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      A Formal Proof of Dickson’s Lemma in ACL2 

      Martín Mateos, Francisco Jesús; Alonso Jiménez, José Antonio; Hidalgo Doblado, María José; Ruiz Reina, José Luis (Springer, 2003)
      Dickson’s Lemma is the main result needed to prove the termination of Buchberger’s algorithm for computing Gr¨obner basis ...
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      Induction, minimization and collection for Δ n+1 (T)–formulas 

      Fernández Margarit, Alejandro; Lara Martín, Francisco Félix (Springer, 2004)
      For a theory T, we study relationships among IΔ n +1 (T), LΔ n+1 (T) and B * Δ n+1 (T). These theories are obtained ...
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      Modelos de computación celular con membranas 

      Pérez Jiménez, Mario de Jesús; Romero Jiménez, Álvaro; Sancho Caparrini, Fernando (SEMA, 2004)
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      On the quantifier complexity of Δ n+1 (T)– induction 

      Cordón Franco, Andrés; Fernández Margarit, Alejandro; Lara Martín, Francisco Félix (Springer, 2004)
      In this paper we continue the study of the theories IΔ n+1 (T), initiated in [7]. We focus on the quantifier complexity ...
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      Deductive databases and P systems 

      Rogozhin, Vladimir; Gutiérrez Naranjo, Miguel Ángel (2004)
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      Verification of the Formal Concept Analysis 

      Alonso Jiménez, José Antonio; Borrego Díaz, Joaquín; Hidalgo Doblado, María José; Martín Mateos, Francisco Jesús; Ruiz Reina, José Luis (Real Academia de Ciencias, 2004)
      This paper is concerned with a formal verification of the Formal Concept Analysis framework. We use the PVS system to ...
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      A Prolog Simulator for Deterministic P Systems with Active Membranes 

      Cordón Franco, Andrés; Gutiérrez Naranjo, Miguel Ángel; Pérez Jiménez, Mario de Jesús; Sancho Caparrini, Fernando (Springer, 2004)
      In this paper we propose a new way to represent P systems with active membranes based on Logic Programming techniques. ...
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      An Efficient Family of P Systems for Packing Items into Bins 

      Pérez Jiménez, Mario de Jesús; Romero Campero, Francisco José (Graz University of Technology, Institut für Informationssysteme und Computer Medie, 2004)
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      A Note on Complexity Measures for Probabilistic P Systems 

      Cordón Franco, Andrés; Sancho Caparrini, Fernando (J.UCS.org, 2004)
      In this paper we present a first approach to the definition of different entropy measures for probabilistic P systems in ...
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      Formal verification of a generic framework to synthesize SAT-provers 

      Martín Mateos, Francisco Jesús; Alonso Jiménez, José Antonio; Hidalgo Doblado, María José; Ruiz Reina, José Luis (Springer, 2004)
      We present in this paper an application of the ACL2 system to generate and reason about propositional satis ability ...
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      Symport/Antiport P Systems with Three Objects Are Universal 

      Paun, Gheorghe; Pazos, Juan; Pérez Jiménez, Mario de Jesús; Rodríguez Patón, Alfonso (IOS Press, 2005)
      The operations of symport and antiport, directly inspired from biology, are already known to be rather powerful when used ...
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      Fragments of Arithmetic and true sentences 

      Cordón Franco, Andrés; Fernández Margarit, Alejandro; Lara Martín, Francisco Félix (Wiley, 2005)
      By a theorem of R. Kaye, J. Paris and C. Dimitracopoulos, the class of the ¦n+1–sentences true in the standard model is ...
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      Tissue P systems with channel states 

      Freund, Rudolf; Paun, Gheorghe; Pérez Jiménez, Mario de Jesús (Elsevier, 2005)
      We consider tissue-like P systems with states associated with the links (we call them synapses) between cells, controlling ...
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      Solving the Subset-Sum Problem by P Systems with Active Membranes 

      Pérez Jiménez, Mario de Jesús; Riscos Núñez, Agustín (Springer, 2005)
      We present the first membrance computing solution to the Subset-Sum problem using a family of deterministic P systems with ...
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      A fast P system for finding a balanced 2-partition 

      Gutiérrez Naranjo, Miguel Ángel; Pérez Jiménez, Mario de Jesús; Riscos Núñez, Agustín (Springer, 2005)
      Numerical problems are not very frequently addressed in the P systems literature. In this paper we present an effective ...
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      Computational efficiency of dissolution rules in membrane systems 

      Gutiérrez Naranjo, Miguel Ángel; Pérez Jiménez, Mario de Jesús; Riscos Núñez, Agustín; Romero Campero, Francisco José (Taylor and Francis, 2006)
      Trading (in polynomial time) space for time in the framework of membrane systems is not sufficient to efficiently solve ...
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      Spike Trains in Spiking Neural P Systems 

      Paun, Gheorghe; Pérez Jiménez, Mario de Jesús; Rozenberg, Grzegorz (World Scientific, 2006)
      We continue here the study of the recently introduced spiking neural P systems, which mimic the way that neurons communicate ...
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      Computationally Hard Problems Addressed Through P Systems 

      Pérez Jiménez, Mario de Jesús; Romero Jiménez, Álvaro; Sancho Caparrini, Fernando (Springer, 2006)
      In this chapter we present a general framework to provide efficient solutions to decision problems through families of ...
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      Available Membrane Computing Software 

      Gutiérrez Naranjo, Miguel Ángel; Pérez Jiménez, Mario de Jesús; Riscos Núñez, Agustín (Springer, 2006)
      The simulation of a P system with current computers is a quite com-plex task. P systems are intrinsically nondeterministic ...
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      Bounding the Indegree of Spiking Neural P Systems 

      Paun, Gheorghe; Pérez Jiménez, Mario de Jesús; Salomaa, Arto (Turku Center for Computer Science, 2006)
      We continue the search of normal forms for spiking neural P systems, and we prove that the indegree of such systems (the maximal number of incoming synapses of neurons) can be bounded by 2 without losing the computational completeness.