000 01517nam a22002417a 4500
003 NUCLARK
005 20250108091116.0
008 240227b ph ||||| |||| 00| 0 eng d
020 _a9781108423298
040 _cNUCLARK
050 _aQA 9.59 .M66 2021
100 _aMontalbán, Antonio
_eauthor
245 _aComputable structure theory :
_bwithin the arithmetic /
_cAntonio Montalbán
260 _aUnited Kingdom :
_bCambridge University Press,
_cc2021
300 _axxii, 190 pages ;
_c24 cm.
490 _aPerspective in Logic
504 _aIncludes bibliographical references and index.
505 _aPreface -- Notation and conventions -- Chapter 1. Structures -- Chapter 2. Relations -- Chapter 3. Existentially-atomic models -- Chapter 4. Generic presentations -- Chapter 5. Degree spectra -- Chapter 6. Comparing structures and classes of structures -- Chapter 7. Finite-injury constructions -- Chapter 8. Computable categoricity -- Chapter 9. The jump of a structure -- Chapter 10. ∑-small classes -- Bibliography -- Index.
520 _a"The objective of this book is to describe some of the main ideas and techniques used in the field. Most of these ideas are old, but for many of them, the style of the presentation is not. Over the last few years, the authors has developed new frameworks for dealing with these old ideas-for instance, r.i.c.e. relations, jump, Scott ranks, and back-and-forth types. " -- Preface
650 _aCOMPUTABLE FUNCTIONS
942 _2lcc
_cBK
_n0
999 _c3155
_d3155