LEADER 02673nam 2200553 a 450 001 9910484584803321 005 20200520144314.0 010 $a3-540-32888-2 024 7 $a10.1007/11542384 035 $a(CKB)1000000000232728 035 $a(SSID)ssj0000320029 035 $a(PQKBManifestationID)11235193 035 $a(PQKBTitleCode)TC0000320029 035 $a(PQKBWorkID)10342767 035 $a(PQKB)11468301 035 $a(DE-He213)978-3-540-32888-9 035 $a(MiAaPQ)EBC3067630 035 $a(PPN)12312977X 035 $a(EXLCZ)991000000000232728 100 $a20051223d2006 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 04$aThe seventeen provers of the world /$fforeword by Dana S. Scott ; Freek Wiedijk (ed.) 205 $a1st ed. 2006. 210 $aBerlin ;$aNew York $cSpringer$dc2006 215 $a1 online resource (XVI, 162 p.) 225 1 $aLecture notes in computer science. Lecture notes in artificial intelligence,$x0302-9743 ;$v3600 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-30704-4 320 $aIncludes bibliographical references and index. 327 $aInformal -- HOL -- Mizar -- PVS -- Coq -- Otter/Ivy -- Isabelle/Isar -- Alfa/Agda -- ACL2 -- PhoX -- IMPS -- Metamath -- Theorema -- Lego -- Nuprl -- ?mega -- B Method -- Minlog. 330 $aCommemorating the 50th anniversary of the first time a mathematical theorem was proven by a computer system, Freek Wiedijk initiated the present book in 2004 by inviting formalizations of a proof of the irrationality of the square root of two from scientists using various theorem proving systems. The 17 systems included in this volume are among the most relevant ones for the formalization of mathematics. The systems are showcased by presentation of the formalized proof and a description in the form of answers to a standard questionnaire. The 17 systems presented are HOL, Mizar, PVS, Coq, Otter/Ivy, Isabelle/Isar, Alfa/Agda, ACL2, PhoX, IMPS, Metamath, Theorema, Leog, Nuprl, Omega, B method, and Minlog. 410 0$aLecture notes in computer science.$pLecture notes in artificial intelligence ;$v3600. 606 $aProof theory$xData processing 606 $aAlgebra$xComputer programs 615 0$aProof theory$xData processing. 615 0$aAlgebra$xComputer programs. 676 $a511.3/6 701 $aWiedijk$b Freek$f1961-$01740262 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484584803321 996 $aThe seventeen provers of the world$94197514 997 $aUNINA