LEADER 02458nam 2200553 450 001 9910812549403321 005 20230308172405.0 010 $a0-8218-9889-2 035 $a(CKB)3360000000463969 035 $a(EBL)3113537 035 $a(SSID)ssj0000976606 035 $a(PQKBManifestationID)11528133 035 $a(PQKBTitleCode)TC0000976606 035 $a(PQKBWorkID)11019556 035 $a(PQKB)10622210 035 $a(MiAaPQ)EBC3113537 035 $a(RPAM)0000000642 035 $a(PPN)195408934 035 $a(EXLCZ)993360000000463969 100 $a20750507d1952 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTwo papers on the predicate calculus /$fS.C. Kleene 205 $aRev. 210 1$aProvidence :$cAmerican Mathematical Society,$d1952. 215 $a1 online resource (72 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 10 300 $aCover title. 300 $a"Second printing, with revision, 1967." 311 0 $a0-8218-1210-6 320 $aBibliography: pages [67]-68. 327 $a""PERMUTABILITY OF INFERENCES IN GENTZEN'S CALCULI LK AND LJ""; ""1. THE FORMAL SYSTEM G""; ""2. RELATIONSHIPS IN A PROOF IN G""; ""3 . INTERCHANGE OF ADJACENT LOGICAL INFERENCES""; ""4. PERMUTABILITY OF LOGICAL INFERENCES""; ""FINITE AXIOMATIZABILITY OF THEORIES IN THE PREDICATE CALCULUS USING ADDITIONAL PREDICATE SYMBOLS""; ""1. H-NUMBERS""; ""2. A PRIMITIVE RECURSIVE ENUMERATION OF H-NUMBERS""; ""3 . THE SYSTEM S[sub(1)]""; ""4. THE SYSTEMS S[sub(2)], S[sub(3)]""; ""5. THE SYSTEMS S[sub(0)], S""; ""6. A NON-CONSTRUCTIVE PROOF OF CONSISTENCY FOR THE CLASSICAL CASE"" 327 $a""7. EFFECT OF THE EQUALITY AXIOMS WITH A NEW EQUALITY SYMBOL""""8. EFFECT OF THE AXIOMS OF S[sub(1)]""; ""9. EFFECT OF THE AXIOM OF S[sub(2)]""; ""10. EFFECT OF THE AXIOMS OF S[sub(3)]""; ""11. CONCLUSION OF THE CONSISTENCY PROOF""; ""BIBLIOGRAPHY"" 410 0$aMemoirs of the American Mathematical Society ;$v10. 606 $aCalculus 606 $aPredicate calculus 615 0$aCalculus. 615 0$aPredicate calculus. 700 $aKleene$b Stephen Cole$f1909-1994,$057809 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812549403321 996 $aTwo papers on the predicate calculus$94114880 997 $aUNINA