On the applicability of Post's lattice

@article{Thomas2010OnTA,
  title={On the applicability of Post's lattice},
  author={Michael Thomas},
  journal={Inf. Process. Lett.},
  year={2010},
  volume={112},
  pages={386-391}
}
  • Michael Thomas
  • Published 17 July 2010
  • Mathematics, Computer Science
  • Inf. Process. Lett.
View PDF on arXiv
9 Citations
Background Citations
4
Methods Citations
1

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9 Citations

Parameterized Complexity of Weighted Satisfiability Problems

All fragments obtained by semantically restricting circuits or formulae to contain only gates (connectives) from a fixed set B of Boolean functions are considered and a dichotomy result is obtained by showing that for each such B, the weighted satisfiability problems are either W[P]-complete or W[SAT]-complete (for circuits) or efficiently solvable.

Parameterized Complexity of Weighted Satisfiability Problems: Decision, Enumeration, Counting

All fragments obtained by semantically restricting circuits or formulae to contain only gates (connectives) from a fixed set B of Boolean functions are considered and a dichotomy result is obtained by showing that for each such B, the weighted satisfiability problems are either W[P]-complete or W[SAT]-complete (for circuits) or efficiently solvable.

Model Checking for Modal Dependence Logic: An Approach through Post's Lattice

An extended version of modal dependence logic by allowing arbitrary Boolean connectives is investigated and the computational complexity of the model checking problem is studied.

The Connectivity of Boolean Satisfiability: Dichotomies for Formulas and Circuits

Connectivity issues of satisfiability problems defined by Boolean circuits and propositional formulas that use gates, resp.

Complexity of non-monotonic logics

This survey considers a logical formalism from each of the above possibilities, namely Reiter's default logic, Moore's autoepistemic logic and McCarthy's circumscription, and describes complexity results for fragments of logical languages obtained by restricting the allowed set of operators.

Connectivity of Boolean satisfiability

A computational dichotomy is proved for the st-connectivity problem, asserting that it is either solvable in polynomial time or PSPACE-complete, and an aligned structural dichotomy for the connectivity problem is proved, asserting the maximal diameter of connected components is either linear in the number of variables, or can be exponential.

Complexity of Model Checking for Logics over Kripke models

In their excellent and detailed survey, the authors bring out the intricate structures involved in the reductions and the effectiveness of standard complexity classes in capturing the complexity of model checking.

T C C C C  N-m L

Michael Thomas and Heribert Vollmer survey in this excellent column recent complexity results for fragments of languages of non-monotonic logics.

Masterarbeit Complexity of Parameterized Counting Anselm Haak Matr

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