Titlebook: Mathematical Software – ICMS 2016; 5th International Co Gert-Martin Greuel,Thorsten Koch,Andrew Sommese Conference proceedings 2016 Springe

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Gert-Martin Greuel,Thorsten Koch,Andrew SommeseIncludes supplementary material:

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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/m/image/626583.jpg

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Interactive Proving, Higher-Order Rewriting, and Theory Analysis in Theorema 2.0e proof development, a higher-order rewriting mechanism, and a tool for automatically analyzing the logical structure of Theorema-theories. Each of these three tools already proved extremely useful in the extensive formal exploration of a non-trivial mathematical theory, namely the theory of Gröbner bases and reduction rings, in Theorema 2.0.

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With Extreme Scale Computing the Rules Have ChangedScience priorities lead to scientific models, and models are implemented in the form of algorithms.

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Automating Free Logic in Isabelle/HOLWe present an interactive and automated theorem prover for free higher-order logic. Our implementation on top of the Isabelle/HOL framework utilizes a semantic embedding of free logic in classical higher-order logic. The capabilities of our tool are demonstrated with first experiments in category theory.