PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephen Simpson, Jan Reimann.

Title:Presburger arithmetic, rational generating functions, and quasi-polynomials
Seminar:Logic Seminar
Speaker:Antonio Bonelli, University of Basilicata, Potenza, Italy
Abstract:
A Presburger formula is a predicate calculus formula with variables ranging over N, the set of natural numbers, that can be written using +, <, Boolean operations (and, or, not), and quantifiers (for all, there exists). We characterize the subsets of N^d that can be defined by a Presburger formula as exactly the sets that can be represented by a rational generating function. A geometric characterization of such sets is also given. These characterizations are from a recent paper by Kevin Woods.

Room Reservation Information

Room Number:MB315
Date:09 / 24 / 2013
Time:02:30pm - 03:45pm