-
1
-
-
0010762620
-
0 + EXP
-
P. Agliano and A. Ursini, editors. Marcel Dekker, New York
-
0 + EXP. In P. Agliano and A. Ursini, editors, Logic and Algebra, pages 317-325. Marcel Dekker, New York, 1996.
-
(1996)
Logic and Algebra
, pp. 317-325
-
-
Beklemishev, L.D.1
-
2
-
-
0031584264
-
Induction rules, reflection principles, and provably recursive functions
-
Beklemishev L.D.: Induction rules, reflection principles, and provably recursive functions. Annals of Pure and Applied Logic, 85, 193-242 (1997)
-
(1997)
Annals of Pure and Applied Logic
, vol.85
, pp. 193-242
-
-
Beklemishev, L.D.1
-
3
-
-
0042252007
-
Notes on local reflection principles
-
Beklemishev L.D.: Notes on local reflection principles. Theoria, 63, 139-146 (1997)
-
(1997)
Theoria
, vol.63
, pp. 139-146
-
-
Beklemishev, L.D.1
-
4
-
-
0032221392
-
A proof-theoretic analysis of collection
-
Beklemishev L.D.: A proof-theoretic analysis of collection. Archive for Mathematical Logic, 37, 275-296 (1998)
-
(1998)
Archive for Mathematical Logic
, vol.37
, pp. 275-296
-
-
Beklemishev, L.D.1
-
5
-
-
0039713932
-
Parameter free induction and provably total computable functions
-
Beklemishev L.D.: Parameter free induction and provably total computable functions. Theoretical Computer Science, 224, 13-33 (1999)
-
(1999)
Theoretical Computer Science
, vol.224
, pp. 13-33
-
-
Beklemishev, L.D.1
-
6
-
-
0042252013
-
Provability algebras and proof-theoretic ordinals, I
-
University of Utrecht, To appear in Annals of Pure and Applied Logic
-
Beklemishev L.D.: Provability algebras and proof-theoretic ordinals, I. Logic Group Preprint Series 208, University of Utrecht, 2001. http://www.phil.uu.nl/preprints.html. To appear in Annals of Pure and Applied Logic
-
(2001)
Logic Group Preprint Series
, vol.208
-
-
Beklemishev, L.D.1
-
7
-
-
0002092865
-
Arithmetization of metamathematics in a general setting
-
Feferman S.: Arithmetization of metamathematics in a general setting. Fundamenta Mathematicae, 49, 35-92 (1960)
-
(1960)
Fundamenta Mathematicae
, vol.49
, pp. 35-92
-
-
Feferman, S.1
-
8
-
-
0000675423
-
Transfinite recursive progressions of axiomatic theories
-
Feferman S.: Transfinite recursive progressions of axiomatic theories. Journal of Symbolic Logic, 27, 259-316 (1962)
-
(1962)
Journal of Symbolic Logic
, vol.27
, pp. 259-316
-
-
Feferman, S.1
-
9
-
-
0001075402
-
Fragments of Peano's arithmetic and the MDRP theorem
-
Logic and algorithmic (Zurich, 1980), Genève, University of Genève
-
Gaifman H., Dimitracopoulos C.: Fragments of Peano's arithmetic and the MDRP theorem. In Logic and algorithmic (Zurich, 1980), (Monograph. Enseign. Math., 30), pages 187-206. Genève, University of Genève, 1982
-
(1982)
Monograph. Enseign. Math.
, vol.30
, pp. 187-206
-
-
Gaifman, H.1
Dimitracopoulos, C.2
-
10
-
-
0043254484
-
On interpretability of some extensions of arithmetic
-
Goryachev S.: On interpretability of some extensions of arithmetic. Mat. Zametki, 40, 561-572 (1986) In Russian. English translation in Math. Notes, 40
-
(1986)
Mat. Zametki
, vol.40
, pp. 561-572
-
-
Goryachev, S.1
-
11
-
-
0042753299
-
-
Goryachev S.: On interpretability of some extensions of arithmetic. Mat. Zametki, 40, 561-572 (1986) In Russian. English translation in Math. Notes, 40
-
Math. Notes
, vol.40
-
-
-
12
-
-
0003543456
-
-
Springer-Verlag, Berlin, Heidelberg, New York
-
Hájek P., Pudlák P.: Metamathematics of First Order Arithmetic. Springer-Verlag, Berlin, Heidelberg, New York, 1993
-
(1993)
Metamathematics of First Order Arithmetic
-
-
Hájek, P.1
Pudlák, P.2
-
13
-
-
0000953299
-
On parameter free induction schemas
-
Kaye, R., Paris, J., Dimitracopoulos, C.: On parameter free induction schemas. Journal of Symbolic Logic 53, 1082-1097 (1988)
-
(1988)
Journal of Symbolic Logic
, vol.53
, pp. 1082-1097
-
-
Kaye, R.1
Paris, J.2
Dimitracopoulos, C.3
-
15
-
-
0002239257
-
Reflection principles and their use for establishing the complexity of axiomatic systems
-
Kreisel, G., Lévy, A.L.: Reflection principles and their use for establishing the complexity of axiomatic systems. Zeitschrift f. math. Logik und Grundlagen d. Math., 14, 97-142 (1968)
-
(1968)
Zeitschrift f. Math. Logik und Grundlagen d. Math.
