Abstract
Traditional proof theory and Post-Turing computability are parts of discrete mathematics,whereas traditional analysis deals with non-discrete objects like real numbers and related topological notions. On the other hand,familiar mathematical proofs very often use methods of (functional)analysis which are compatible with functional formalizations of Post-Turing computability.We elaborate these connections with regard to the polynomial-time computability.
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© 2001 Springer-Verlag Berlin Heidelberg
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Gordeew, L. (2001). Proof Theory and Post-turing Analysis. In: Kahle, R., Schroeder-Heister, P., Stärk, R. (eds) Proof Theory in Computer Science. PTCS 2001. Lecture Notes in Computer Science, vol 2183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45504-3_9
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DOI: https://doi.org/10.1007/3-540-45504-3_9
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