Search Results - Descriptive complexity and finite models
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1
The Rabin index of parity games: Its complexity and approximation
ISSN: 0890-5401, 1090-2651Published: Elsevier Inc 01.12.2015Published in Information and computation (01.12.2015)“…We study the descriptive complexity of parity games by taking into account the coloring of their game graphs whilst ignoring their ownership structure…”
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2
Descriptive complexity and revealed preference theory
ISSN: 0165-4896, 1879-3118Published: Amsterdam Elsevier B.V 01.09.2019Published in Mathematical social sciences (01.09.2019)“… is closely connected with the computational tractability of testing that theory. The connection is made through results in descriptive complexity theory, a relatively new field in finite model theory…”
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On (uniform) hierarchical decompositions of finite structures and model-theoretic geometry
ISSN: 0168-0072Published: Elsevier B.V 01.11.2016Published in Annals of pure and applied logic (01.11.2016)“… – an important current in Finite Model Theory and Descriptive Complexity Theory – has a second face in Geometric Model Theory…”
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4
Descriptive complexity of controllable graphs
ISSN: 1877-0509, 1877-0509Published: Elsevier B.V 2023Published in Procedia computer science (2023)“…Let G be a graph on n vertices with adjacency matrix A, and let 1 be the all-ones vector. We call G controllable if the set of vectors 1, A1,..., An-11 spans…”
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Arboreal Categories: An Axiomatic Theory of Resources
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 10.08.2023Published in Logical methods in computer science (10.08.2023)“…Game comonads provide a categorical syntax-free approach to finite model theory, and their Eilenberg-Moore coalgebras typically encode important combinatorial parameters of structures…”
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6
Group Order Logic
Published: IEEE 23.06.2025Published in 2025 40th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) (23.06.2025)“…). As was the case for FP + rk, the model-checking of FP + ord formulae is polynomial-time computable…”
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Inductive Inference by Using Information Compression
ISSN: 0824-7935, 1467-8640Published: Boston, USA and Oxford, UK Blackwell Publishing, Inc 01.05.2003Published in Computational intelligence (01.05.2003)“… This article proposes inductive inference techniques to address three inductive problems: (1) how to automatically construct a general description, a model, or a theory to describe a sequence of observations or experimental data…”
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Definable relations in finite-dimensional subspace lattices with involution
ISSN: 0002-5240, 1420-8911Published: Cham Springer International Publishing 01.09.2018Published in Algebra universalis (01.09.2018)“…For a large class of finite dimensional inner product spaces V , over division ∗ -rings F , we consider definable relations on the subspace lattice L ( V…”
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9
HBIM LEVEL OF DETAIL-GEOMETRY-ACCURACY AND SURVEY ANALYSIS FOR ARCHITECTURAL PRESERVATION
ISSN: 2194-9034, 1682-1750, 2194-9034Published: Gottingen Copernicus GmbH 04.05.2019Published in International archives of the photogrammetry, remote sensing and spatial information sciences. (04.05.2019)“… In the past centuries, the representation was centred on the theoretical roles of the descriptive geometry devoted to the representation of the architectural elements complexity in the space…”
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10
A Finite-Model-Theoretic View on Propositional Proof Complexity
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 01.01.2019Published in Logical methods in computer science (01.01.2019)“…We establish new, and surprisingly tight, connections between propositional proof complexity and finite model theory…”
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11
Querying the Guarded Fragment
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 21.05.2014Published in Logical methods in computer science (21.05.2014)“…, and finite-model property of the guarded fragment do not obviously carry over to conjunctive query answering…”
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12
The Descriptive Complexity Approach to LOGCFL
ISSN: 0022-0000, 1090-2724Published: Elsevier Inc 01.06.2001Published in Journal of computer and system sciences (01.06.2001)“…Building upon the known generalized-quantifier-based first-order characterization of LOGCFL, we lay the groundwork for a deeper investigation. Specifically, we…”
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13
Querying the Guarded Fragment
ISBN: 9781424475889, 1424475880ISSN: 1043-6871Published: IEEE 01.07.2010Published in 2010 25th Annual IEEE Symposium on Logic in Computer Science (01.07.2010)“…, and finite-model property of the guarded fragment do not obviously carry over to conjunctive query answering…”
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14
Characterising Choiceless Polynomial Time with First-Order Interpretations
ISSN: 1043-6871Published: IEEE 01.07.2015Published in 2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science (01.07.2015)“… It is a strict extension of fixed-point logic with counting, but to date the question is open whether it expresses all polynomial-time properties of finite structures…”
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15
Quillen Model Categories-Based Notions of Locality of Logics over Finite Structures
ISSN: 1079-8986, 1943-5894Published: New York, USA Cambridge University Press 01.12.2022Published in The bulletin of symbolic logic (01.12.2022)“…Locality is a property of logics, whose origins lie in the works of Hanf and Gaifman, having their utility in the context of finite model theory…”
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The Quest for a Logic Capturing PTIME
ISBN: 9780769531830, 0769531830ISSN: 1043-6871Published: IEEE 01.06.2008Published in 2008 23rd Annual IEEE Symposium on Logic in Computer Science (01.06.2008)“…The question of whether there is a logic that captures polynomial time is the central open problem in descriptive complexity theory…”
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17
Complexity multiscale asynchrony measure and behavior for interacting financial dynamics
ISSN: 0375-9601, 1873-2429Published: Elsevier B.V 26.08.2016Published in Physics letters. A (26.08.2016)“…A stochastic financial price process is proposed and investigated by the finite-range multitype contact dynamical system, in an attempt to study the nonlinear behaviors of real asset markets…”
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18
An Adaptive Sampling Algorithm for Simulation-Based Optimization With Descriptive Complexity Preference
ISSN: 1545-5955, 1558-3783Published: Piscataway, NJ IEEE 01.10.2011Published in IEEE transactions on automation science and engineering (01.10.2011)“… (or solution candidates) with low descriptive complexity (called simple designs) are usually preferred over complex ones when their performances are close…”
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19
Choiceless polynomial time, counting and the Cai–Fürer–Immerman graphs
ISSN: 0168-0072Published: Elsevier B.V 01.03.2008Published in Annals of pure and applied logic (01.03.2008)“… The program we present uses sets of unbounded finite rank: we demonstrate that this is necessary by showing that the query cannot be computed by any program that has a constant bound on the rank of sets used, even in C ̃ PT(Card…”
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A Second-Order Logic in Which Variables Range over Relations with Complete First-Order Types
ISBN: 1457700735, 9781457700736ISSN: 1522-4902Published: IEEE 01.11.2010Published in 2010 XXIX International Conference of the Chilean Computer Science Society (01.11.2010)“…We introduce a restriction of second order logic, SO F , for finite structures. In this restriction the quantifiers range over relation closed by the equivalence relation Ξ FO…”
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