Liste de problèmes NP-complets - Définition

Algèbre et théorie des nombres

Problèmes de divisibilité

Congruence quadratique · Incongruence simultanée · Divisibilité simultanée de polynômes linéaires · Comparative divisibility · Exponential expression divisibility · Non-divisibility of a product polynomial · Non-trivial greatest common divisor

Résolubilité d'équations

Quadratic diophantine equations · Algebraic equations over GF[2] · Root of modulus 1 · Number of roots for a product polynomial · Periodic solution recurrence relation

Divers

Permanent evaluation · Cosine product integration · Equilibrium point · Unification with commutative operators · Unification for finitely presented algebras · Integer expression membership

Théorie des automates et des langages formels

Théorie des automates

Finite state automaton inequivalence · Two-way finite state automaton non-emptiness · Linear bounded automaton acceptance · Quasi-realtime automaton acceptance · Non-erasing stack automaton acceptance · Finite state automata intersection · Reduction of incompletely specified automata · Minimum inferred finite state automaton

Langages formels

Regular expression inequivalence · Minimum inferred regular expression · Reynolds covering for context-free grammars · Covering for linear grammars · Structural inequivalence for linear grammars · Regular grammar inequivalence · Non-LR(K) context-free grammar · Etol grammar non-emptiness · Context-free programmed language membership · Quasi-real-time language membership · Etol language membership · Context-sensitive language membership · Tree transducer language membership

Logique

Logique propositionnelle

Problème SAT · Problème 3SAT · Not-all-equal 3SAT · One-in-three 3SAT · Maximum 3-Satisfiability · Generalized satisfiability · Satisfiability of boolean expressions · Non-tautology · Minimum disjunctive normal form · Truth-functionally complete connectives

Divers

Quantified boolean formulas · First order theory of equality · Modal logic S5-Satisfiability · Modal logic provability · Predicate logic without negation · Conjunctive satisfiability with functions and inequalities · Minimum axiom set · First order subsumption · Second order instantiation

Divers

Cyclic ordering · Non-liveness of free choice Petri nets · Reachability for 1-conservative Petri nets · Finite function generation · Permutation generation · Decoding of linear codes · Shapley-Shubik voting power · Clustering · Randomization test for matched pairs · Maximum likelihood ranking · Matrix domination · Matrix cover · Simply deviated disjunction · Decision tree · Minimum weight and/or graph solution · Fault detection in logic circuits · Fault detection in directed graphs · Fault detection with test points

Optimisation de programme

Génération de code

Register sufficiency · Feasible register assignment · Register sufficiency for loops · Code generation on a one-register machine · Code generation with unlimited registers · Code generation for parallel assignments · Code generation with address expressions · Code generation with unfixed variable locations · Ensemble computation · Microcode bit optimization

Programmes et schémas

Inequivalence of programs with arrays · Inequivalence of programs with assignments · Inequivalence of finite memory programs · Inequivalence of loop programs without nesting · Inequivalence of simple functions · Strong inequivalence of Ianov schemes · Strong inequivalence for monadic recursion · Non-containment for free B-schemes · Non-freedom for loop-free program schemes · Programs with formally recursive procedures