We devise techniques to manipulate a collection of loosely interpenetrating spheres in threedimensional space. Our study is motivated by the representation and manipulation of mol...
Abstract. This paper presents a constraint-based technique for discovering a rich class of inductive invariants (boolean combinations of polynomial inequalities of bounded degree) ...
The two main types of law are legislation and precedents. Both types have a corresponding reasoning pattern determining legal consequences: legislation can be applied and precedent...
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
A room is a simple polygon with a prespecified point, called the door, on its boundary. A search starts at the door and must detect any intruder that may be in the room, while maki...
Binay K. Bhattacharya, John Z. Zhang, Qiaosheng Sh...