-
1
-
-
0039681742
-
Randomness in computability theory
-
P. A. Cholak, S. Lempp, M. Lerman, and R. A. Shore (eds.), (Boulder, CO, 1999), of Contemp. MathAmer. Math. Soc., Providence, RI
-
K. Ambos-Spies and A. Kučera, Randomness in computability theory, in P. A. Cholak, S. Lempp, M. Lerman, and R. A. Shore (eds.), Computability Theory and Its Applications (Boulder, CO, 1999), vol. 257 of Contemp. Math. (Amer. Math. Soc., Providence, RI, 2000) 1-14.
-
(2000)
Computability Theory and Its Applications
, vol.257
, pp. 1-14
-
-
Ambos-Spies, K.1
Kučera, A.2
-
3
-
-
84974664381
-
A characterization of c.E. Random reals
-
to appear in
-
C. S. Calude, A characterization of c.e. random reals, to appear in Theoret. Comput. Sci.
-
Theoret. Comput. Sci
-
-
Calude, C.S.1
-
5
-
-
0033595272
-
Randomness everywhere
-
C. S. Calude and G. Chaitin, Randomness everywhere, Nature 400 (1999) 319-320.
-
(1999)
Nature
, vol.400
, pp. 319-320
-
-
Calude, C.S.1
Chaitin, G.2
-
6
-
-
0006893032
-
Program-size complexity of initial segments and domination reducibility
-
J. Karhumäki, H.Maurer, G. Păun, and G. Rozenberg (eds.), Springer-Verlag, Berlin
-
C. S. Calude and R. J. Coles, Program-size complexity of initial segments and domination reducibility, in J. Karhumäki, H.Maurer, G. Păun, and G. Rozenberg (eds.), Jewels Are Forever (Springer-Verlag, Berlin, 1999) 225-237.
-
(1999)
Jewels are Forever
, pp. 225-237
-
-
Calude, C.S.1
Coles, R.J.2
-
7
-
-
0003236129
-
Degree-theoretic aspects of computably enumerable reals
-
S. B. Cooper and J. K. Truss (eds.), of London Math. Soc. Lecture Note SerCambridge Univ. Press, Cambridge
-
C. S. Calude, R. J. Coles, P. H. Hertling, and B. Khoussainov, Degree-theoretic aspects of computably enumerable reals, in S. B. Cooper and J. K. Truss (eds.), Models and Computability (Leeds, 1997), vol. 259 of London Math. Soc. Lecture Note Ser. (Cambridge Univ. Press, Cambridge, 1999) 23-39.
-
(1999)
Models and Computability (Leeds, 1997)
, vol.259
, pp. 23-39
-
-
Calude, C.S.1
Coles, R.J.2
Hertling, P.H.3
Khoussainov, B.4
-
8
-
-
78649893518
-
-
University of Auckland (October 1997), extended abstract in STACS 98, Lecture Notes in Comput. Sci. 1373, Springer, Berlin
-
C. S. Calude, P. H. Hertling, B. Khoussainov, and Y. Wang, Recursively enumerable reals and Chaitin Ω numbers, Centre for Discrete Mathematics and Theoretical Computer Science Research Report Series 59, University of Auckland (October 1997), extended abstract in STACS 98, Lecture Notes in Comput. Sci. 1373, Springer, Berlin, 1998, 596-606.
-
(1998)
Recursively Enumerable Reals and Chaitin
, pp. 596-606
-
-
Calude, C.S.1
Hertling, P.H.2
Khoussainov, B.3
Wang, Y.4
-
9
-
-
33751505024
-
Chaitin Ω numbers and strong reducibilities
-
C. S. Calude and A. Nies, Chaitin Ω numbers and strong reducibilities, J. Univ. Comp. Sci. 3 (1998) 1162-1166.
-
(1998)
J. Univ. Comp. Sci
, vol.3
, pp. 1162-1166
-
-
Calude, C.S.1
Nies, A.2
-
10
-
-
0000702396
-
A pseudofundamental sequence that is not equivalent to a monotone one
-
Russian with English summary
-
G. S. Ceĭtin, A pseudofundamental sequence that is not equivalent to a monotone one, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 20 (1971) 263-271, 290, in Russian with English summary.
