Compression scheme for digital cinema application
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002
Many natural specifications use types. We investigate the decidability of fragments of many-sorted first-order logic. We identified some decidable fragments and illustrated their usefulness by formalizing specifications considered in the literature. Often the intended interpretations of specifications are finite. We prove that the formulas in these fragments are valid iff they are valid over the finite structures. We extend these results to logics that allow a restricted form of transitive closure. We tried to extend the classical classification of the quantifier prefixes into decidable/undecidable classes to the many-sorted logic. However, our results indicate that a naive extension fails and more subtle classification is needed. © 2009 Elsevier Ltd. All rights reserved.
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002
Yi Zhou, Parikshit Ram, et al.
ICLR 2023
Kafai Lai, Alan E. Rosenbluth, et al.
SPIE Advanced Lithography 2007
Nimrod Megiddo
Journal of Symbolic Computation