22 Search Results for "Kontinen, Juha"

Document
DOI: 10.4230/LIPIcs.CSL.2026.10
Disjunctions of Two Dependence Atoms

Authors: Nicolas Fröhlich, Phokion G. Kolaitis, and Arne Meier

Published in: LIPIcs, Volume 363, 34th EACSL Annual Conference on Computer Science Logic (CSL 2026)

Abstract
Dependence logic is a formalism that augments the syntax of first-order logic with dependence atoms asserting that the value of a variable is determined by the values of some other variables, i.e., dependence atoms express functional dependencies in relational databases. On finite structures, dependence logic captures NP, hence there are sentences of dependence logic whose model-checking problem is NP-complete. In fact, it is known that there are disjunctions of three dependence atoms whose model-checking problem is NP-complete. Motivated from considerations in database theory, we study the model-checking problem for disjunctions of two unary dependence atoms and establish a trichotomy theorem, namely, for every such formula, one of the following is true for the model-checking problem: (i) it is NL-complete; (ii) it is L-complete; (iii) it is first-order definable (hence, in AC⁰). Furthermore, we classify the complexity of the model-checking problem for disjunctions of two arbitrary dependence atoms, and also characterize when such a disjunction is coherent, i.e., when it satisfies a certain small-model property. Along the way, we identify a new class of 2CNF-formulas whose satisfiability problem is L-complete.
Cite as

Nicolas Fröhlich, Phokion G. Kolaitis, and Arne Meier. Disjunctions of Two Dependence Atoms. In 34th EACSL Annual Conference on Computer Science Logic (CSL 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 363, pp. 10:1-10:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

Copy BibTex To Clipboard

@InProceedings{frohlich_et_al:LIPIcs.CSL.2026.10,
  author =	{Fr\"{o}hlich, Nicolas and Kolaitis, Phokion G. and Meier, Arne},
  title =	{{Disjunctions of Two Dependence Atoms}},
  booktitle =	{34th EACSL Annual Conference on Computer Science Logic (CSL 2026)},
  pages =	{10:1--10:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-411-6},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{363},
  editor =	{Guerrini, Stefano and K\"{o}nig, Barbara},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2026.10},
  URN =		{urn:nbn:de:0030-drops-254343},
  doi =		{10.4230/LIPIcs.CSL.2026.10},
  annote =	{Keywords: Dependence logic, coherence, model-checking, complexity, functional dependencies}
}
Document
DOI: 10.4230/LIPIcs.CSL.2026.36
A Game for Counting Logic Formula Size and an Application to Linear Orders

Authors: Grégoire Fournier and György Turán

Published in: LIPIcs, Volume 363, 34th EACSL Annual Conference on Computer Science Logic (CSL 2026)

Abstract
Ehrenfeucht-Fraïssé (EF) games are a basic tool in finite model theory for proving definability lower bounds, with many applications in complexity theory and related areas. They have been applied to study various logics, giving insights on quantifier rank and other logical complexity measures. In this paper, we present an EF game to capture formula size in counting logic with a bounded number of variables. The game combines games introduced previously for counting logic quantifier rank due to Immerman and Lander, and for first-order formula size due to Adler and Immerman, and Hella and Väänänen. The game is used to prove an extension of a formula size lower bound of Grohe and Schweikardt for distinguishing linear orders, from 3-variable first-order logic to 3-variable counting logic.
Cite as

Grégoire Fournier and György Turán. A Game for Counting Logic Formula Size and an Application to Linear Orders. In 34th EACSL Annual Conference on Computer Science Logic (CSL 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 363, pp. 36:1-36:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

Copy BibTex To Clipboard

@InProceedings{fournier_et_al:LIPIcs.CSL.2026.36,
  author =	{Fournier, Gr\'{e}goire and Tur\'{a}n, Gy\"{o}rgy},
  title =	{{A Game for Counting Logic Formula Size and an Application to Linear Orders}},
  booktitle =	{34th EACSL Annual Conference on Computer Science Logic (CSL 2026)},
  pages =	{36:1--36:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-411-6},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{363},
  editor =	{Guerrini, Stefano and K\"{o}nig, Barbara},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2026.36},
  URN =		{urn:nbn:de:0030-drops-254612},
  doi =		{10.4230/LIPIcs.CSL.2026.36},
  annote =	{Keywords: Finite Model Theory, Logical Aspects of Computational Complexity}
}
Document
DOI: 10.4230/LIPIcs.FSTTCS.2025.20
Flavors of Quantifiers in Hyperlogics

