Year-end Sale % OFF 
Abstract
Rudimentary relations are those relations over natural integers that are defined by a first-order arithmetical formula, in which all quantifications are bounded by some variable. Paris and Wilkie conjectured that the class R of rudimentary relations is not closed under modular counting or constant-bounded recursion. A consequence would be the proper containment of R in LINSPACE. It is now known that the closure of R under counting modulo an unsolvable non-abelian finite group, or modulo the semigroup of all binary relations on a finite set, contains ALINTIME. We characterize here the semigroups for which the counting is reducible to modular counting, or contains counting modulo an unsolvable non-abelian finite group.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
