{"product_id":"extensional-godel-functional-interpretation-a-consistensy-proof-of-classical-analysis-9783540061199","title":"Extensional Gödel Functional Interpretation: A Consistensy Proof of Classical Analysis","description":"\u003cp\u003e • Author(s): Horst Luckhardt\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003eand survey.- A formal system of classical analysis.- Elimination of extensionality.- Translation of classical into intuitionistic approximated theories.- Gödel's functional interpretation in the narrower sense.- The calculus T of the primitive recursive functionals.- Functional interpretation of classical arithmetic plus (ER)-qf, (AC)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP),      in T.- The calculus T?BR of the bar recursive functionals.- Functional interpretation of classical (AC)o-, (?AC)-analysis with (ER)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP),      in T?BR.- Further consequences from the functional interpretation of classical analysis.- Consistency proof by computation. Computation of T?BRo...o??.- Generalized inductive definitions.- Generalization of bar induction BID and the inductive generation processes to trees over species.- A model for T?BR.- On the bar recursive model of classical analysis and the general bar induction over species.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47615480070295,"sku":"9783540061199","price":2940.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540061199.webp?v=1775101121","url":"https:\/\/atlanticbooks.com\/products\/extensional-godel-functional-interpretation-a-consistensy-proof-of-classical-analysis-9783540061199","provider":"Atlantic Books","version":"1.0","type":"link"}