Authors: Marek Chalupa, Thomas A. Henzinger, and Ana Oliveira da Costa

Published in: LIPIcs, Volume 360, 45th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2025)

Abstract
Hypertrace logic is a sorted first-order logic with separate sorts for time and execution traces. Its formulas specify hyperproperties, which are properties relating multiple traces. In this work, we extend hypertrace logic by introducing trace quantifiers that range over the set of all possible traces. In this extended logic, formulas can quantify over two kinds of trace variables: constrained trace variables, which range over a fixed set of traces defined by the model, and unconstrained trace variables, which can be assigned to any trace. In comparison, hyperlogics such as HyperLTL have only constrained trace quantifiers. We use hypertrace logic to study how different quantifier patterns affect the decidability of the satisfiability problem. We prove that hypertrace logic without constrained trace quantifiers is equivalent to monadic second-order logic of one successor (S1S), and therefore satisfiable, and that the trace-prefixed fragment (all trace quantifiers precede all time quantifiers) is equivalent to HyperQPTL. Moreover, we show that all hypertrace formulas where the only alternation between constrained trace quantifiers is from an existential to a universal quantifier are equisatisfiable to formulas without constraints on their trace variables and, therefore, decidable as well. Our framework allows us to study also time-prefixed hyperlogics, for which we provide new decidability and undecidability results.
Cite as

Marek Chalupa, Thomas A. Henzinger, and Ana Oliveira da Costa. Flavors of Quantifiers in Hyperlogics. In 45th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 360, pp. 20:1-20:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{chalupa_et_al:LIPIcs.FSTTCS.2025.20,
  author =	{Chalupa, Marek and Henzinger, Thomas A. and Oliveira da Costa, Ana},
  title =	{{Flavors of Quantifiers in Hyperlogics}},
  booktitle =	{45th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2025)},
  pages =	{20:1--20:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-406-2},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{360},
  editor =	{Aiswarya, C. and Mehta, Ruta and Roy, Subhajit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2025.20},
  URN =		{urn:nbn:de:0030-drops-251016},
  doi =		{10.4230/LIPIcs.FSTTCS.2025.20},
  annote =	{Keywords: Hyperproperties, Satisfiability, First-order Logic, S1S}
}
Document
DOI: 10.4230/LIPIcs.MFCS.2025.10
Characterizing Small Circuit Classes from FAC⁰ to FAC¹ via Discrete Ordinary Differential Equations

Authors: Melissa Antonelli, Arnaud Durand, and Juha Kontinen

Published in: LIPIcs, Volume 345, 50th International Symposium on Mathematical Foundations of Computer Science (MFCS 2025)

Abstract
In this paper, we provide a uniform framework for investigating small circuit classes and bounds through the lens of ordinary differential equations (ODEs). Following an approach recently introduced to capture the class of polynomial-time computable functions via ODE-based recursion schemas and later applied to the context of functions computed by unbounded fan-in circuits of constant depth (FAC⁰), we study multiple relevant small circuit classes. In particular, we show that natural restrictions on linearity and derivation along functions with specific growth rate correspond to kinds of functions that can be proved to be in various classes, ranging from FAC⁰ to FAC¹. This reveals an intriguing link between constraints over linear-length ODEs and circuit computation, providing new tools to tackle the complex challenge of establishing bounds for classes in the circuit hierarchies and possibly enhancing our understanding of the role of counters in this setting. Additionally, we establish several completeness results, in particular obtaining the first ODE-based characterizations for the classes of functions computable in constant depth with unbounded fan-in and Mod 2 gates (FACC[2]) and in logarithmic depth with bounded fan-in Boolean gates (FNC¹).
Cite as

