@item -k @var{file}
@opindex -k
@cindex sticky bit check
-True if @var{file} has its @dfn{sticky} bit set.
+True if @var{file} exists and has its @dfn{sticky} bit set.
@item -r @var{file}
@opindex -r
@cindex readable file check
-True if @var{file} exists and is readable.
+True if @var{file} exists and read permission is granted.
@item -u @var{file}
@opindex -u
@item -w @var{file}
@opindex -w
@cindex writable file check
-True if @var{file} exists and is writable.
+True if @var{file} exists and write permission is granted.
@item -x @var{file}
@opindex -x
@cindex executable file check
-True if @var{file} exists and is executable.
+True if @var{file} exists and execute permission is granted
+(or search permission, if it is a directory).
@item -O @var{file}
@opindex -O