[isabelle-dev] NEWS
Johannes Hölzl
hoelzl at in.tum.de
Mon Apr 23 13:35:24 CEST 2012
Session HOL-Probability: Introduced the type "'a measure" to represent
measures, this replaces the records 'a algebra and 'a measure_space. The
locales based on subset_class now have two locale-parameters the space
\<Omega> and the set of measurables sets M. The product of probability spaces
uses now the same constant as the finite product of sigma-finite measure
spaces "PiM :: ('i => 'a) measure". Most constants are defined now
outside of locales and gain an additional parameter, like null_sets,
almost_eventually or \<mu>'. Measure space constructions for distributions
and densities now got their own constants distr and density. Instead of
using locales to describe measure spaces with a finite space, the
measure count_space and point_measure is introduced. INCOMPATIBILITY.
Renamed constants:
measure -> emeasure
finite_measure.\<mu>' -> measure
product_algebra_generator -> prod_algebra
product_prob_space.emb -> prod_emb
product_prob_space.infprod_algebra -> PiM
Removed locales:
completeable_measure_space
finite_measure_space
finite_prob_space
finite_product_finite_prob_space
finite_product_sigma_algebra
finite_sigma_algebra
measure_space
pair_finite_prob_space
pair_finite_sigma_algebra
pair_finite_space
pair_sigma_algebra
product_sigma_algebra
Removed constants:
distribution -> use distr measure, or distributed predicate
joint_distribution -> use distr measure, or distributed predicate
product_prob_space.infprod_algebra -> use PiM
subvimage
image_space
conditional_space
pair_measure_generator
Replacement theorems:
sigma_algebra.measurable_sigma -> measurable_measure_of
measure_space.additive -> emeasure_additive
measure_space.measure_additive -> plus_emeasure
measure_space.measure_mono -> emeasure_mono
measure_space.measure_top -> emeasure_space
measure_space.measure_compl -> emeasure_compl
measure_space.measure_Diff -> emeasure_Diff
measure_space.measure_countable_increasing -> emeasure_countable_increasing
measure_space.continuity_from_below -> SUP_emeasure_incseq
measure_space.measure_incseq -> incseq_emeasure
measure_space.continuity_from_below_Lim -> Lim_emeasure_incseq
measure_space.measure_decseq -> decseq_emeasure
measure_space.continuity_from_above -> INF_emeasure_decseq
measure_space.measure_insert -> emeasure_insert
measure_space.measure_setsum -> setsum_emeasure
measure_space.measure_finite_singleton -> emeasure_eq_setsum_singleton
finite_additivity_sufficient -> ring_of_sets.countably_additiveI_finite
measure_space.measure_setsum_split -> setsum_emeasure_cover
measure_space.measure_subadditive -> subadditive
measure_space.measure_subadditive_finite -> emeasure_subadditive_finite
measure_space.measure_eq_0 -> emeasure_eq_0
measure_space.measure_finitely_subadditive -> emeasure_subadditive_finite
measure_space.measure_countably_subadditive -> emeasure_subadditive_countably
measure_space.measure_UN_eq_0 -> emeasure_UN_eq_0
measure_unique_Int_stable -> measure_eqI_generator_eq
measure_space.measure_Diff_null_set -> emeasure_Diff_null_set
measure_space.measure_Un_null_set -> emeasure_Un_null_set
measure_space.almost_everywhere_def -> eventually_ae_filter
measure_space.almost_everywhere_vimage -> AE_distrD
measure_space.measure_space_vimage -> emeasure_distr
measure_space.AE_iff_null_set -> AE_iff_null
measure_space.real_measure_Union -> measure_Union
measure_space.real_measure_finite_Union -> measure_finite_Union
measure_space.real_measure_Diff -> measure_Diff
measure_space.real_measure_UNION -> measure_UNION
measure_space.real_measure_subadditive -> measure_subadditive
measure_space.real_measure_setsum_singleton -> measure_eq_setsum_singleton
measure_space.real_continuity_from_below -> Lim_measure_incseq
measure_space.continuity_from_above_Lim -> Lim_emeasure_decseq
measure_space.real_continuity_from_above -> Lim_measure_decseq
measure_space.real_measure_countably_subadditive -> measure_subadditive_countably
finite_measure.finite_measure -> finite_measure.emeasure_finite
finite_measure.finite_measure_eq -> finite_measure.emeasure_eq_measure
finite_measure.positive_measure' -> measure_nonneg
finite_measure.real_measure -> finite_measure.emeasure_real
finite_measure.empty_measure -> measure_empty
finite_measure.finite_measure_countably_subadditive -> finite_measure.finite_measure_subadditive_countably
finite_measure.finite_measure_finite_singleton -> finite_measure.finite_measure_eq_setsum_singleton
finite_measure.finite_continuity_from_below -> finite_measure.finite_Lim_measure_incseq
finite_measure.finite_continuity_from_above -> finite_measure.finite_Lim_measure_decseq
measure_space.simple_integral_vimage -> simple_integral_distr
measure_space.integrable_vimage -> integrable_distr
measure_space.positive_integral_translated_density -> positive_integral_density
measure_space.integral_translated_density -> integral_density
