src/HOL/Probability/Information.thy
 2011-06-09 hoelzl 2011-06-09 lemma: independence is equal to mutual information = 0 file | diff | annotate 2011-03-29 hoelzl 2011-03-29 rename Probability_Space to Probability_Measure file | diff | annotate 2011-03-22 hoelzl 2011-03-22 standardized headers file | diff | annotate 2011-03-14 hoelzl 2011-03-14 reworked Probability theory: measures are not type restricted to positive extended reals file | diff | annotate 2011-02-23 hoelzl 2011-02-23 add lemma KL_divergence_vimage, mutual_information_generic file | diff | annotate 2011-02-02 hoelzl 2011-02-02 the measure valuation is again part of the measure_space type, instead of an explicit parameter to the locale; changed syntax for simple_function, simple_integral, positive_integral, integral and RN_deriv. introduced binder variants for simple_integral, positive_integral and integral. file | diff | annotate 2011-01-24 hoelzl 2011-01-24 use pre-image measure, instead of image file | diff | annotate 2010-12-29 wenzelm 2010-12-29 explicit file specifications -- avoid secondary load path; file | diff | annotate 2010-12-08 hoelzl 2010-12-08 cleanup bijectivity btw. product spaces and pairs file | diff | annotate 2010-12-03 hoelzl 2010-12-03 it is known as the extended reals, not the infinite reals file | diff | annotate 2010-12-01 hoelzl 2010-12-01 Support product spaces on sigma finite measures. Introduce the almost everywhere quantifier. Introduce 'morphism' theorems for most constants. Prove uniqueness of measures on cut stable generators. Prove uniqueness of the Radon-Nikodym derivative. Removed misleading suffix from borel_space and lebesgue_space. Use product spaces to introduce Fubini on the Lebesgue integral. Combine Euclidean_Lebesgue and Lebesgue_Measure. Generalize theorems about mutual information and entropy to arbitrary probability spaces. Remove simproc mult_log as it does not work with interpretations. Introduce completion of measure spaces. Change type of sigma. Introduce dynkin systems. file | diff | annotate 2010-09-13 nipkow 2010-09-13 renamed lemmas: ext_iff -> fun_eq_iff, set_ext_iff -> set_eq_iff, set_ext -> set_eqI file | diff | annotate 2010-09-07 nipkow 2010-09-07 expand_fun_eq -> ext_iff expand_set_eq -> set_ext_iff Naming in line now with multisets file | diff | annotate 2010-09-02 hoelzl 2010-09-02 Moved lemmas to appropriate locations file | diff | annotate 2010-09-02 hoelzl 2010-09-02 move lemmas to correct theory files file | diff | annotate 2010-08-23 hoelzl 2010-08-23 Rewrite the Probability theory. Introduced pinfreal as real numbers with infinity. Use pinfreal as value for measures. Introduces Lebesgue Measure based on the integral in Multivariate Analysis. Proved Radon Nikodym for arbitrary sigma finite measure spaces. file | diff | annotate 2010-05-04 hoelzl 2010-05-04 Corrected imports; better approximation of dependencies. file | diff | annotate 2010-05-03 hoelzl 2010-05-03 Cleanup information theory file | diff | annotate 2010-05-03 hoelzl 2010-05-03 Moved Convex theory to library. file | diff | annotate 2010-04-07 hoelzl 2010-04-07 Added Information theory and Example: dining cryptographers file | diff | annotate