-
(1971)
Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
, vol.20
, Issue.290
, pp. 263-271
-
-
Ceĭtin, G.S.1
-
11
-
-
0016532771
-
A theory of program size formally identical to information theory
-
G. J. Chaitin, A theory of program size formally identical to information theory, J. Assoc. Comput. Mach. 22 (1975) 329-340
-
(1975)
J. Assoc. Comput. Mach
, vol.22
, pp. 329-340
-
-
Chaitin, G.J.1
-
12
-
-
0000303535
-
Algorithmic information theory
-
G. J. Chaitin, Algorithmic information theory, IBM J. Res. Develop. 21 (1977) 350-359, 496.
-
(1977)
IBM J. Res. Develop
, vol.21
, Issue.496
, pp. 350-359
-
-
Chaitin, G.J.1
-
13
-
-
0000761947
-
Incompleteness theorems for random reals
-
G. J. Chaitin, Incompleteness theorems for random reals, Adv. in Appl. Math. 8 (1987) 119-146
-
(1987)
Adv. In Appl. Math
, vol.8
, pp. 119-146
-
-
Chaitin, G.J.1
-
14
-
-
84974717712
-
-
2nd edWorld Scientific, River Edge, NJ
-
G. J. Chaitin, Information, Randomness & Incompleteness, vol. 8 of Series in Computer Science, 2nd ed. (World Scientific, River Edge, NJ, 1990)
-
(1990)
Information, Randomness & Incompleteness, Vol. 8 of Series in Computer Science
-
-
Chaitin, G.J.1
-
15
-
-
34247233642
-
Randomness, computability, and density
-
to appear in, (extended abstract in A. Ferreira and H. Reichel (eds.), STACS 2001 Proceedings, Lecture Notes in Computer Science 2010Springer
-
R. Downey, D. R. Hirschfeldt, and A. Nies, Randomness, computability, and density, to appear in SIAM J. Comp. (extended abstract in A. Ferreira and H. Reichel (eds.), STACS 2001 Proceedings, Lecture Notes in Computer Science 2010 (Springer, 2001), 195-205)
-
(2001)
SIAM J. Comp
, pp. 195-205
-
-
Downey, R.1
Hirschfeldt, D.R.2
Nies, A.3
-
16
-
-
84944116273
-
Presentations of computably enumerable reals
-
to appear in
-
R. Downey and G. LaForte, Presentations of computably enumerable reals, to appear in Theoret. Comput. Sci.
-
Theoret. Comput. Sci
-
-
Downey, R.1
Laforte, G.2
-
17
-
-
84974681873
-
Kolmogorov complexity
-
to appear in R. G. Downey and D. R. Hirschfeldt (eds.), Kaikoura, New Zealand, January 7-15
-
L. Fortnow, Kolmogorov complexity, to appear in R. G. Downey and D. R. Hirschfeldt (eds.), Aspects of Complexity, Minicourses in Algorithmics, Complexity, and Computational Algebra, NZMRI Mathematics Summer Meeting, Kaikoura, New Zealand, January 7-15, 2000.
-
(2000)
Aspects of Complexity, Minicourses in Algorithmics, Complexity, and Computational Algebra, NZMRI Mathematics Summer Meeting
-
-
Fortnow, L.1
-
18
-
-
0002452077
-
Relatively recursive reals and real functions
-
C. Ho, Relatively recursive reals and real functions, Theoret. Comput. Sci. 210 (1999) 99-120.
-
(1999)
Theoret. Comput. Sci.
, vol.210
, pp. 99-120
-
-
Ho, C.1
-
19
-
-
0001799236
-
On the definition of some complexity classes of real numbers
-
K.-I. Ko, On the definition of some complexity classes of real numbers, Math. Systems Theory 16 (1983) 95-100.
-
(1983)
Math. Systems Theory
, vol.16
, pp. 95-100
-
-
Ko, K.-I.1
-
20
-
-
0022957598
-
On the continued fraction representation of computable real numbers
-
K.-I. Ko, On the continued fraction representation of computable real numbers, Theoret. Comput. Sci. 47 (1986) 299-313.
-
(1986)
Theoret. Comput. Sci
, vol.47
, pp. 299-313
-
-
Ko, K.-I.1
-
21
-
-
84888288499
-
Three approaches to the quantitative definition of information, Internat
-
A. N. Kolmogorov, Three approaches to the quantitative definition of information, Internat. J. Comput. Math. 2 (1968) 157-168.
