Program Synthesis in the Presence of Infinite Number of Inaccuracies

Most studies modeling inaccurate data in Gold style learning consider cases in which the number of inaccuracies is finite. The present paper argues that this approach is not reasonable for modeling inaccuracies in concepts that are infinite in nature (for example, graphs of computable functions).

[1]  John Case,et al.  Comparison of Identification Criteria for Machine Inductive Inference , 1983, Theor. Comput. Sci..

[2]  Daniel N. Osherson,et al.  Systems That Learn: An Introduction to Learning Theory for Cognitive and Computer Scientists , 1990 .

[3]  Manuel Blum,et al.  Toward a Mathematical Theory of Inductive Inference , 1975, Inf. Control..

[4]  Manuel Blum,et al.  A Machine-Independent Theory of the Complexity of Recursive Functions , 1967, JACM.

[5]  Paul Young,et al.  An introduction to the general theory of algorithms , 1978 .

[6]  Mahendran Velauthapillai,et al.  On the Inference of Approximate Programs , 1990, Theor. Comput. Sci..

[7]  Carl H. Smith,et al.  Inductive Inference: Theory and Methods , 1983, CSUR.

[8]  E. Mark Gold,et al.  Language Identification in the Limit , 1967, Inf. Control..

[9]  Hartley Rogers,et al.  Gödel numberings of partial recursive functions , 1958, Journal of Symbolic Logic.

[10]  Gisela Schäfer Some results in the theory of effective program synthesis: learning by defective information , 1985 .

[11]  Jr. Hartley Rogers Theory of Recursive Functions and Effective Computability , 1969 .

[12]  Sanjay Jain,et al.  Learning in the presence of inaccurate information , 1989, COLT '89.

[13]  Gisela Schäfer-Richter Some results in the theory of effective program synthesis: learning by defective information , 1985, Mathematical Methods of Specification and Synthesis of Software Systems.

[14]  Sanjay Jain Learning in the presence of additional information and inaccurate information , 1991 .

[15]  James S. Royer,et al.  Inductive Inference of Approximations , 1986, Inf. Control..

[16]  Rolf Wiehagen,et al.  Research in the theory of inductive inference by GDR mathematicians - A survey , 1980, Inf. Sci..

[17]  Sanjay Jain Program Synthesis in the Presence of Infinite Number of Inaccuracies , 1996, J. Comput. Syst. Sci..