Mathematical programming study 31

Mathematical programming based debugging

Verifying that a piece of software has no bugs means proving that it has certain desired properties, such as an array index not taking values outside certain bounds. Abstract interpretation is used in the static analysis of code to establish the inclusion-wise smallest set of values (numerical invariant) that the program variables can attain during program execution. Such sets can be used to de...

Programming as mathematical narrative

This paper describes a narrative-oriented approach to the design and the analysis of a computational system and a set of activities for mathematical learning. Our central contention is that programming can offer a key to resolving the tension between the different representational structures of narrative and mathematical formalism. In the course of describing our approach, we make a distinction...

Mathematical Programming Society Newsletter

Slxrogate Mathematical Programming

The ntd>mensiond veotor, &, 1s selected from E+-=I&. &bQ]. ,1 solution to P i s at hand hexh hen the solution to E satisfies the complementary alackness mnditlon gwen by. ?*#(?*) =&*bO and g(z*i s b 0 , ?\-here ?* eolves E far &=?* B n o o ~ s .WD C:EOFFAIOY'~' hare related this to the elsssical rork of K m m o Tucx~n's"" raddle-pomt erloivalenee by sholring thst. if &* exists, then (s? &'i 1s ...

Positive Mathematical Programming