Melissa Antonelli, Arnaud Durand, and Juha Kontinen. Characterizing Small Circuit Classes from FAC⁰ to FAC¹ via Discrete Ordinary Differential Equations. In 50th International Symposium on Mathematical Foundations of Computer Science (MFCS 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 345, pp. 10:1-10:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{antonelli_et_al:LIPIcs.MFCS.2025.10,
  author =	{Antonelli, Melissa and Durand, Arnaud and Kontinen, Juha},
  title =	{{Characterizing Small Circuit Classes from FAC⁰ to FAC¹ via Discrete Ordinary Differential Equations}},
  booktitle =	{50th International Symposium on Mathematical Foundations of Computer Science (MFCS 2025)},
  pages =	{10:1--10:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-388-1},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{345},
  editor =	{Gawrychowski, Pawe{\l} and Mazowiecki, Filip and Skrzypczak, Micha{\l}},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2025.10},
  URN =		{urn:nbn:de:0030-drops-241170},
  doi =		{10.4230/LIPIcs.MFCS.2025.10},
  annote =	{Keywords: Implicit computational complexity, parallel computation, function algebras, ordinary differential equations, circuit complexity}
}
Document
DOI: 10.4230/LIPIcs.STACS.2025.37
On the Existential Theory of the Reals Enriched with Integer Powers of a Computable Number

Authors: Jorge Gallego-Hernández and Alessio Mansutti

Published in: LIPIcs, Volume 327, 42nd International Symposium on Theoretical Aspects of Computer Science (STACS 2025)

Abstract
This paper investigates ∃ℝ(ξ^ℤ), that is the extension of the existential theory of the reals by an additional unary predicate ξ^ℤ for the integer powers of a fixed computable real number ξ > 0. If all we have access to is a Turing machine computing ξ, it is not possible to decide whether an input formula from this theory is satisfiable. However, we show an algorithm to decide this problem when - ξ is known to be transcendental, or - ξ is a root of some given integer polynomial (that is, ξ is algebraic). In other words, knowing the algebraicity of ξ suffices to circumvent undecidability. Furthermore, we establish complexity results under the proviso that ξ enjoys what we call a polynomial root barrier. Using this notion, we show that the satisfiability problem of ∃ℝ(ξ^ℤ) is - in ExpSpace if ξ is an algebraic number, and - in 3Exp if ξ is a logarithm of an algebraic number, Euler’s e, or the number π, among others. To establish our results, we first observe that the satisfiability problem of ∃ℝ(ξ^ℤ) reduces in exponential time to the problem of solving quantifier-free instances of the theory of the reals where variables range over ξ^ℤ. We then prove that these instances have a small witness property: only finitely many integer powers of ξ must be considered to find whether a formula is satisfiable. Our complexity results are shown by relying on well-established machinery from Diophantine approximation and transcendental number theory, such as bounds for the transcendence measure of numbers. As a by-product of our results, we are able to remove the appeal to Schanuel’s conjecture from the proof of decidability of the entropic risk threshold problem for stochastic games with rational probabilities, rewards and threshold [Baier et al., MFCS, 2023]: when the base of the entropic risk is e and the aversion factor is a fixed algebraic number, the problem is (unconditionally) in Exp.
Cite as

Jorge Gallego-Hernández and Alessio Mansutti. On the Existential Theory of the Reals Enriched with Integer Powers of a Computable Number. In 42nd International Symposium on Theoretical Aspects of Computer Science (STACS 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 327, pp. 37:1-37:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{gallegohernandez_et_al:LIPIcs.STACS.2025.37,
  author =	{Gallego-Hern\'{a}ndez, Jorge and Mansutti, Alessio},
  title =	{{On the Existential Theory of the Reals Enriched with Integer Powers of a Computable Number}},
  booktitle =	{42nd International Symposium on Theoretical Aspects of Computer Science (STACS 2025)},
  pages =	{37:1--37:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-365-2},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{327},
  editor =	{Beyersdorff, Olaf and Pilipczuk, Micha{\l} and Pimentel, Elaine and Thắng, Nguy\~{ê}n Kim},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2025.37},
  URN =		{urn:nbn:de:0030-drops-228635},
  doi =		{10.4230/LIPIcs.STACS.2025.37},
  annote =	{Keywords: Theory of the reals with exponentiation, decision procedures, computability}
}
Document
DOI: 10.4230/LIPIcs.CSL.2025.10
The Complexity of Second-Order HyperLTL

Authors: Hadar Frenkel and Martin Zimmermann

Published in: LIPIcs, Volume 326, 33rd EACSL Annual Conference on Computer Science Logic (CSL 2025)

