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.
#!/usr/bin/env bash## Author: Markus Wenzel, TU Muenchen## build - compile the Isabelle system and object-logicsif [ -L "$0" ]; then TARGET="$(LC_ALL=C ls -l "$0" | sed 's/.* -> //')" exec "$(cd "$(dirname "$0")"; cd "$(pwd -P)"; cd "$(dirname "$TARGET")"; pwd)/$(basename "$TARGET")" "$@"fi## global settingsALL_LOGICS="Pure FOL HOL ZF CCL CTT Cube FOLP HOLCF LCF Sequents"## settingsPRG="$(basename "$0")"ISABELLE_HOME="$(cd "$(dirname "$0")"; pwd -P)"source "$ISABELLE_HOME/lib/scripts/getsettings" || exit 2ISABELLE_OUTPUT="$ISABELLE_HOME/heaps/$ML_IDENTIFIER"ISABELLE_BROWSER_INFO="$ISABELLE_HOME/browser_info"## diagnosticsfunction usage(){ echo echo "Usage: $PRG [OPTIONS] [LOGICS ...]" echo echo " Options are:" echo " -a all logics" echo " -b batch mode" echo " -i make images" echo " -m TARGET make this target" echo " -t make test" echo echo " Compile the named LOGICS (default $ISABELLE_LOGIC), or all object logics" echo " in the distribution." echo exit 1}function fail(){ echo "$1" >&2 exit 2}## process command line# optionsALL=""BATCH=""TARGETS=""while getopts "abim:t" OPTdo case "$OPT" in a) ALL=true ;; b) BATCH=true ;; i) TARGETS="$TARGETS images" ;; m) TARGETS="$TARGETS $OPTARG" ;; t) TARGETS="$TARGETS test" ;; \?) usage ;; esacdoneshift $(($OPTIND - 1))# argsLOGICS="$@"[ -n "$ALL" ] && LOGICS="$LOGICS $ALL_LOGICS"[ -z "$LOGICS" ] && LOGICS="$ISABELLE_LOGIC"## main# tell the user about current valuesif [ -z "$BATCH" ]; then echo echo " *****************************" echo " * Welcome to Isabelle build *" echo " *****************************" echo echo "Please check $ISABELLE_HOME/etc/settings" [ -f "$ISABELLE_HOME_USER/etc/settings" ] && echo "AND $ISABELLE_HOME_USER/etc/settings" echo "to make sure that Isabelle's ML system settings and compilation options" echo "are appropriate." echo echo "The current values are:" echo echo " ML_SYSTEM=$ML_SYSTEM" echo " ML_HOME=$ML_HOME" echo " ML_OPTIONS=$ML_OPTIONS" echo " ML_PLATFORM=$ML_PLATFORM" echo echo " ISABELLE_USEDIR_OPTIONS=$ISABELLE_USEDIR_OPTIONS"fi# check logicsif [ -z "$BATCH" ]; then echo echo echo "Press RETURN to compilation of" echofiMAKE_LOGICS=""for L in $LOGICSdo DIR="$ISABELLE_HOME/src/$L" if [ -f "$DIR/IsaMakefile" ]; then MAKE_LOGICS="$MAKE_LOGICS $L" else echo "No such logic: $L" fidoneif [ -z "$BATCH" ]; then echo " $MAKE_LOGICS" [ -n "$TARGETS" ] && echo " (targets:$TARGETS)" echo readelse echo echo "Isabelle build: $MAKE_LOGICS" [ -n "$TARGETS" ] && echo "(targets:$TARGETS)" echo echo "ML_SYSTEM=$ML_SYSTEM" echo "ML_HOME=$ML_HOME" echo "ML_OPTIONS=$ML_OPTIONS" echo "ML_PLATFORM=$ML_PLATFORM" echo echo "ISABELLE_USEDIR_OPTIONS=$ISABELLE_USEDIR_OPTIONS" echofi# build itecho "Started at $(date) ($ML_IDENTIFIER on $(hostname))". "$ISABELLE_HOME/lib/scripts/timestart.bash"for L in $MAKE_LOGICSdo ( cd "$ISABELLE_HOME/src/$L"; "$ISABELLE_TOOL" make $TARGETS )doneecho -n "Finished at "; date. "$ISABELLE_HOME/lib/scripts/timestop.bash"echo "$TIMES_REPORT"