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2009
IEEE
13 years 11 months ago
The General Vector Addition System Reachability Problem by Presburger Inductive Invariants
The reachability problem for Vector Addition Systems (VASs) is a central problem of net theory. The general problem is known decidable by algorithms exclusively based on the class...
Jérôme Leroux
RP
2010
Springer
150views Control Systems» more  RP 2010»
13 years 2 months ago
Rewriting Systems for Reachability in Vector Addition Systems with Pairs
We adapt hypergraph rewriting system to a generalization of Vector Addition Systems with States (VASS) that we call vector addition systems with pairs (VASP). We give rewriting sys...
Paulin Jacobé de Naurois, Virgile Mogbil
ICALP
2010
Springer
13 years 9 months ago
Reachability Games on Extended Vector Addition Systems with States
We consider two-player turn-based games with zero-reachability and zero-safety objectives generated by extended vector addition systems with states. Although the problem of decidin...
Tomás Brázdil, Petr Jancar, Anton&ia...
NC
2010
159views Neural Networks» more  NC 2010»
13 years 2 months ago
Automata and processes on multisets of communicating objects
Abstract. Inspired by P systems initiated by Gheorghe P˜aun, we study a computation model over a multiset of communicating objects. The objects in our model are instances of fini...
Linmin Yang, Yong Wang, Zhe Dang
CAV
2008
Springer
158views Hardware» more  CAV 2008»
13 years 6 months ago
Linear Arithmetic with Stars
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Ruzica Piskac, Viktor Kuncak