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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
STACS
2007
Springer
13 years 10 months ago
Reachability in Unions of Commutative Rewriting Systems Is Decidable
We consider commutative string rewriting systems (Vector Addition Systems, Petri nets), i.e., string rewriting systems in which all pairs of letters commute. We are interested in r...
Mikolaj Bojanczyk, Piotr Hoffman
IPL
2010
80views more  IPL 2010»
13 years 2 months ago
The reachability problem for branching vector addition systems requires doubly-exponential space
Branching vector addition systems are an extension of vector addition systems where new reachable vectors may be obtained by summing two reachable vectors and adding an integral v...
Ranko Lazic
FSTTCS
2010
Springer
13 years 2 months ago
Place-Boundedness for Vector Addition Systems with one zero-test
Reachability and boundedness problems have been shown decidable for Vector Addition Systems with one zero-test. Surprisingly, place-boundedness remained open. We provide here a va...
Rémi Bonnet, Alain Finkel, Jérô...
LICS
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