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Dense Counter Machines and Verification Problems  (Make Corrections)  
Gaoyan Xie, Zhe Dang, Oscar H. Ibarra, Pierluigi San Pietro



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Abstract: We generalize the traditional definition of a multicounter machine (where the counters, which can only assume nonnegative integer values, can be incremented/decremented by 1 and tested for zero) by allowing the machine the additional ability to increment/decrement the counters by a nondeterministically chosen fractional amount between 0 and 1 (the may be different at each step). We show that, under some restrictions on counter behavior, the binary reachability set of such a machine is... (Update)

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BibTeX entry:   (Update)

@misc{ xie-dense,
  author = "Gaoyan Xie and Zhe Dang and Oscar H. Ibarra and Pierluigi San Pietro",
  title = "Dense Counter Machines and Verification Problems",
  url = "citeseer.ist.psu.edu/678714.html" }
Citations (may not include all citations):
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43   Recursive unsolvability of Post's problem of Tag and other t.. (context) - Minsky - 1961
37   Timed automata and the theory of real numbers - Comon, Jurski - 1999
36   Computing accumulated delays in real-time systems - Alur, Courcoubetis et al. - 1997
30   Binary reachability analysis of discrete pushdown timed auto.. - Dang, Ibarra et al. - 2000
24   safety analysis and Presburger arithmetic (context) - Comon, Jurski et al. - 1998
20   the expressiveness of real and integer arithmetic automata - Boigelot, Rassart et al. - 1998
19   A decompositional approach for computing least fixed-points .. - Fribourg, Olsen - 1997
18   New decidability results concerning two-way counter machines (context) - Ibarra, Jiang et al. - 1995
16   On Presburger Liveness of Discrete Timed Automata - Dang, Pietro et al. - 2001
8   As cheap as possible: Efficient cost-optimal reachability fo.. - Larsen, Behrmann et al. - 2001
3   the emptiness problems for two-way nondeterministic finite a.. (context) - Dang, Ibarra et al. - 2002
1   chains for transitive mixed linear realtions and its applica.. (context) - Dang, Ibarra et al. - 2002

Documents on the same site (http://www.eecs.wsu.edu/~zdang/index.html):   More
Binary Reachability Analysis of Pushdown Timed Automata with Dense .. - Dang   (Correct)
On Presburger Liveness of Discrete Timed Automata - Dang, Pietro, Kemmerer (2001)   (Correct)
Decidable Approximations on Generalized and Parameterized .. - Dang, Ibarra, Kemmerer   (Correct)

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