, vol.14
, pp. 97-142
-
-
Kreisel, G.1
Lévy, A.L.2
-
16
-
-
0001424460
-
The optimality of induction as an axiomatization of arithmetic
-
Leivant, D.: The optimality of induction as an axiomatization of arithmetic. Journal of Symbolic Logic 48, 182-184 (1983)
-
(1983)
Journal of Symbolic Logic
, vol.48
, pp. 182-184
-
-
Leivant, D.1
-
19
-
-
84985376303
-
Reflection principles in fragments of Peano Arithmetic
-
Ono, H.: Reflection principles in fragments of Peano Arithmetic. Zeitschrift f. math. Logik und Grundlagen d. Math., 33, 317-333 (1987)
-
(1987)
Zeitschrift f. Math. Logik und Grundlagen d. Math.
, vol.33
, pp. 317-333
-
-
Ono, H.1
-
20
-
-
0001695955
-
Existence and feasibility in arithmetic
-
Parikh, R.: Existence and feasibility in arithmetic. Journal of Symbolic Logic 36, 494-508 (1971)
-
(1971)
Journal of Symbolic Logic
, vol.36
, pp. 494-508
-
-
Parikh, R.1
-
21
-
-
77956955085
-
On a number-theoretic choice schema and its relation to induction
-
A. Kino, J. Myhill, and R.E. Vessley, editors. North Holland, Amsterdam
-
Parsons, C.: On a number-theoretic choice schema and its relation to induction. In A. Kino, J. Myhill, and R.E. Vessley, editors, Intuitionism and Proof Theory, pages 459-473. North Holland, Amsterdam, 1970
-
(1970)
Intuitionism and Proof Theory
, pp. 459-473
-
-
Parsons, C.1
-
22
-
-
0000646315
-
On n-quantifier induction
-
Parsons, C.: On n-quantifier induction. Journal of Symbolic Logic, 37, 466-482 (1972)
-
(1972)
Journal of Symbolic Logic
, vol.37
, pp. 466-482
-
-
Parsons, C.1
-
23
-
-
0041751398
-
A short course in ordinal analysis
-
A. Axcel and S. Wainer, editors. Oxford University Press, Oxford
-
Pohlers, W.: A short course in ordinal analysis. In A. Axcel and S. Wainer, editors, Proof Theory, Complexity, Logic, pages 867-896. Oxford University Press, Oxford, 1993
-
(1993)
Proof Theory, Complexity, Logic
, pp. 867-896
-
-
Pohlers, W.1
-
24
-
-
0007509157
-
Subsystems of set theory and second order number theory
-
S.R. Buss, editor. Elsevier, North-Holland, Amsterdam
-
Pohlers, W.: Subsystems of set theory and second order number theory. In S.R. Buss, editor, Handbook of Proof Theory, pages 210-335. Elsevier, North-Holland, Amsterdam, 1998
-
(1998)
Handbook of Proof Theory
, pp. 210-335
-
-
Pohlers, W.1
-
26
-
-
23944491544
-
A fine structure generated by reflection formulas over Primitive Recursive Arithmetic
-
M. Boffa, D. van Dalen, and K. McAloon, editors. North Holland, Amsterdam
-
Schmerl, U.R.: A fine structure generated by reflection formulas over Primitive Recursive Arithmetic. In M. Boffa, D. van Dalen, and K. McAloon, editors, Logic Colloquium'78, pages 335-350. North Holland, Amsterdam, 1979
-
(1979)
Logic Colloquium'78
, pp. 335-350
-
-
Schmerl, U.R.1
-
27
-
-
0348174110
-
The incompleteness theorems
-
J. Barwise, editor. North Holland, Amsterdam
-
Smoryński, C.: The incompleteness theorems. In J. Barwise, editor, Handbook of Mathematical Logic, pages 821-865. North Holland, Amsterdam, 1977
-
(1977)
Handbook of Mathematical Logic
, pp. 821-865
-
-
Smoryński, C.1
-
28
-
-
0010013859
-
Transfinite induction within Peano arithmetic
-
Sommer, R.: Transfinite induction within Peano arithmetic. Annals of Pure and Applied Logic 76, 231-289 (1995)
-
(1995)
Annals of Pure and Applied Logic
, vol.76
, pp. 231-289
-
-
Sommer, R.1
-
29
-
-
84960599352
-
System of logics based on ordinals
-
Turing, A.M.: System of logics based on ordinals. Proc. London Math. Soc. ser. 2, 45, 161-228 (1939)
-
(1939)
Proc. London Math. Soc. Ser. 2
, vol.45
, pp. 161-228
-
-
Turing, A.M.1
-
30
-
-
0040325710
-
Interpretability logic
-
P.P. Petkov, editor. Plenum Press, New York
-
Visser, A.: Interpretability logic. In P.P. Petkov, editor, Mathematical Logic, pages 175-208. Plenum Press, New York, 1990
-
(1990)
Mathematical Logic
, pp. 175-208
-
-
Visser, A.1
-
31
-
-
38249037032
-
On the scheme of induction for bounded arithmetic formulas
-
Wilkie, A., Paris, J.: On the scheme of induction for bounded arithmetic formulas. Annals of Pure and Applied Logic 35, 261-302 (1987)
-
(1987)
Annals of Pure and Applied Logic
, vol.35
, pp. 261-302
-
-
Wilkie, A.1
Paris, J.2
|