Abstract
We determine the complexity of second-order HyperLTL satisfiability, finite-state satisfiability, and model-checking: All three are equivalent to truth in third-order arithmetic. We also consider two fragments of second-order HyperLTL that have been introduced with the aim to facilitate effective model-checking by restricting the sets one can quantify over. The first one restricts second-order quantification to smallest/largest sets that satisfy a guard while the second one restricts second-order quantification further to least fixed points of (first-order) HyperLTL definable functions. All three problems for the first fragment are still equivalent to truth in third-order arithmetic while satisfiability for the second fragment is Σ₁¹-complete, i.e., only as hard as for (first-order) HyperLTL and therefore much less complex. Finally, finite-state satisfiability and model-checking are in Σ₂² and are Σ₁¹-hard, and thus also less complex than for full second-order HyperLTL.
Cite as

Hadar Frenkel and Martin Zimmermann. The Complexity of Second-Order HyperLTL. In 33rd EACSL Annual Conference on Computer Science Logic (CSL 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 326, pp. 10:1-10:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{frenkel_et_al:LIPIcs.CSL.2025.10,
  author =	{Frenkel, Hadar and Zimmermann, Martin},
  title =	{{The Complexity of Second-Order HyperLTL}},
  booktitle =	{33rd EACSL Annual Conference on Computer Science Logic (CSL 2025)},
  pages =	{10:1--10:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-362-1},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{326},
  editor =	{Endrullis, J\"{o}rg and Schmitz, Sylvain},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2025.10},
  URN =		{urn:nbn:de:0030-drops-227679},
  doi =		{10.4230/LIPIcs.CSL.2025.10},
  annote =	{Keywords: HyperLTL, Satisfiability, Model-checking}
}
Document
DOI: 10.4230/LIPIcs.CSL.2025.17
Description Complexity of Unary Structures in First-Order Logic with Links to Entropy

Authors: Reijo Jaakkola, Antti Kuusisto, and Miikka Vilander

Published in: LIPIcs, Volume 326, 33rd EACSL Annual Conference on Computer Science Logic (CSL 2025)

Abstract
The description complexity of a model is the length of the shortest formula that defines the model. We study the description complexity of unary structures in first-order logic FO, also drawing links to semantic complexity in the form of entropy. The class of unary structures provides, e.g., a simple way to represent tabular Boolean data sets as relational structures. We define structures with FO-formulas that are strictly linear in the size of the model as opposed to using the naive quadratic ones, and we use arguments based on formula size games to obtain related lower bounds for description complexity. For a typical structure the upper and lower bounds in fact match up to a sublinear term, leading to a precise asymptotic result on the expected description complexity of a randomly selected structure. We then give bounds on the relationship between Shannon entropy and description complexity. We extend this relationship also to Boltzmann entropy by establishing an asymptotic match between the two entropies. Despite the simplicity of unary structures, our arguments require the use of formula size games, Stirling’s approximation and Chernoff bounds.
Cite as

Reijo Jaakkola, Antti Kuusisto, and Miikka Vilander. Description Complexity of Unary Structures in First-Order Logic with Links to Entropy. In 33rd EACSL Annual Conference on Computer Science Logic (CSL 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 326, pp. 17:1-17:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{jaakkola_et_al:LIPIcs.CSL.2025.17,
  author =	{Jaakkola, Reijo and Kuusisto, Antti and Vilander, Miikka},
  title =	{{Description Complexity of Unary Structures in First-Order Logic with Links to Entropy}},
  booktitle =	{33rd EACSL Annual Conference on Computer Science Logic (CSL 2025)},
  pages =	{17:1--17:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-362-1},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{326},
  editor =	{Endrullis, J\"{o}rg and Schmitz, Sylvain},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2025.17},
  URN =		{urn:nbn:de:0030-drops-227749},
  doi =		{10.4230/LIPIcs.CSL.2025.17},
  annote =	{Keywords: formula size, finite model theory, formula size games, entropy, randomness}
}
Document
DOI: 10.4230/DagRep.14.3.31
Logics for Dependence and Independence: Expressivity and Complexity (Dagstuhl Seminar 24111)

Authors: Juha Kontinen, Jonni Virtema, Heribert Vollmer, Fan Yang, and Nicolas Fröhlich

Published in: Dagstuhl Reports, Volume 14, Issue 3 (2024)

