PPL

Possibly not closed convex polyhedra and the Parma Polyhedra Library. The domain of convex polyhedra is employed in several systems for the analysis and verification of hardware and software components. Current applications span imperative, functional and logic languages, synchronous languages and synchronization protocols, real-time and hybrid systems. Since the seminal work of P. Cousot and N. Halbwachs, convex polyhedra have thus played an important role in the formal methods community and several critical tasks rely on their software implementations. Despite this, existing libraries for the manipulation of convex polyhedra are still research prototypes and suffer from limitations that make their usage problematic, especially in critical applications. Furthermore, there is inadequate support for polyhedra that are Not Necessarily Closed (NNC), i.e., polyhedra that are described by systems of constraints where strict inequalities are allowed to occur. This paper presents the Parma Polyhedra Library, a new, robust and complete implementation of NNC convex polyhedra, concentrating on the distinctive features of the library and on the novel theoretical underpinnings. (Source: http://freecode.com/)


References in zbMATH (referenced in 85 articles , 1 standard article )

Showing results 1 to 20 of 85.
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  1. Hampe, Simon; Joswig, Michael; Schröter, Benjamin: Algorithms for tight spans and tropical linear spaces (2019)
  2. Avis, David; Jordan, Charles: mplrs: a scalable parallel vertex/facet enumeration code (2018)
  3. Bezděk, Peter; Beneš, Nikola; Černá, Ivana; Barnat, Jiří: On clock-aware LTL parameter synthesis of timed automata (2018)
  4. Boutonnet, Rémy; Halbwachs, Nicolas: Improving the results of program analysis by abstract interpretation beyond the decreasing sequence (2018)
  5. De Angelis, Emanuele; Fioravanti, Fabio; Pettorossi, Alberto; Proietti, Maurizio: Solving Horn clauses on inductive data types without induction (2018)
  6. Doyen, Laurent; Frehse, Goran; Pappas, George J.; Platzer, André: Verification of hybrid systems (2018)
  7. Jovanović, Aleksandra; Kwiatkowska, Marta: Parameter synthesis for probabilistic timed automata using stochastic game abstractions (2018)
  8. Kafle, Bishoksan; Gallagher, John P.; Gange, Graeme; Schachte, Peter; Søndergaard, Harald; Stuckey, Peter J.: An iterative approach to precondition inference using constrained Horn clauses (2018)
  9. Kafle, Bishoksan; Gallagher, John P.; Ganty, Pierre: Tree dimension in verification of constrained Horn clauses (2018)
  10. Majumdar, Rupak; Raskin, Jean-François: Symbolic model checking in non-Boolean domains (2018)
  11. Zolotykh, Nikolaĭ Yur’evich; Kubarev, Valentin Konstantinovich; Lyalin, Sergeĭ Sergeevich: Double description method over the field of algebraic numbers (2018)
  12. Anders Jensen, Jeff Sommars, Jan Verschelde: Computing Tropical Prevarieties in Parallel (2017) arXiv
  13. Assarf, Benjamin; Gawrilow, Ewgenij; Herr, Katrin; Joswig, Michael; Lorenz, Benjamin; Paffenholz, Andreas; Rehn, Thomas: Computing convex hulls and counting integer points with polymake (2017)
  14. Benerecetti, Massimo; Faella, Marco: Tracking smooth trajectories in linear hybrid systems (2017)
  15. Firsching, Moritz: Realizability and inscribability for simplicial polytopes via nonlinear optimization (2017)
  16. Jovanović, Aleksandra; Kwiatkowska, Marta; Norman, Gethin; Peyras, Quentin: Symbolic optimal expected time reachability computation and controller synthesis for probabilistic timed automata (2017)
  17. Kafle, Bishoksan; Gallagher, John P.: Horn clause verification with convex polyhedral abstraction and tree automata-based refinement (2017)
  18. Köppe, Matthias; Zhou, Yuan: New computer-based search strategies for extreme functions of the Gomory-Johnson infinite group problem (2017)
  19. Rodríguez, Margarita M. L.; Vicente-Pérez, José: On finite linear systems containing strict inequalities (2017)
  20. Sharma, Tushar; Reps, Thomas: Sound bit-precise numerical domains (2017)

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Further publications can be found at: http://bugseng.com/products/ppl/documentation/bibliography