Fallenstein’s Monster (brief Technical Note)
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چکیده
Two known solutions to tiling agents (in the face of Löbian obstacles) have significant disadvantages. Marcello’s Waterfall can only be realized in nostandard models, while Parametric Polymorphism is constrained to deploy different amounts of “proof strength” at different “successor depths”. These concerns are explained in detail below. We present a third solution to the problem, created by grafting Marcello’s Waterfall and Parametric Polymorphism together. Our solution also works with a variant of Marcello’s Waterfall which is sound on the standard natural numbers, described in a parallel note.
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تاریخ انتشار 2013