{"product_id":"computable-structure-theory-beyond-the-arithmetic-hardback-9781108490252","title":"Computable Structure Theory; Beyond the Arithmetic (Hardback) 9781108490252","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComputable Structure Theory\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eBeyond the Arithmetic\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA coherent framework of results and techniques in computable structure theory, focusing on the hyperarithmetic and the infinitary languages.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAntonio Montalbán (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108490252, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 19 February 2026\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e246 pages\u003cbr\u003e23.4 x 15.6 x 1.6 cm, 0.54 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eComputable structure theory quantifies and studies the relative complexity of mathematical structures. This text, in conjunction with the author's previous volume, represents the first full monograph on computable structure theory in two decades. It brings new results of the author together with many older results that were previously scattered across the literature and presents them all in a coherent framework. Geared towards graduate students and researchers in mathematical logic, the book enables the reader to learn all the main results and techniques in the area for application in their own research. While the previous volume focused on countable structures whose complexity can be measured within arithmetic, this second volume delves into structures beyond arithmetic, moving into the realm of the hyperarithmetic and the infinitary languages.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eNotation and conventions from computability theory\u003cbr\u003e Notation and conventions from Part I: 1. Ordinals\u003cbr\u003e 2. Infinitary logic\u003cbr\u003e 3. Computably infinitary languages\u003cbr\u003e 4. Pi-one-one sets\u003cbr\u003e 5. Hyperarithmetic sets\u003cbr\u003e 6. Overspill\u003cbr\u003e 7. Forcing\u003cbr\u003e 8. The game metatheorem\u003cbr\u003e 9. Iterated true-stage arguments\u003cbr\u003e 10. Iterating the jump of a structure\u003cbr\u003e 11. The isomorphism problem\u003cbr\u003e 12. Vaught's conjecture\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52415687164184,"sku":"9781108490252","price":92.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781108490252i.jpg?v=1784423433","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/computable-structure-theory-beyond-the-arithmetic-hardback-9781108490252","provider":"Freshly Printed Books","version":"1.0","type":"link"}