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Electronic Colloquium on Computational Complexity

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Reports tagged with model checking:
TR01-051 | 4th May 2001
Sophie Laplante, Richard Lassaigne, Frederic Magniez, Sylvain Peyronnet, Michel de Rougemont

Probabilistic abstraction for model checking: An approach based on property testing

Revisions: 1

In model checking, program correctness on all inputs is verified
by considering the transition system underlying a given program.
In practice, the system can be intractably large.
In property testing, a property of a single input is verified
by looking at a small subset of that input.
We ... more >>>

TR08-028 | 5th December 2007
Michael Bauland, Martin Mundhenk, Thomas Schneider, Henning Schnoor, Ilka Schnoor, Heribert Vollmer

The Tractability of Model-Checking for LTL: The Good, the Bad, and the Ugly Fragments

In a seminal paper from 1985, Sistla and Clarke showed
that the model-checking problem for Linear Temporal Logic (LTL) is either NP-complete
or PSPACE-complete, depending on the set of temporal operators used.
If, in contrast, the set of propositional operators is restricted, the complexity may decrease.
... more >>>

TR16-053 | 6th April 2016
Jiawei Gao, Russell Impagliazzo

Orthogonal Vectors is hard for first-order properties on sparse graphs

Revisions: 3

Fine-grained reductions, introduced by Vassilevska-Williams and Williams, preserve any improvement in the known algorithms. These have been used very successfully in relating the exact complexities of a wide range of problems, from NP-complete problems like SAT to important quadratic time solvable problems within P such as Edit Distance. However, until ... more >>>

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