A theory of diagnosis from first principles
Artificial Intelligence
Artificial Intelligence
Sperner theory
Reasoning with minimal models: efficient algorithms and applications
Artificial Intelligence
Stable Model Checking Made Easy
IJCAI '99 Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence
The complexity of minimal satisfiability problems
Information and Computation
An incremental algorithm for generating all minimal models
Artificial Intelligence
The Quadrupel --A Model for Automating Intermediary Selection in Supply Chain Management
Proceedings of the 2011 conference on Information Modelling and Knowledge Bases XXII
On the tractability of minimal model computation for some CNF theories
Artificial Intelligence
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The problem of computing X-minimal models, that is, models minimal with respect to a subset X of all the atoms in a theory, is relevant for many tasks in Artificial Intelligence. Unfortunately, the problem is NP-hard. In this paper we present a non-trivial upper bound for the task of computing all X-minimal models: we show that all the X-minimal models of a propositional theory 𝒯 can be found in time time-ord-mod(𝒯)+O(#DMinModX(𝒯)n$$, where time-ord-mod(𝒯) is the time it takes to find all the models of 𝒯 in a particular order, #DMinModX(𝒯) is the number of different X-minimal models of T, and |X|=n. Part of this work was done while the author was a visiting scholar in the division of engineering and applied sciences, Harvard university, Cambridge, MA.