-
(1968)
J. Comput. Math
, vol.2
, pp. 157-168
-
-
Kolmogorov, A.N.1
-
22
-
-
84944116274
-
Randomness and recursive enumerability
-
to appear in
-
A. Kučera and T. Slaman, Randomness and recursive enumerability, to appear in SIAM J. Comput.
-
SIAM J. Comput
-
-
Kučera, A.1
Slaman, T.2
-
23
-
-
0001917363
-
Recursive real numbers
-
A. H. Lachlan, Recursive real numbers, J. Symbolic Logic 28 (1963) 1-16.
-
(1963)
J. Symbolic Logic
, vol.28
, pp. 1-16
-
-
Lachlan, A.H.1
-
24
-
-
0000508181
-
On the notion of a random sequence
-
L. Levin, On the notion of a random sequence, Soviet Math. Dokl. 14 (1973) 1413-1416.
-
(1973)
Soviet Math. Dokl
, vol.14
, pp. 1413-1416
-
-
Levin, L.1
-
25
-
-
0001041068
-
The various measures of the complexity of finite objects (An axiomatic description)
-
L. Levin, The various measures of the complexity of finite objects (an axiomatic description), Soviet Math. Dokl. 17 (1976) 522-526.
-
(1976)
Soviet Math. Dokl
, vol.17
, pp. 522-526
-
-
Levin, L.1
-
27
-
-
18344371384
-
The definition of random sequences
-
P. Martin-Löf, The definition of random sequences, Inform. and Control 9 (1966) 602-619.
-
(1966)
Inform. And Control
, vol.9
, pp. 602-619
-
-
Martin-Löf, P.1
-
28
-
-
0001531051
-
Recursive real numbers
-
H. Rice, Recursive real numbers, Proc. Amer. Math. Soc. 5 (1954) 784-791.
-
(1954)
Proc. Amer. Math. Soc
, vol.5
, pp. 784-791
-
-
Rice, H.1
-
29
-
-
0015902552
-
Process complexity and effective random tests
-
C.-P. Schnorr, Process complexity and effective random tests, J. Comput. System Sci. 7 (1973) 376-388.
-
(1973)
J. Comput. System Sci.
, vol.7
, pp. 376-388
-
-
Schnorr, C.-P.1
-
30
-
-
84972500791
-
Cohesive sets and recursively enumerable Dedekind cuts
-
R. Soare, Cohesive sets and recursively enumerable Dedekind cuts, Pacific J. Math. 31 (1969) 215-231.
-
(1969)
Pacific J. Math
, vol.31
, pp. 215-231
-
-
Soare, R.1
-
31
-
-
0000645113
-
Recursion theory and Dedekind cuts
-
R. Soare, Recursion theory and Dedekind cuts, Trans. Amer. Math. Soc. 140 (1969) 271-294.
-
(1969)
Trans. Amer. Math. Soc.
, vol.140
, pp. 271-294
-
-
Soare, R.1
-
32
-
-
4544279425
-
A formal theory of inductive inference I
-
R. J. Solomonoff, A formal theory of inductive inference I, Inform. and Control 7 (1964) 1-22.
-
(1964)
Inform. And Control
, vol.7
, pp. 1-22
-
-
Solomonoff, R.J.1
-
33
-
-
50549204079
-
A formal theory of inductive inference II
-
R. J. Solomonoff, A formal theory of inductive inference II, Inform. and Control 7 (1964) 224-254.
-
(1964)
Inform. And Control
, vol.7
, pp. 224-254
-
-
Solomonoff, R.J.1
-
34
-
-
0004108928
-
-
(May 1975), unpublished manuscript, IBM Thomas J. Watson Research Center, Yorktown Heights, NY
-
R. M. Solovay, Draft of a paper (or series of papers) on Chaitin’s work… done for the most part during the period of Sept.-Dec. 1974 (May 1975), unpublished manuscript, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 215 pages.
-
(1974)
Draft of a Paper (Or Series of Papers) on Chaitin’s Work… Done for the Most Part during the Period of Sept.-Dec
-
-
Solovay, R.M.1
-
35
-
-
77956964279
-
On random r.E. sets
-
A. Arruda, N. Da Costa, and R. Chuaqui (eds.), Campinas, July 11-17, 1976, vol. 89 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam
-
R. M. Solovay, On random r.e. sets, in A. Arruda, N. Da Costa, and R. Chuaqui (eds.), Non-Classical Logics, Model Theory, and Computability. Proceedings of the Third Latin-American Symposium on Mathematical Logic, Campinas, July 11-17, 1976, vol. 89 of Studies in Logic and the Foundations of Mathematics (North-Holland, Amsterdam, 1977) 283-307.
-
(1977)
Non-Classical Logics, Model Theory, and Computability. Proceedings of the Third Latin-American Symposium on Mathematical Logic
, pp. 283-307
-
-
Solovay, R.M.1
-
37
-
-
0039556334
-
-
Tech. rep., Institute for Language, Logic and Information, University of Amsterdam
-
D. Zambella, On sequences with simple initial segments, Tech. rep., Institute for Language, Logic and Information, University of Amsterdam (1990).
-
(1990)
On Sequences with Simple Initial Segments
-
-
Zambella, D.1
|