Abstract
This report documents the programme and outcomes of Dagstuhl Seminar "Logics for Dependence and Independence: Expressivity and Complexity" (24111). This seminar served as a follow-up seminar to the highly successful seminars "Dependence Logic: Theory and Applications" (13071), "Logics for Dependence and Independence" (15261) and "Logics for Dependence and Independence" (19031). A key objective of the seminar was to bring together researchers working in dependence logic and in application areas (for this edition with a particular emphasis on the areas of hyperproperties and formal linguistics), so that they can communicate state-of-the-art advances and embark on a systematic interaction. The goal was especially to reach those researchers who have recently started working in this thriving area, as well as researchers working on several aspects of complexity studies of team-based logics as well as expressivity issues, in particular in the just mentioned application areas. In particular, bringing together researchers from areas of theoretical studies with the application areas aimed at enhancing the synergy between the different communities working on dependence logic.
Cite as

Juha Kontinen, Jonni Virtema, Heribert Vollmer, Fan Yang, and Nicolas Fröhlich. Logics for Dependence and Independence: Expressivity and Complexity (Dagstuhl Seminar 24111). In Dagstuhl Reports, Volume 14, Issue 3, pp. 31-51, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

Copy BibTex To Clipboard

@Article{kontinen_et_al:DagRep.14.3.31,
  author =	{Kontinen, Juha and Virtema, Jonni and Vollmer, Heribert and Yang, Fan and Fr\"{o}hlich, Nicolas},
  title =	{{Logics for Dependence and Independence: Expressivity and Complexity (Dagstuhl Seminar 24111)}},
  pages =	{31--51},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2024},
  volume =	{14},
  number =	{3},
  editor =	{Kontinen, Juha and Virtema, Jonni and Vollmer, Heribert and Yang, Fan and Fr\"{o}hlich, Nicolas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.14.3.31},
  URN =		{urn:nbn:de:0030-drops-211827},
  doi =		{10.4230/DagRep.14.3.31},
  annote =	{Keywords: finite model theory, formal linguistics, hyperproperties, information theory, team semantics}
}
Document
DOI: 10.4230/LIPIcs.MFCS.2024.10
A New Characterization of FAC⁰ via Discrete Ordinary Differential Equations

Authors: Melissa Antonelli, Arnaud Durand, and Juha Kontinen

Published in: LIPIcs, Volume 306, 49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024)

Abstract
Implicit computational complexity is an active area of theoretical computer science, which aims at providing machine-independent characterizations of relevant complexity classes. One of the seminal works in this field appeared in 1965, when Cobham introduced a function algebra closed under bounded recursion on notation to capture FP. Later on, several complexity classes have been characterized using limited recursion schemas. In this context, a new approach was recently introduced, showing that ordinary differential equations (ODEs) offer a natural tool for algorithmic design and providing a characterization of FP by an ODE-schema. The overall goal of the present work is precisely that of generalizing this approach to parallel computation, obtaining an original ODE-characterization for the small circuit classes FAC⁰ and FTC⁰.
Cite as

Melissa Antonelli, Arnaud Durand, and Juha Kontinen. A New Characterization of FAC⁰ via Discrete Ordinary Differential Equations. In 49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 306, pp. 10:1-10:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

Copy BibTex To Clipboard

@InProceedings{antonelli_et_al:LIPIcs.MFCS.2024.10,
  author =	{Antonelli, Melissa and Durand, Arnaud and Kontinen, Juha},
  title =	{{A New Characterization of FAC⁰ via Discrete Ordinary Differential Equations}},
  booktitle =	{49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024)},
  pages =	{10:1--10:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-335-5},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{306},
  editor =	{Kr\'{a}lovi\v{c}, Rastislav and Ku\v{c}era, Anton{\'\i}n},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2024.10},
  URN =		{urn:nbn:de:0030-drops-205664},
  doi =		{10.4230/LIPIcs.MFCS.2024.10},
  annote =	{Keywords: Implicit computational complexity, parallel computation, ordinary differential equations, circuit complexity}
}
Document
DOI: 10.4230/LIPIcs.MFCS.2023.60
Set Semantics for Asynchronous TeamLTL: Expressivity and Complexity

Authors: Juha Kontinen, Max Sandström, and Jonni Virtema

Published in: LIPIcs, Volume 272, 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023)

Abstract
We introduce and develop a set-based semantics for asynchronous TeamLTL. We consider two canonical logics in this setting: the extensions of TeamLTL by the Boolean disjunction and by the Boolean negation. We relate the new semantics with the original semantics based on multisets and establish one of the first positive complexity theoretic results in the temporal team semantics setting. In particular we show that both logics enjoy normal forms that can be utilised to obtain results related to expressivity and complexity (decidability) of the new logics.
Cite as

Juha Kontinen, Max Sandström, and Jonni Virtema. Set Semantics for Asynchronous TeamLTL: Expressivity and Complexity. In 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 272, pp. 60:1-60:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

Copy BibTex To Clipboard

@InProceedings{kontinen_et_al:LIPIcs.MFCS.2023.60,
  author =	{Kontinen, Juha and Sandstr\"{o}m, Max and Virtema, Jonni},
  title =	{{Set Semantics for Asynchronous TeamLTL: Expressivity and Complexity}},
  booktitle =	{48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023)},
  pages =	{60:1--60:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-292-1},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{272},
  editor =	{Leroux, J\'{e}r\^{o}me and Lombardy, Sylvain and Peleg, David},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2023.60},
  URN =		{urn:nbn:de:0030-drops-185949},
  doi =		{10.4230/LIPIcs.MFCS.2023.60},
  annote =	{Keywords: Hyperproperties, Linear Temporal Logic, Team Semantics}
}
Document
DOI: 10.4230/LIPIcs.FSTTCS.2021.52
Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity

Authors: Jonni Virtema, Jana Hofmann, Bernd Finkbeiner, Juha Kontinen, and Fan Yang

Published in: LIPIcs, Volume 213, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)

Abstract
We study the expressivity and complexity of model checking of linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple execution traces. TeamLTL has been introduced quite recently and only few results are known regarding its expressivity and its model checking problem. We relate the expressivity of TeamLTL to logics for hyperproperties obtained by extending LTL with trace and propositional quantifiers (HyperLTL and HyperQPTL). By doing so, we obtain a number of model checking results for TeamLTL and identify its undecidability frontier. In particular, we show decidability of model checking of the so-called left-flat fragment of any downward closed TeamLTL -extension. Moreover, we establish that the model checking problem of TeamLTL with Boolean disjunction and inclusion atoms is undecidable.
Cite as

Jonni Virtema, Jana Hofmann, Bernd Finkbeiner, Juha Kontinen, and Fan Yang. Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity. In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 213, pp. 52:1-52:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

Copy BibTex To Clipboard

@InProceedings{virtema_et_al:LIPIcs.FSTTCS.2021.52,
  author =	{Virtema, Jonni and Hofmann, Jana and Finkbeiner, Bernd and Kontinen, Juha and Yang, Fan},
  title =	{{Linear-Time Temporal Logic with Team Semantics: Expressivity and Complexity}},
  booktitle =	{41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)},
  pages =	{52:1--52:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-215-0},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{213},
  editor =	{Boja\'{n}czyk, Miko{\l}aj and Chekuri, Chandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.52},
  URN =		{urn:nbn:de:0030-drops-155634},
  doi =		{10.4230/LIPIcs.FSTTCS.2021.52},
  annote =	{Keywords: Linear temporal logic, Hyperproperties, Model Checking, Expressivity}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.27
On the Complexity of Horn and Krom Fragments of Second-Order Boolean Logic

Authors: Miika Hannula, Juha Kontinen, Martin Lück, and Jonni Virtema

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Second-order Boolean logic is a generalization of QBF, whose constant alternation fragments are known to be complete for the levels of the exponential time hierarchy. We consider two types of restriction of this logic: 1) restrictions to term constructions, 2) restrictions to the form of the Boolean matrix. Of the first sort, we consider two kinds of restrictions: firstly, disallowing nested use of proper function variables, and secondly stipulating that each function variable must appear with a fixed sequence of arguments. Of the second sort, we consider Horn, Krom, and core fragments of the Boolean matrix. We classify the complexity of logics obtained by combining these two types of restrictions. We show that, in most cases, logics with k alternating blocks of function quantifiers are complete for the kth or (k-1)th level of the exponential time hierarchy. Furthermore, we establish NL-completeness for the Krom and core fragments, when k = 1 and both restrictions of the first sort are in effect.
Cite as

Miika Hannula, Juha Kontinen, Martin Lück, and Jonni Virtema. On the Complexity of Horn and Krom Fragments of Second-Order Boolean Logic. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 27:1-27:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

Copy BibTex To Clipboard

@InProceedings{hannula_et_al:LIPIcs.CSL.2021.27,
  author =	{Hannula, Miika and Kontinen, Juha and L\"{u}ck, Martin and Virtema, Jonni},
  title =	{{On the Complexity of Horn and Krom Fragments of Second-Order Boolean Logic}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{27:1--27:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.27},
  URN =		{urn:nbn:de:0030-drops-134610},
  doi =		{10.4230/LIPIcs.CSL.2021.27},
  annote =	{Keywords: quantified Boolean formulae, computational complexity, second-order logic, Horn and Krom fragment}
}
Document
DOI: 10.4230/LIPIcs.MFCS.2019.19
Counting of Teams in First-Order Team Logics

Authors: Anselm Haak, Juha Kontinen, Fabian Müller, Heribert Vollmer, and Fan Yang

Published in: LIPIcs, Volume 138, 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)

Abstract
We study descriptive complexity of counting complexity classes in the range from #P to #*NP. A corollary of Fagin’s characterization of NP by existential second-order logic is that #P can be logically described as the class of functions counting satisfying assignments to free relation variables in first-order formulae. In this paper we extend this study to classes beyond #P and extensions of first-order logic with team semantics. These team-based logics are closely related to existential second-order logic and its fragments, hence our results also shed light on the complexity of counting for extensions of first-order logic in Tarski’s semantics. Our results show that the class #*NP can be logically characterized by independence logic and existential second-order logic, whereas dependence logic and inclusion logic give rise to subclasses of #*NP and #P, respectively. We also study the function class generated by inclusion logic and relate it to the complexity class TotP, which is a subclass of #P. Our main technical result shows that the problem of counting satisfying assignments for monotone Boolean Sigma_1-formulae is #*NP-complete with respect to Turing reductions as well as complete for the function class generated by dependence logic with respect to first-order reductions.
Cite as

Anselm Haak, Juha Kontinen, Fabian Müller, Heribert Vollmer, and Fan Yang. Counting of Teams in First-Order Team Logics. In 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 138, pp. 19:1-19:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

Copy BibTex To Clipboard

@InProceedings{haak_et_al:LIPIcs.MFCS.2019.19,
  author =	{Haak, Anselm and Kontinen, Juha and M\"{u}ller, Fabian and Vollmer, Heribert and Yang, Fan},
  title =	{{Counting of Teams in First-Order Team Logics}},
  booktitle =	{44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)},
  pages =	{19:1--19:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-117-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{138},
  editor =	{Rossmanith, Peter and Heggernes, Pinar and Katoen, Joost-Pieter},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2019.19},
  URN =		{urn:nbn:de:0030-drops-109634},
  doi =		{10.4230/LIPIcs.MFCS.2019.19},
  annote =	{Keywords: team-based logics, counting classes, finite model theory, descriptive complexity}
}
Document
DOI: 10.4230/DagRep.9.1.28
Logics for Dependence and Independence (Dagstuhl Seminar 19031)

Authors: Erich Grädel, Phokion G. Kolaitis, Juha Kontinen, and Heribert Vollmer

Published in: Dagstuhl Reports, Volume 9, Issue 1 (2019)

Abstract
This report documents the programme and outcomes of Dagstuhl Seminar 19031 "Logics for Dependence and Independence". This seminar served as a follow-up seminar to the highly successful seminars "Dependence Logic: Theory and Applications" (13071) and "Logics for Dependence and Independence" (15261). A key objective of the seminar was to bring together researchers working in dependence logic and in the application areas so that they can communicate state-of-the-art advances and embark on a systematic interaction. The goal was especially to reach those researchers who have recently started working in this thriving area as well as researchers working on several aspects of database theory, separation logic, and logics of uncertainy.
Cite as

Erich Grädel, Phokion G. Kolaitis, Juha Kontinen, and Heribert Vollmer. Logics for Dependence and Independence (Dagstuhl Seminar 19031). In Dagstuhl Reports, Volume 9, Issue 1, pp. 28-46, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

