000 02321nam a22003618i 4500
001 CR9781139168717
003 UkCbUP
005 20200124160222.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111007s2000||||enk o ||1 0|eng|d
020 _a9781139168717 (ebook)
020 _z9780521779111 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA9.54
_b.T76 2000
082 0 0 _a511.3
_221
100 1 _aTroelstra, A. S.
_q(Anne Sjerp),
_eauthor.
245 1 0 _aBasic proof theory /
_cA.S. Troelstra, H. Schwichtenberg.
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2000.
300 _a1 online resource (xii, 417 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in theoretical computer science ;
_v43
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
650 0 _aProof theory.
700 1 _aSchwichtenberg, Helmut,
_d1942-
_eauthor.
776 0 8 _iPrint version:
_z9780521779111
830 0 _aCambridge tracts in theoretical computer science ;
_v43.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139168717
999 _c516837
_d516835