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20122025
most citedPolynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length

42 citations · 161 across the 23 of their papers we have counts for

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6 papers · 1 filter

cs.LO2024

On Polynomial-Time Decidability of k-Negations Fragments of First-Order Theories

Christoph Haase, Alessio Mansutti, Amaury Pouly

This paper introduces a generic framework that provides sufficient conditions for guaranteeing polynomial-time decidability of fixed-negation fragments of first-order theories that…

cs.LO2022

The Membership Problem for Hypergeometric Sequences with Rational Parameters

Klara Nosan, Amaury Pouly, Mahsa Shirmohammadi +1

We investigate the Membership Problem for hypergeometric sequences: given a hypergeometric sequence of rational numbers and a target $t \in \math…

cs.LO2019★ 10 cited

On the Monniaux Problem in Abstract Interpretation

Nathanaël Fijalkow, Engel Lefaucheux, Pierre Ohlmann +3

The Monniaux Problem in abstract interpretation asks, roughly speaking, whether the following question is decidable: given a program , a safety (\emph{e.g.}, non-reachability) s…

cs.LO2019★ 3 cited

Algebraic Invariants for Linear Hybrid Automata

Rupak Majumdar, Joël Ouaknine, Amaury Pouly +1

We exhibit an algorithm to compute the strongest algebraic (or polynomial) invariants that hold at each location of a given unguarded linear hybrid automaton (i.e., a hybrid automa…

cs.LO2018

Polynomial Invariants for Affine Programs

Ehud Hrushovski, Joël Ouaknine, Amaury Pouly +1

We exhibit an algorithm to compute the strongest polynomial (or algebraic) invariants that hold at each location of a given affine program (i.e., a program having only non-determin…

cs.LO2016★ 3 cited

Model Checking Flat Freeze LTL on One-Counter Automata

Antonia Lechner, Richard Mayr, Joël Ouaknine +2

Freeze LTL is a temporal logic with registers that is suitable for specifying properties of data words. In this paper we study the model checking problem for Freeze LTL on one-coun…