The Complexity of First-Order and Monadic Second-Order Logic Revisited

  title={The Complexity of First-Order and Monadic Second-Order Logic Revisited},
  author={Markus Frick and Martin Grohe},
The model-checking problem for a logic L on a class C of structures asks whether a given L-sentence holds in a given structure in C. In this paper, we give super-exponential lower bounds for fixed-parameter tractable model-checking problems for first-order and monadic second-order logic. We show that unless PTIME= NP, the model-checking problem for monadic second-order logic on finite words is not solvable in time f(k) · p(n), for anyelementaryfunction f and any polynomial p. Herek denotes the… CONTINUE READING


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Fixed Parameter Tractability and Completeness

Complexity Theory: Current Research • 1992
View 10 Excerpts
Highly Influenced

Parameterized Complexity

Monographs in Computer Science • 1999
View 11 Excerpts
Highly Influenced

Graph Rewriting: An Algebraic and Logic Approach

Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics • 1990
View 3 Excerpts
Highly Influenced

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