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CC
2007
Springer
158views System Software» more  CC 2007»
13 years 4 months ago
The Complexity of Membership Problems for Circuits Over Sets of Natural Numbers
Abstract. The problem of testing membership in the subset of the natural numbers produced at the output gate of a {∪, ∩,− , +, ×} combinational circuit is shown to capture a...
Pierre McKenzie, Klaus W. Wagner
CSR
2007
Springer
13 years 10 months ago
Equivalence Problems for Circuits over Sets of Natural Numbers
We investigate the complexity of equivalence problems for {∪, ∩, − , +, ×}-circuits computing sets of natural numbers. These problems were first introduced by Stockmeyer an...
Christian Glaßer, Katrin Herr, Christian Rei...
TCS
1998
13 years 4 months ago
Threshold Dominating Sets and an Improved Characterization of W[2]
The Threshold Dominating Set problem is that of determining for a graph G = (V, E) whether there is a subset V ⊆ V of size k, such that for each vertex v ∈ V there are at leas...
Rodney G. Downey, Michael R. Fellows
LICS
1994
IEEE
13 years 8 months ago
On the Parallel Complexity of Model Checking in the Modal Mu-Calculus
The modal mu-calculus is an expressive logic that can be used to specify safety and liveness properties of concurrent systems represented as labeled transition systems (LTSs). We ...
Shipei Zhang, Oleg Sokolsky, Scott A. Smolka
LICS
1999
IEEE
13 years 8 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis