P. Bacik, T. Karimov, F. Luca, J. Nieuwveld,
J. Ouaknine, D. Purser, and J. Worrell.
A
survey of the Skolem and Positivity Problems for linear
recurrence sequences.
Submitted, 2026.
- G. Kenison, O. Klurman, E. Lefaucheux, F. Luca, P. Moree,
J. Ouaknine, E. C. Sertöz, M. A. Whiteland, and J. Worrell.
On the
Positivity Problem for second-order holonomic sequences.
Submitted, 2026.
- Q. Guilmant, F. Luca, R. Mayr, J. Ouaknine, and J. Worrell.
On periodic and
aperiodic optimal strategies in solvency games.
Submitted, 2026.
- P. Kebis, F. Luca, J. Ouaknine, A. Scoones, and J. Worrell.
Transcendence
for Pisot morphic words over an algebraic base.
Ergodic Theory and Dynamical Systems, 2026.
- P. Bacik, J. Nieuwveld, J. Ouaknine, M. Vahanwala, M. Venkatesh,
and E. R. Wieser.
On variable-bounded
non-linear expansions of Presburger arithmetic.
Proceedings of LICS 26, LIPIcs 380, 2026.
- T. Karimov, J. Nieuwveld, and J. Ouaknine.
Rich
sequences and decidability of logical theories.
Submitted, 2026.
- F. Luca, J. Ouaknine, and J. Worrell.
Conjectural
decidability of the Skolem Problem.
Submitted, 2026.
- A. M. Ben-Amram, S. Genaim, J. Ouaknine, and J. Worrell.
Termination
analysis of linear-constraint programs.
Foundations and Trends in Programming Languages 10(1-2), 2026.
- E. C. Sertöz, J. Ouaknine, and J. Worrell.
Computing
transcendence and linear relations of 1-periods.
Submitted, 2025.
- R. Aghamov, C. Baier, T. Karimov, J. Ouaknine, and J. Piribauer.
Linear dynamical systems with weight functions.
Nonlinear Analysis: Hybrid Systems 60, 2026.
- P. Bacik, J. Ouaknine, D. Purser, and J. Worrell.
On
the p-adic Skolem Problem.
Proceedings of STACS 26, LIPIcs 364, 2026.
- P. Bacik, J. Ouaknine, and J. Worrell.
On the
complexity of the Skolem Problem at low orders.
Proceedings of SODA 26, 2026.
- T. Karimov, J. Nieuwveld, J. Ouaknine, M. Vahanwala, and J. Worrell.
Algorithmic
applications of Schanuel's Conjecture.
Proceedings of the Colloquium on Principles of Formal
Quantitative Analysis, 2025.
- F. Luca, J. Ouaknine, and J. Worrell.
On
large zeros of linear recurrence sequences.
Proceedings of MFCS 25, LIPIcs 345, 2025.
- J. Nieuwveld and J. Ouaknine.
On
expansions of monadic second-order logic with dynamical predicates.
Proceedings of MFCS 25, LIPIcs 345, 2025.
- T. Karimov, E. Kelmendi, J. Ouaknine, and J. Worrell.
Multiple
reachability in linear dynamical systems.
Proceedings of LICS 25, 2025.
- F. Luca, J. Ouaknine, and J. Worrell.
Transcendence
of Hecke-Mahler series.
Bulletin of the London Mathematical Society 57(5), 2025.
- N. Fijalkow, E. Lefaucheux, P. Ohlmann, J. Ouaknine, A. Pouly, and J. Worrell.
On
the Monniaux Problem in abstract interpretation.
Journal of the ACM 72(2), 2025.
- Y. Bilu, F. Luca, J. Nieuwveld, J. Ouaknine, and
J. Worrell.
Twisted
rational zeros of linear recurrence sequences.
Journal of the London Mathematical Society 111(3), 2025.
- T. Karimov, F. Luca, J. Nieuwveld, J. Ouaknine, and J. Worrell.
On
the decidability of Presburger arithmetic expanded with
powers.
Proceedings of SODA 25, 2025.
- R. Aghamov, C. Baier, T. Karimov, J. Nieuwveld, J. Ouaknine,
J. Piribauer, and M. Vahanwala.
Model
checking Markov chains as distribution transformers.
Principles of Verification: Cycling the Probabilistic Landscape
-- Essays Dedicated to Joost-Pieter Katoen on the Occasion of His
60th Birthday, LNCS 15261, 2024.
- F. Luca, J. Maynard, A. Noubissie, J. Ouaknine, and J. Worrell.
Skolem meets Bateman-Horn.
Submitted, 2024.
- P. Kebis, F. Luca, J. Ouaknine, A. Scoones, and J. Worrell.
On
transcendence of numbers related to Sturmian and Arnoux-Rauzy words.
Proceedings of ICALP 24, LIPIcs 297, 2024.
- Q. Guilmant, E. Lefaucheux, J. Ouaknine, and J. Worrell.
The
2-dimensional constraint loop problem is decidable.
Proceedings of ICALP 24, LIPIcs 297, 2024.
- V. Berthé, T. Karimov, J. Nieuwveld, J. Ouaknine, M. Vahanwala, and
J. Worrell.
On the decidability
of monadic second-order logic with arithmetic predicates.
Proceedings of LICS 24, 2024.
Distinguished Paper Award.
- V. Berthé, T. Karimov, J. Nieuwveld, J. Ouaknine, M. Vahanwala, and
J. Worrell.
The monadic theory of
toric words.
Theoretical Computer Science 1025, 2024.
- R. Aghamov, C. Baier, T. Karimov, J. Ouaknine, and J. Piribauer.
Linear dynamical systems with continuous weight functions.
Proceedings of HSCC 24, 2024.
ACM SIGBED Best Paper Award.
- J. D'Costa, J. Ouaknine, and J. Worrell.
Nonnegativity
problems for matrix semigroups.
Proceedings of STACS 24, LIPIcs 289, 2024.
- E. Lefaucheux, J. Ouaknine, D. Purser, and J. Worrell.
Porous invariants for linear systems.
Formal Methods in System Design 63(1), 2024.
- F. Luca, J. Ouaknine, and J. Worrell.
On the transcendence of a
series related to Sturmian words.
Annali della Scuola Normale Superiore di Pisa, 2024.
- E. Hrushovski, J. Ouaknine, A. Pouly, and J. Worrell.
On
strongest algebraic program invariants.
Journal of the ACM 70(5), 2023.
- V. Chonev, J. Ouaknine, and J. Worrell.
On the zeros of exponential polynomials.
Journal of the ACM 70(4), 2023.
- Y. Bilu, F. Luca, J. Nieuwveld, J. Ouaknine, and J. Worrell.
On the p-adic zeros
of the Tribonacci sequence.
Mathematics of Computation 93(347), 2023.
- G. Kenison, J. Nieuwveld, J. Ouaknine, and
J. Worrell. Positivity
problems for reversible linear recurrence sequences.
Proceedings of ICALP 23, LIPIcs 261, 2023.
- T. Karimov, E. Kelmendi, J. Nieuwveld, J. Ouaknine, and
J. Worrell. The power of Positivity.
Proceedings of LICS 23, 2023.
- F. Ghahremani, E. Kelmendi, and J. Ouaknine. Reachability in
injective piecewise affine maps.
Proceedings of LICS 23, 2023.
- E. Lefaucheux, J. Ouaknine, D. Purser, M. Sharifi.
Model
checking linear dynamical systems under floating-point rounding.
Proceedings of TACAS 23, LNCS 13993, 2023.
- T. Karimov, E. Kelmendi, J. Ouaknine, and J. Worrell.
What's decidable about discrete linear
dynamical systems?.
Principles of System Design -- Thomas A. Henzinger
Festschrift, LNCS 13660, 2022.
- F. Luca, J. Ouaknine, and J. Worrell.
Algebraic model
checking for discrete linear dynamical systems.
Proceedings of FORMATS 22 (invited paper), LNCS 13465, 2022.
- C. Baier, F. Funke, S. Jantsch, T. Karimov, E. Lefaucheux,
J. Ouaknine, D. Purser, M. A. Whiteland, and J. Worrell.
Parameter synthesis for parametric
probabilistic dynamical systems and prefix-independent
specifications.
Proceedings of CONCUR 22, LIPIcs 243, 2022.
- Y. Bilu, F. Luca, J. Nieuwveld, J. Ouaknine, D. Purser, and J. Worrell.
Skolem meets
Schanuel.
Proceedings of MFCS 22, LIPIcs 241, 2022.
- F. Luca, J. Ouaknine, and J. Worrell.
A universal
Skolem set of positive lower density.
Proceedings of MFCS 22, LIPIcs 241, 2022.
- J. D'Costa, T. Karimov, R. Majumdar, J. Ouaknine, M. Salamati, and J. Worrell.
The pseudo-reachability
problem for diagonalisable linear dynamical systems.
Proceedings of MFCS 22, LIPIcs 241, 2022.
- J. D'Costa, E. Lefaucheux, E. Neumann,
J. Ouaknine, and J. Worrell.
Bounding the escape time of a
linear dynamical system over a compact semialgebraic set.
Proceedings of MFCS 22, LIPIcs 241, 2022.
- R. J. Lipton, F. Luca, J. Nieuwveld, J. Ouaknine, D. Purser, and J. Worrell.
On the Skolem
Problem and the Skolem Conjecture.
Proceedings of LICS 22, 2022.
- T. Karimov, E. Lefaucheux, J. Ouaknine, D. Purser,
A. Varonka, M. A. Whiteland, and J. Worrell.
What's
decidable about linear loops?.
Proceedings of POPL 22, 2022.
- S. Almagor, D. Chistikov, J. Ouaknine, and J. Worrell.
O-minimal invariants for
discrete-time dynamical systems.
ACM TOCL 23(2), 2022.
- C. Baier, F. Funke, S. Jantsch, T. Karimov, E. Lefaucheux, F. Luca,
J. Ouaknine, D. Purser, M. A. Whiteland, and J. Worrell.
The Orbit Problem
for parametric linear dynamical systems.
Proceedings of CONCUR 21, LIPIcs 203, 2021.
- G. Kenison, O. Klurman, E. Lefaucheux, F. Luca, P. Moree,
J. Ouaknine, M. A. Whiteland, and J. Worrell.
On positivity and
minimality for second-order holonomic sequences.
Proceedings of MFCS 21, LIPIcs 202, 2021.
- J. D'Costa, T. Karimov, R. Majumdar, J. Ouaknine, M. Salamati,
S. Soudjani, and J. Worrell.
The Pseudo-Skolem Problem is decidable.
Proceedings of MFCS 21, LIPIcs 202, 2021.
- J. D'Costa, E. Lefaucheux, E. Neumann, J. Ouaknine, and J. Worrell.
On the
complexity of the Escape Problem for linear dynamical systems over compact
semialgebraic sets.
Proceedings of MFCS 21, LIPIcs 202, 2021.
- E. Neumann, J. Ouaknine, and J. Worrell.
Decision
problems for second-order holonomic recurrences.
Proceedings of ICALP 21, LIPIcs 198, 2021.
- E. Lefaucheux, J. Ouaknine, D. Purser, and J. Worrell.
Porous
invariants.
Proceedings of CAV 21, LNCS 12760, 2021.
- F. Luca, J. Ouaknine, and J. Worrell.
Universal Skolem sets.
Proceedings of LICS 21, 2021.
Distinguished Paper Award.
- S. Almagor, T. Karimov, E. Kelmendi,
J. Ouaknine, and J. Worrell.
Deciding
ω-regular properties on linear recurrence sequences.
Proceedings of POPL 21, 2021.
- C. Baier, F. Funke, S. Jantsch, T. Karimov, E. Lefaucheux,
J. Ouaknine, A. Pouly, D. Purser, and M. A. Whiteland.
Reachability
in dynamical systems with rounding.
Proceedings of FSTTCS 20, LIPIcs 182, 2020.
- R. Majumdar, J. Ouaknine, A. Pouly, and J. Worrell.
Algebraic
invariants for linear hybrid automata.
Proceedings of CONCUR 20, LIPIcs 171, 2020.
- E. Neumann, J. Ouaknine, and J. Worrell.
On ranking
function synthesis and termination for polynomial programs.
Proceedings of CONCUR 20, LIPIcs 171, 2020.
- T. Karimov, J. Ouaknine, and J. Worrell.
On LTL model-checking for
low-dimensional discrete linear dynamical systems.
Proceedings of MFCS 20, LIPIcs 170, 2020.
- G. Kenison, R. J. Lipton, J. Ouaknine, and J. Worrell.
On the Skolem Problem and
prime powers.
Proceedings of ISSAC 20, 2020.
- S. Almagor, E. Kelmendi, J. Ouaknine, and J. Worrell.
Invariants
for continuous linear dynamical systems.
Proceedings of ICALP 20, LIPIcs 168, 2020.
- J. D'Costa, E. Lefaucheux, J. Ouaknine, and J. Worrell.
How fast can you escape a compact polytope?.
Proceedings of STACS 20, LIPIcs 154, 2020.
- S. Almagor, J. Ouaknine, and J. Worrell.
First-order orbit queries.
Theory of Computing Systems 65(4), 2020.
- N. Fijalkow, E. Lefaucheux, P. Ohlmann, J. Ouaknine, A. Pouly, and J. Worrell.
On
the Monniaux Problem in abstract interpretation.
Proceedings of SAS 19, LNCS 11822, 2019.
- M. Hosseini, J. Ouaknine, and
J. Worrell.
Termination
of linear loops over the integers.
Proceedings of ICALP 19, LIPIcs 132, 2019.
- T. Colcombet, J. Ouaknine, P. Semukhin, and
J. Worrell.
On reachability
problems for low-dimensional matrix semigroups.
Proceedings of ICALP 19, LIPIcs 132, 2019.
- N. Fijalkow, P. Ohlmann, J. Ouaknine, A. Pouly, and J. Worrell.
Complete
semialgebraic invariant synthesis for the Kannan-Lipton Orbit Problem.
Theory of Computing Systems 63(5), 2019.
- N. Fijalkow, J. Ouaknine, A. Pouly, J. Sousa Pinto, and
J. Worrell.
On the
decidability of reachability in linear time-invariant
systems.
Proceedings of HSCC 19, 2019.
- S. Almagor, J. Ouaknine, and J. Worrell.
The Semialgebraic Orbit Problem.
Proceedings of STACS 19, LIPIcs 126, 2019.
- J. Ouaknine, A. Pouly, J. Sousa Pinto, and J. Worrell.
On the decidability
of membership in matrix-exponential semigroups.
Journal of the ACM 66(2), 2019.
- S. Almagor, B. Chapman, M. Hosseini, J. Ouaknine, and J. Worrell.
Effective divergence analysis for linear recurrence sequences.
Proceedings of CONCUR 18, LIPIcs 118, 2018.
- S. Almagor, D. Chistikov, J. Ouaknine, and J. Worrell.
O-minimal invariants for linear loops.
Proceedings of ICALP 18, LIPIcs 107, 2018.
- E. Hrushovski, J. Ouaknine, A. Pouly, and J. Worrell.
Polynomial invariants for affine programs.
Proceedings of LICS 18, 2018.
- S. Almagor, J. Ouaknine, and J. Worrell.
The
Polytope-Collision Problem.
Proceedings of ICALP 17, LIPIcs 80, 2017.
- J. Ouaknine, J. Sousa Pinto, and J. Worrell.
On the Polytope Escape
Problem for continuous linear dynamical systems.
Proceedings of HSCC 17, 2017.
- N. Fijalkow, P. Ohlmann, J. Ouaknine, A. Pouly, and J. Worrell.
Semialgebraic
invariant synthesis for the Kannan-Lipton Orbit Problem.
Proceedings of STACS 17, LIPIcs 66, 2017.
- V. Chonev, J. Ouaknine, and J. Worrell.
On the Skolem Problem for
continuous linear dynamical systems.
Proceedings of ICALP 16, LIPIcs 55, 2016.
- V. Chonev, J. Ouaknine, and J. Worrell.
On recurrent
reachability for continuous linear dynamical systems.
Proceedings of LICS 16, 2016.
- J. Ouaknine, A. Pouly, J. Sousa Pinto, and J. Worrell.
Solvability of
matrix-exponential equations.
Proceedings of LICS 16, 2016.
- V. Chonev, J. Ouaknine, and J. Worrell.
On the complexity of the Orbit Problem.
Journal of the ACM 63(3), 2016.
Notable Article,
ACM Computing Reviews 21st Annual Best of Computing (2016).
- J. Ouaknine and J. Worrell.
On linear recurrence sequences and loop termination (a survey).
ACM SIGLOG News 2(2), 2015.
- E. Galby, J. Ouaknine, and J. Worrell.
On matrix powering in low dimensions.
Proceedings of STACS 15, LIPIcs 30, 2015.
- J. Ouaknine, J. Sousa Pinto, and J. Worrell.
On termination of integer linear loops.
Proceedings of SODA 15, 2015.
- V. Chonev, J. Ouaknine, and J. Worrell.
The Polyhedron-Hitting Problem.
Proceedings of SODA 15, 2015.
- S. Akshay, T. Antonopoulos, J. Ouaknine, and J. Worrell.
Reachability problems for Markov chains.
Information Processing Letters 115(2), 2015.
- J. Ouaknine and J. Worrell.
Ultimate
Positivity is decidable for simple linear recurrence sequences.
Proceedings of ICALP 14, LNCS 8573, 2014.
Best Paper Award.
- J. Ouaknine and J. Worrell.
On the Positivity Problem
for simple linear recurrence sequences.
Proceedings of ICALP 14, LNCS 8573, 2014.
- J. Ouaknine and J. Worrell.
Positivity
problems for low-order linear recurrence sequences.
Proceedings of SODA 14, 2014.
- V. Chonev, J. Ouaknine, and J. Worrell.
The Orbit Problem in
higher dimensions.
Proceedings of STOC 13, 2013.
- J. Ouaknine and J. Worrell.
Decision problems for
linear recurrence sequences.
Proceedings of RP 12 (invited paper), LNCS 7550, 2012.