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20052023
most citedAckermannian and Primitive-Recursive Bounds with Dickson's Lemma

107 citations · 401 across the 20 of their papers we have counts for

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13 papers · 1 filter

cs.LO2020

On flat lossy channel machines

Philippe Schnoebelen

We show that reachability, repeated reachability, nontermination and unboundedness are NP-complete for Lossy Channel Machines that are flat, i.e., with no nested cycles in the cont…

cs.LO2019

The Ideal Approach to Computing Closed Subsets in Well-Quasi-Ordering

Jean Goubault-Larrecq, Simon Halfon, Prateek Karandikar +2

Elegant and general algorithms for handling upwards-closed and downwards-closed subsets of WQOs can be developed using the filter-based and ideal-based representation for these set…

cs.LO2017

Decidability, Complexity, and Expressiveness of First-Order Logic Over the Subword Ordering

Simon Halfon, Philippe Schnoebelen, Georg Zetzsche

We consider first-order logic over the subword ordering on finite words, where each word is available as a constant. Our first result is that the theory is undecidable (alrea…

cs.LO2015★ 10 cited

The height of piecewise-testable languages and the complexity of the logic of subwords

Prateek Karandikar, Philippe Schnoebelen

The height of a piecewise-testable language is the maximum length of the words needed to define by excluding and requiring given subwords. The height of is an important…

cs.LO2015★ 5 cited

Decidability in the logic of subsequences and supersequences

Prateek Karandikar, Philippe Schnoebelen

We consider first-order logics of sequences ordered by the subsequence ordering, aka sequence embedding. We show that the Σ_2 theory is undecidable, answering a question left open…

cs.LO2014

On Reachability for Unidirectional Channel Systems Extended with Regular Tests

Jancar Petr, Prateek Karandikar, Philippe Schnoebelen

"Unidirectional channel systems" (Chambart & Schnoebelen, CONCUR 2008) are finite-state systems where one-way communication from a Sender to a Receiver goes via one reliable and on…

cs.LO2014★ 49 cited

The Power of Well-Structured Systems

Sylvain Schmitz, Philippe Schnoebelen

Well-structured systems, aka WSTSs, are computational models where the set of possible configurations is equipped with a well-quasi-ordering which is compatible with the transition…

cs.LO2013★ 30 cited

The Power of Priority Channel Systems

Christoph Haase, Sylvain Schmitz, Philippe Schnoebelen

We introduce Priority Channel Systems, a new class of channel systems where messages carry a numeric priority and where higher-priority messages can supersede lower-priority messag…

cs.LO2012★ 6 cited

Solving Stochastic Büchi Games on Infinite Arenas with a Finite Attractor

Nathalie Bertrand, Philippe Schnoebelen

We consider games played on an infinite probabilistic arena where the first player aims at satisfying generalized Büchi objectives almost surely, i.e., with probability one. We pro…

cs.LO2011★ 5 cited

Generalized Post Embedding Problems

Prateek Karandikar, Philippe Schnoebelen

The Regular Post Embedding Problem extended with partial (co)directness is shown decidable. This extends to universal and/or counting versions. It is also shown that combining dire…

cs.LO2011★ 60 cited

Multiply-Recursive Upper Bounds with Higman's Lemma

Sylvain Schmitz, Philippe Schnoebelen

We develop a new analysis for the length of controlled bad sequences in well-quasi-orderings based on Higman's Lemma. This leads to tight multiply-recursive upper bounds that readi…

cs.LO2010★ 107 cited

Ackermannian and Primitive-Recursive Bounds with Dickson's Lemma

Diego Figueira, Santiago Figueira, Sylvain Schmitz +1

Dickson's Lemma is a simple yet powerful tool widely used in termination proofs, especially when dealing with counters or related data structures. However, most computer scientists…

cs.LO2005★ 26 cited

Verifying nondeterministic probabilistic channel systems against -regular linear-time properties

Christel Baier, Nathalie Bertrand, Philippe Schnoebelen

Lossy channel systems (LCSs) are systems of finite state automata that communicate via unreliable unbounded fifo channels. In order to circumvent the undecidability of model checki…