Tadaki, Kohtaro Algorithmic information theory and its statistical mechanical interpretation. (English. Japanese original) Zbl 1455.68076 Sugaku Expo. 33, No. 1, 1-29 (2020); translation from Sūgaku 67, No. 1, 1-15 (2015). Reviewer: Cristian S. Calude (Auckland) MSC: 68Q30 03D32 82B03 82B10 PDFBibTeX XMLCite \textit{K. Tadaki}, Sugaku Expo. 33, No. 1, 1--29 (2020; Zbl 1455.68076); translation from Sūgaku 67, No. 1, 1--15 (2015) Full Text: DOI
Tadaki, Kohtaro A Chaitin \(\Omega\) number based on compressible strings. (English) Zbl 1251.68122 Nat. Comput. 11, No. 1, 117-128 (2012). MSC: 68Q30 03D32 68Q05 PDFBibTeX XMLCite \textit{K. Tadaki}, Nat. Comput. 11, No. 1, 117--128 (2012; Zbl 1251.68122) Full Text: DOI
Tadaki, Kohtaro A statistical mechanical interpretation of algorithmic information theory. III: Composite systems and fixed points. (English) Zbl 1250.68136 Math. Struct. Comput. Sci. 22, No. 5, 752-770 (2012). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 68Q30 82B30 82B03 PDFBibTeX XMLCite \textit{K. Tadaki}, Math. Struct. Comput. Sci. 22, No. 5, 752--770 (2012; Zbl 1250.68136) Full Text: DOI arXiv
Tadaki, Kohtaro Phase transition between unidirectionality and bidirectionality. (English) Zbl 1353.03044 Dinneen, Michael J. (ed.) et al., Computation, physics and beyond. International workshop on theoretical computer science, WTCS 2012, dedicated to Cristian S. Calude on the occasion of his 60th birthday, Auckland, New Zealand, February 21–24, 2012. Revised selected and invited papers. Berlin: Springer (ISBN 978-3-642-27653-8/pbk). Lecture Notes in Computer Science 7160, 203-223 (2012). MSC: 03D30 68Q30 82B03 82B30 PDFBibTeX XMLCite \textit{K. Tadaki}, Lect. Notes Comput. Sci. 7160, 203--223 (2012; Zbl 1353.03044) Full Text: DOI arXiv
Tadaki, K. Fixed point theorems on partial randomness. (English) Zbl 1247.03088 Ann. Pure Appl. Logic 163, No. 7, 763-774 (2012). MSC: 03D32 68Q30 82B03 PDFBibTeX XMLCite \textit{K. Tadaki}, Ann. Pure Appl. Logic 163, No. 7, 763--774 (2012; Zbl 1247.03088) Full Text: DOI
Tadaki, Kohtaro Fixed point theorems on partial randomness. (English) Zbl 1211.68222 Artemov, Sergei (ed.) et al., Logical foundations of computer science. International symposium, LFCS 2009, Deerfield Beach, FL, USA, January 3–6, 2009. Proceedings. Berlin: Springer (ISBN 978-3-540-92686-3/pbk). Lecture Notes in Computer Science 5407, 422-440 (2009). MSC: 68Q30 03D32 82B03 PDFBibTeX XMLCite \textit{K. Tadaki}, Lect. Notes Comput. Sci. 5407, 422--440 (2009; Zbl 1211.68222) Full Text: DOI arXiv
Tadaki, Kohtaro An extension of Chaitin’s halting probability \(\Omega\) to a measurement operator in an infinite dimensional quantum system. (English) Zbl 1109.03041 Math. Log. Q. 52, No. 5, 419-438 (2006). MSC: 03D80 03F60 68Q30 81P15 47S30 PDFBibTeX XMLCite \textit{K. Tadaki}, Math. Log. Q. 52, No. 5, 419--438 (2006; Zbl 1109.03041) Full Text: DOI