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Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

We establish an assume-guarantee (AG) framework for compositional reasoning about multi-objective queries in parametric probabilistic automata (pPA) - an extension to probabilistic automata (PA), where transition probabilities are functions…

Logic in Computer Science · Computer Science 2025-06-11 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

We study the synthesis problem for systems with a parameterized number of processes. As in the classical case due to Church, the system selects actions depending on the program run so far, with the aim of fulfilling a given specification.…

Logic in Computer Science · Computer Science 2019-11-01 Béatrice Bérard , Benedikt Bollig , Mathieu Lehaut , Nathalie Sznajder

We consider team semantics for propositional logic, continuing our previous work (Yang & V\"a\"an\"anen 2016). In team semantics the truth of a propositional formula is considered in a set of valuations, called a team, rather than in an…

Logic · Mathematics 2018-12-19 Fan Yang , Jouko Väänänen

The unification problem in a propositional logic is to determine, given a formula F, whether there exists a substitution s such that s(F) is in that logic. In that case, s is a unifier of F. When a unifiable formula has minimal complete…

Logic in Computer Science · Computer Science 2020-04-20 Philippe Balbiani , Çiğdem Gencer , Maryam Rostamigiv , Tinko Tinchev

This paper addresses two central problems for probabilistic processing models: parameter estimation from incomplete data and efficient retrieval of most probable analyses. These questions have been answered satisfactorily only for…

cmp-lg · Computer Science 2007-05-23 Stefan Riezler

We investigate the problem of safety verification of infinite-state parameterized programs that are formed based on a rich class of topologies. We introduce a new proof system, called parametric proof spaces, which exploits the underlying…

Logic in Computer Science · Computer Science 2026-01-27 Ruotong Cheng , Azadeh Farzan

Probabilistic independence is a useful concept for describing the result of random sampling---a basic operation in all probabilistic languages---and for reasoning about groups of random variables. Nevertheless, existing verification methods…

Programming Languages · Computer Science 2020-07-21 Gilles Barthe , Justin Hsu , Kevin Liao

We settle the parameterized complexities of several variants of independent set reconfiguration and dominating set reconfiguration, parameterized by the number of tokens. We show that both problems are XL-complete when there is no limit on…

Computational Complexity · Computer Science 2023-10-24 Hans L. Bodlaender , Carla Groenland , Céline M. F. Swennenhuis

We consider logic-based argumentation in which an argument is a pair (Fi,al), where the support Fi is a minimal consistent set of formulae taken from a given knowledge base (usually denoted by De) that entails the claim al (a formula). We…

Computational Complexity · Computer Science 2014-02-28 Nadia Creignou , Uwe Egly , Johannes Schmidt

We investigate the application of Courcelle's Theorem and the logspace version of Elberfeld etal. in the context of the implication problem for propositional sets of formulae, the extension existence problem for default logic, as well as…

Computational Complexity · Computer Science 2011-10-07 Arne Meier , Johannes Schmidt , Michael Thomas , Heribert Vollmer

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2016-01-15 Martin Zimmermann

We introduce an extension of decision problems called resiliency problems. In resiliency problems, the goal is to decide whether an instance remains positive after any (appropriately defined) perturbation has been applied to it. To tackle…

Data Structures and Algorithms · Computer Science 2018-05-04 Jason Crampton , Gregory Gutin , Martin Koutecký , Rémi Watrigant

We show that it is coNP-complete to decide whether a given proof structure of pomset logic is a correct proof net, using the graph-theoretic used in a previous paper of ours (arXiv:1901.10247).

Logic in Computer Science · Computer Science 2023-01-24 Lê Thành Dũng Nguyên

We introduce some new logics of imperfect information by adding atomic formulas corresponding to inclusion and exclusion dependencies to the language of first order logic. The properties of these logics and their relationships with other…

Logic · Mathematics 2011-06-14 Pietro Galliani

We study the parametrized complexity of fundamental relations between multidimensional subshifts, such as equality, conjugacy, inclusion, and embedding, for subshifts of finite type (SFTs) and effective subshifts. We build on previous work…

Dynamical Systems · Mathematics 2026-02-16 Nicanor Carrasco-Vargas , Benjamin Hellouin de Menibus , Rémi Pallen

We investigate the problem of completing partial matrices to rank-one matrices in the standard simplex. The motivation for studying this problem comes from statistics: A lack of eligible completion can provide a falsification test for…

Statistics Theory · Mathematics 2016-04-29 Kaie Kubjas , Zvi Rosen

Parametric path problems arise independently in diverse domains, ranging from transportation to finance, where they are studied under various assumptions. We formulate a general path problem with relaxed assumptions, and describe how this…

Data Structures and Algorithms · Computer Science 2021-06-08 Prerona Chatterjee , Kshitij Gajjar , Jaikumar Radhakrishnan , Girish Varma

In this paper we prove that three of the main propositional logics of dependence (including propositional dependence logic and inquisitive logic), none of which is structural, are structurally complete with respect to a class of…

Logic · Mathematics 2018-12-19 Rosalie Iemhoff , Fan Yang

The languages of logics based on team semantics typically only allow atomic negation or restricted negation. In this paper, we explore propositional team-based logics with full (intuitionistic) negation. We demonstrate that including full…

Logic · Mathematics 2024-10-21 Fan Yang
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