Title
Rabin style speedup of proofs: More generalized speedup in the systems of first order logic,Used
Delivery time: 8-12 business days (International)
One of the main problems of quantitative study of proofs is speedup phenomenon, that is a situation, where two systems are compared such that some theorems have much shorter proof in one of them. For the first time such problem on the proof steps was considered for arithmetical systems by Gdel. Now many results in this field are wellknown. In all of them by comparison of two systems for every recursive function ? can be pointed one formula or infinite set of formula, which has ? speedup. We introduce the common notion of proof complexity (by analogy to Blum computational complexity), the notion of ordinary theory and formulate some conditions for any pair of theory, which are enough for possibility of the most generalized (Rabin style) speedup, i.e. for arbitrary general recursive function ? there exists n0 such that for every n>n0 there is provable in both theories formula ??n such that its proof complexity in ?stronger? theory is no more than n and in the ?weaker? theory is greater than ?(n). Many pair systems with above conditions are considered as well as the constructive description of ?hard? provable formulas for some pair systems is given.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
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