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Titlebook: Intelligent Computer Mathematics; International Confer Manfred Kerber,Jacques Carette,Volker Sorge Conference proceedings 2015 Springer Int

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Formal Logic Definitions for Interchange Languagesild semantics-aware tool support such as type-checking TPTP content..While our presentation focuses on the current TPTP logics, our approach can be easily extended to other logics and interchange languages. In particular, our logic representations can be used with both TPTP and MathML. Thus, a singl
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Math Search for the Masses: Multimodal Search Interfaces and Appearance-Based Retrievalath search interface and the . search engine. Source code for both systems are publicly available. “The Masses” refers to our emphasis on creating systems for mathematical non-experts, who may be looking to define unfamiliar notation, or browse documents based on the visual appearance of formulae ra
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Towards Formal Fault Tree Analysis Using Theorem Provinglex engineering systems. Traditionally, these FTA-based analyses are done using paper-and-pencil proof methods or computer simulations, which cannot ascertain absolute correctness due to their inherent limitations. As a complementary approach, we propose to use the higher-order-logic theorem prover
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Optimizing a Certified Proof Checker for a Large-Scale Computer-Generated Proofgenerated proof that 25 comparisons are optimal when sorting 9 inputs, which required more than a decade of CPU time and produced 27 GB of proof witnesses. The checker uses an untrusted oracle based on these witnesses and is able to verify the smaller case of 8 inputs within a couple of days, but it
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Structure Formation in Large Theoriese past we developed the notion of development graphs as a means to represent and maintain structured theories. In this paper we present a methodology and a resulting implementation to reveal the hidden structure of flat theories by transforming them into detailed development graphs. We review our ap
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