Does z3py have functions to create a parametric data type, like what would be generated using the following SMTLIB code?
( declare - datatype List ( par ( T )
( ( nil ) ( cons ( car T ) ( cdr ( List T )) ))))
Yes. See here: https://ericpony.github.io/z3py-tutorial/advanced-examples.htm
Search for the section titled "Datatypes."
Here's the example right from that page, that does exactly what you want:
def DeclareList(sort):
List = Datatype('List_of_%s' % sort.name())
List.declare('cons', ('car', sort), ('cdr', List))
List.declare('nil')
return List.create()
IntList = DeclareList(IntSort())
RealList = DeclareList(RealSort())
IntListList = DeclareList(IntList)