and K. U. Schulz, editors, Frontiers of Combining Systems: Proceedings of the 1st International Workshop, Munich (Germany), Applied Logic, pages 175–192.

Can the quintessential proof be used to generate the proofs of the Surjective and Injective Cantor Theorems? In the case of the Surjective Cantor Theorem, we assume there is a surjective function g : U → P(U ) such that gxi = Ti for each i, so D = {xi | xi ∈ Ti } = {x | x ∈ gx}. In the case of the Injective Cantor Theorem, we assume there is an injective function h : P(U ) → U such that hTi = xi for each i, so D = {xi | xi ∈ Ti } = {ht | ht ∈ t}. Thus, the quintessential proof shows us how to generate the key idea in each of these proofs.

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Mechanizing Mathematical Reasoning: Essays in Honor of Jörg H. Siekmann on the Occasion of His 60th Birthday by Dieter Hutter, Werner Stephan


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