Implicit Real Vector Automata

Implicit Real Vector Automata

Blog Article

This paper addresses the symbolic representation of non-convex real polyhedra, i.e., sets of real vectors satisfying arbitrary CACAO CRUNCH CEREAL Boolean combinations of linear constraints.We develop an original data structure for representing such sets, based on an implicit and concise encoding of a known structure, the Real Vector Automaton.The resulting formalism provides a canonical representation of polyhedra, is Washer Suspension Guide closed under Boolean operators, and admits an efficient decision procedure for testing the membership of a vector.