Copy BibTex To Clipboard

@Article{gradel_et_al:DagRep.9.1.28,
  author =	{Gr\"{a}del, Erich and Kolaitis, Phokion G. and Kontinen, Juha and Vollmer, Heribert},
  title =	{{Logics for Dependence and Independence (Dagstuhl Seminar 19031)}},
  pages =	{28--46},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2019},
  volume =	{9},
  number =	{1},
  editor =	{Gr\"{a}del, Erich and Kolaitis, Phokion G. and Kontinen, Juha and Vollmer, Heribert},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.9.1.28},
  URN =		{urn:nbn:de:0030-drops-105682},
  doi =		{10.4230/DagRep.9.1.28},
  annote =	{Keywords: dependence logic, mathematical logic, computational complexity, finite model theory, game theory}
}
Document
Tutorial
DOI: 10.4230/LIPIcs.STACS.2017.1
Computational Aspects of Logics in Team Semantics (Tutorial)

Authors: Juha Kontinen

Published in: LIPIcs, Volume 66, 34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)

Abstract
Team Semantics is a logical framework for the study of various dependency notions that are important in many areas of science. The starting point of this research is marked by the publication of the monograph Dependence Logic (Jouko Väänänen, 2007) in which first-order dependence logic is developed and studied. Since then team semantics has evolved into a flexible framework in which numerous logics have been studied. Much of the work in team semantics has so far focused on results concerning either axiomatic characterizations or the expressive power and computational aspects of various logics. This tutorial provides an introduction to team semantics with a focus on results regarding expressivity and computational aspects of the most prominent logics of the area. In particular, we discuss dependence, independence and inclusion logics in first-order, propositional, and modal team semantics. We show that first-order dependence and independence logic are equivalent with existential second-order logic and inclusion logic with greatest fixed point logic. In the propositional and modal settings we characterize the expressive power of these logics by so-called team bisimulations and determine the complexity of their model checking and satisfiability problems.
Cite as

Juha Kontinen. Computational Aspects of Logics in Team Semantics (Tutorial). In 34th Symposium on Theoretical Aspects of Computer Science (STACS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 66, p. 1:1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

Copy BibTex To Clipboard

@InProceedings{kontinen:LIPIcs.STACS.2017.1,
  author =	{Kontinen, Juha},
  title =	{{Computational Aspects of Logics in Team Semantics}},
  booktitle =	{34th Symposium on Theoretical Aspects of Computer Science (STACS 2017)},
  pages =	{1:1--1:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-028-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{66},
  editor =	{Vollmer, Heribert and Vall\'{e}e, Brigitte},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2017.1},
  URN =		{urn:nbn:de:0030-drops-70333},
  doi =		{10.4230/LIPIcs.STACS.2017.1},
  annote =	{Keywords: team semantics, dependence logic, model checking, satisfiability problem, team bisimulation}
}
  • Refine by Type
  • 22 Document/PDF
  • 8 Document/HTML

  • Refine by Publication Year
  • 2 2026
  • 5 2025
  • 2 2024
  • 1 2023
  • 2 2021
  • Show More...

  • Refine by Author
  • 16 Kontinen, Juha
  • 8 Vollmer, Heribert
  • 5 Virtema, Jonni
  • 4 Durand, Arnaud
  • 3 Yang, Fan
  • Show More...

  • Refine by Series/Journal
  • 18 LIPIcs
  • 4 DagRep

  • Refine by Classification
  • 4 Theory of computation → Complexity theory and logic
  • 4 Theory of computation → Logic and verification
  • 2 Theory of computation → Circuit complexity
  • 2 Theory of computation → Complexity classes
  • 2 Theory of computation → Finite Model Theory
  • Show More...

  • Refine by Keyword
  • 7 finite model theory
  • 6 dependence logic
  • 5 team semantics
  • 3 Hyperproperties
  • 3 computational complexity
  • Show More...

Any Issues?
X

Feedback on the Current Page

CAPTCHA

Thanks for your feedback!

Feedback submitted to Dagstuhl Publishing

Could not send message

Please try again later or send an E-mail
© 2023-2026 Schloss Dagstuhl – LZI GmbH Schloss Dagstuhl – LZI GmbH About DROPS Imprint Privacy Contact