measure_space.integral_vimage -> integral_distr
measure_space_density -> emeasure_density
measure_space.positive_integral_vimage -> positive_integral_distr
measure_space.simple_function_vimage -> simple_function_comp
measure_space.simple_integral_vimage -> simple_integral_distr
pair_sigma_algebra.measurable_cut_fst -> sets_Pair1
pair_sigma_algebra.measurable_cut_snd -> sets_Pair2
pair_sigma_algebra.measurable_pair_image_fst -> measurable_Pair1
pair_sigma_algebra.measurable_pair_image_snd -> measurable_Pair2
pair_sigma_algebra.measurable_product_swap -> measurable_pair_swap_iff
pair_sigma_finite.measure_cut_measurable_fst -> pair_sigma_finite.measurable_emeasure_Pair1
pair_sigma_finite.measure_cut_measurable_snd -> pair_sigma_finite.measurable_emeasure_Pair2
measure_space.measure_not_negative -> emeasure_not_MInf
pair_sigma_finite.measure_preserving_swap -> pair_sigma_finite.distr_pair_swap
pair_sigma_finite.pair_measure_alt -> pair_sigma_finite.emeasure_pair_measure_alt
pair_sigma_finite.pair_measure_alt2 -> pair_sigma_finite.emeasure_pair_measure_alt2
pair_sigma_finite.pair_measure_times -> pair_sigma_finite.emeasure_pair_measure_Times
pair_sigma_algebra.pair_sigma_algebra_measurable -> measurable_pair_swap
pair_sigma_algebra.pair_sigma_algebra_swap_measurable -> measurable_pair_swap'
pair_sigma_algebra.sets_swap -> sets_pair_swap
finite_product_sigma_algebra.in_P -> sets_PiM_I_finite
Int_stable_product_algebra_generator -> positive_integral
product_sigma_finite.measure_fold -> product_sigma_finite.distr_merge
product_sigma_finite.measure_preserving_component_singelton -> product_sigma_finite.distr_singleton
product_sigma_finite.measure_preserving_merge -> product_sigma_finite.distr_merge
finite_product_sigma_algebra.P_empty -> space_PiM_empty, sets_PiM_empty
product_algebra_generator_der -> prod_algebra_eq_finite
product_algebra_generator_into_space -> prod_algebra_sets_into_space
product_sigma_algebra.product_algebra_into_space -> space_closed
product_algebraE -> prod_algebraE_all
product_algebraI -> sets_PiM_I_finite
product_measure_exists -> product_sigma_finite.sigma_finite
sets_product_algebra -> sets_PiM
sigma_product_algebra_sigma_eq -> sigma_prod_algebra_sigma_eq
space_product_algebra -> space_PiM
Int_stable_cuboids -> Int_stable_atLeastAtMost
measure_space.density_is_absolutely_continuous -> absolutely_continuousI_density
sigma_finite_measure.RN_deriv_vimage -> sigma_finite_measure.RN_deriv_distr
prob_space_unique_Int_stable -> measure_eqI_prob_space
sigma_finite_measure.disjoint_sigma_finite -> sigma_finite_disjoint
prob_space.measure_space_1 -> prob_space.emeasure_space_1
prob_space.prob_space_vimage -> prob_space_distr
prob_space.random_variable_restrict -> measurable_restrict
measure_preserving -> equality "distr M N f = N" "f : measurable M N"
measure_unique_Int_stable_vimage -> measure_eqI_generator_eq
measure_space.measure_preserving_Int_stable -> measure_eqI_generator_eq
product_prob_space.finite_index_eq_finite_product -> product_prob_space.sets_PiM_generator
product_prob_space.finite_measure_infprod_emb_Pi -> product_prob_space.measure_PiM_emb
finite_product_prob_space.finite_measure_times -> finite_product_prob_space.finite_measure_PiM_emb
product_prob_space.infprod_spec -> product_prob_space.emeasure_PiM_emb_not_empty
product_prob_space.measurable_component -> measurable_component_singleton
product_prob_space.measurable_emb -> measurable_prod_emb
product_prob_space.measurable_into_infprod_algebra -> measurable_PiM_single
product_prob_space.measurable_singleton_infprod -> measurable_component_singleton
product_prob_space.measure_emb -> emeasure_prod_emb
sequence_space.measure_infprod -> sequence_space.measure_PiM_countable
product_prob_space.measure_preserving_restrict -> product_prob_space.distr_restrict
prob_space.indep_distribution_eq_measure -> prob_space.indep_vars_iff_distr_eq_PiM
prob_space.indep_var_distributionD -> prob_space.indep_var_distribution_eq
conditional_entropy_positive -> conditional_entropy_nonneg_simple
conditional_entropy_eq -> conditional_entropy_simple_distributed
conditional_mutual_information_eq_mutual_information -> conditional_mutual_information_eq_mutual_information_simple
conditional_mutual_information_generic_positive -> conditional_mutual_information_nonneg_simple
conditional_mutual_information_positive -> conditional_mutual_information_nonneg_simple
entropy_commute -> entropy_commute_simple
entropy_eq -> entropy_simple_distributed
entropy_generic_eq -> entropy_simple_distributed
entropy_positive -> entropy_nonneg_simple
entropy_uniform_max -> entropy_uniform
KL_eq_0 -> KL_same_eq_0
KL_eq_0_imp -> KL_eq_0_iff_eq
KL_ge_0 -> KL_nonneg
mutual_information_eq -> mutual_information_simple_distributed
mutual_information_positive -> mutual_information_nonneg_simple
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