数理逻辑论文选 第1辑PDF电子书下载

1．A Set of Postulates for the Foundation of Logic&A.Church 2

2．A Set of Postulates for the Foundation of Logic'(Second Paper)&A.Church 23

3．An Unsolvable Problem of Elementary Number Theory&A.Church 49

4．A Note on the Entscheidungsproblem&A.Church 68

5．Correction to a Note on the Entscheidungsproblem&A.Church 70

6．The Constructive Second Number Class&A.Church 72

7．Formal Definitions in the Theory of Ordinal Numbers&A.Church&S.C.Kleene 81

8．Some Theorems on Definability&Decidability&A.Church&W.V.Quine 92

9．Grundlagen der kombinatorischen Logik.Teil 1&H.B.Curry 101

10．Grundlagen der kombinatorischen Logik.Teil 2&H.B.Curry 129

11．Some Additions to the Theory of Combinators&H.B.Curry 175

12．Arithmetical Problems&Recursively Enumerable Predicates&M.Davis 183

13．Die Vollst？ndigkeit der Axiome de logischen Funktionenkalküls&K.G？del 192

14．？ber formal unentscheidbare S？tze der Principia Mathematica und verwandter System 1.&K.G？del 204

15．？ber die Lange yon Beweisen&K.G？del 225

16．Some Classes of Recursive Funct'ons&A.Grzegorczyk 232

17．Computable Functionals&A.Grzegorczyk 275

18．On the Definition of Computable Functionals&A.Grzegorczyk 310

19．Some Proofs of Undecidability of Arithmetic&A.Grzegorczyk 318

20．A Theory of Positive Integers in Formal Logic.Part 1&S.C.Kleene 330

21．A Theory of Positive Integers in Formal Logic.Part 2&S.C.Kleene 351

22．General Recursive Functions of Natural Numbers&S.C.Kleene 377

23．λ-Definability&Recursiveness&S.C.Kleene 393

24．A Note on Recursive Functions&S.C.Kleene 407

25．Recursive Predicates&Quantifiers&S.C.Kleene 410

26．On the Forms of the Predicates in the Theory of Constructive Ordinals&S.C.Kleene 443

27．On the Interpretation of Intuitionistic Number Theory&S.C.Kleene 461

28．A Symmetric Form of G？del's Theorem&S.C.Kleene 477

29．The Upper Semi-Lattice of Degrees of Recursive Unsolvability&S.C.Kleene 480

30．On the Forms of the Predicates in the Theory of Constructive Ordinals&S.C.Kleene 509

31．Arithmetical Predicates&Function Quantifiers&S.C.Kleene 533

32．Hierarchies of Number-Theoretic Predicates&S.C.Kleene 562