J. Nurmonen, Counting modulo quantifiers on finite structures: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Ehrenfeucht-Fraisse games, finite model theory, counting modulo quantifiers. Revised version appears in, Information and Computation, vol. 160, pp. 62-87, 2000. Abstract Postscript file PDF-file L. Hella and J. Nurmonen, Vectorization hierarchies of some graph quantifiers: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Ehrenfeucht-Fraisse games, finite model theory, generalized quantifiers, vectorization. Revised version appears in, Archive for Mathematical Logic, vol. 39(3), pp. 183-207, 2000. Abstract Postscript file PDF-file L. Hella, L. Libkin and J. Nurmonen, Notions of locality and their logical characterizations over finite models: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, The Journal of Symbolic Logic, vol. 64(4), pp. 1751-1773, 1999. Abstract Postscript file PDF-file L. Libkin and J. Nurmonen, Counting and locality over finite structures - A survey: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, J. Väänänen (editor), Generalized quantifiers and Computation, Springer Lecture Notes in Computer Science, vol. 1754, pp. 18-50, 1999. Abstract Postscript file PDF-file L. Hella, L. Libkin, J. Nurmonen and L. Wong, Logics with aggregate operators: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Finite model theory, database theory, aggregation, expressive power. Revised version appears in, Journal of the ACM, vol. 48(4), pp. 880-907, 2001. Abstract Postscript file PDF-file J. Nurmonen, P vs. NP - kysymys ratkaisun keksimisestä ja sen tarkistamisesta: AMS classification: 68-01. Keywords: theoretical computer science. Revised version to appear in, Arkhimedes. Postscript file PDF-file J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005 On-line article
L. Hella and J. Nurmonen, Vectorization hierarchies of some graph quantifiers: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Ehrenfeucht-Fraisse games, finite model theory, generalized quantifiers, vectorization. Revised version appears in, Archive for Mathematical Logic, vol. 39(3), pp. 183-207, 2000. Abstract Postscript file PDF-file L. Hella, L. Libkin and J. Nurmonen, Notions of locality and their logical characterizations over finite models: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, The Journal of Symbolic Logic, vol. 64(4), pp. 1751-1773, 1999. Abstract Postscript file PDF-file L. Libkin and J. Nurmonen, Counting and locality over finite structures - A survey: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, J. Väänänen (editor), Generalized quantifiers and Computation, Springer Lecture Notes in Computer Science, vol. 1754, pp. 18-50, 1999. Abstract Postscript file PDF-file L. Hella, L. Libkin, J. Nurmonen and L. Wong, Logics with aggregate operators: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Finite model theory, database theory, aggregation, expressive power. Revised version appears in, Journal of the ACM, vol. 48(4), pp. 880-907, 2001. Abstract Postscript file PDF-file J. Nurmonen, P vs. NP - kysymys ratkaisun keksimisestä ja sen tarkistamisesta: AMS classification: 68-01. Keywords: theoretical computer science. Revised version to appear in, Arkhimedes. Postscript file PDF-file J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005 On-line article
L. Hella, L. Libkin and J. Nurmonen, Notions of locality and their logical characterizations over finite models: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, The Journal of Symbolic Logic, vol. 64(4), pp. 1751-1773, 1999. Abstract Postscript file PDF-file L. Libkin and J. Nurmonen, Counting and locality over finite structures - A survey: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, J. Väänänen (editor), Generalized quantifiers and Computation, Springer Lecture Notes in Computer Science, vol. 1754, pp. 18-50, 1999. Abstract Postscript file PDF-file L. Hella, L. Libkin, J. Nurmonen and L. Wong, Logics with aggregate operators: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Finite model theory, database theory, aggregation, expressive power. Revised version appears in, Journal of the ACM, vol. 48(4), pp. 880-907, 2001. Abstract Postscript file PDF-file J. Nurmonen, P vs. NP - kysymys ratkaisun keksimisestä ja sen tarkistamisesta: AMS classification: 68-01. Keywords: theoretical computer science. Revised version to appear in, Arkhimedes. Postscript file PDF-file J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005 On-line article
L. Libkin and J. Nurmonen, Counting and locality over finite structures - A survey: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Revised version appears in, J. Väänänen (editor), Generalized quantifiers and Computation, Springer Lecture Notes in Computer Science, vol. 1754, pp. 18-50, 1999. Abstract Postscript file PDF-file L. Hella, L. Libkin, J. Nurmonen and L. Wong, Logics with aggregate operators: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Finite model theory, database theory, aggregation, expressive power. Revised version appears in, Journal of the ACM, vol. 48(4), pp. 880-907, 2001. Abstract Postscript file PDF-file J. Nurmonen, P vs. NP - kysymys ratkaisun keksimisestä ja sen tarkistamisesta: AMS classification: 68-01. Keywords: theoretical computer science. Revised version to appear in, Arkhimedes. Postscript file PDF-file J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005 On-line article
L. Hella, L. Libkin, J. Nurmonen and L. Wong, Logics with aggregate operators: AMS classification: 03C13, 03C80, 68Q15, 68Q19. Keywords: Finite model theory, database theory, aggregation, expressive power. Revised version appears in, Journal of the ACM, vol. 48(4), pp. 880-907, 2001. Abstract Postscript file PDF-file J. Nurmonen, P vs. NP - kysymys ratkaisun keksimisestä ja sen tarkistamisesta: AMS classification: 68-01. Keywords: theoretical computer science. Revised version to appear in, Arkhimedes. Postscript file PDF-file J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005 On-line article
J. Nurmonen, P vs. NP - kysymys ratkaisun keksimisestä ja sen tarkistamisesta: AMS classification: 68-01. Keywords: theoretical computer science. Revised version to appear in, Arkhimedes. Postscript file PDF-file J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005 On-line article
J. Karhima, J. Nurmonen and M. Pauna, Course Content Dictionary for sharing on-line educational materials: Maths CCA series, Aug 2005