Treffer: Unprovability of the logical characterization of bisimulation
Title:
Unprovability of the logical characterization of bisimulation
Authors:
Source:
Information and computation (Print). 209(7):1048-1056
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 19 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Logique mathématique, fondements, théorie des ensembles, Mathematical logic, foundations, set theory, Logique et fondements, Logic and foundations, Logique générale, General logic, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Divers, Miscellaneous, Article synthèse, Review, Artículo síntesis, Bisimulation, Bisimulación, Contre exemple, Counterexample, Contraejemplo, Espace état, State space, Espacio estado, Informatique théorique, Computer theory, Informática teórica, Logique modale, Modal logic, Lógica modal, Mathématiques, Mathematics, Matemáticas, Méthode espace état, State space method, Método espacio estado, Preuve, Proof, Prueba, Processus Markov, Markov process, Proceso Markov, Processus stationnaire, Stationary process, Proceso estacionario, Projection, Proyección, 03B45, 32XX, 58A25, Bisimilarité, Logique Hennessy Milner, Labelled Markov process, Nonmeasurable set, Probabilistic bisimulation
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
CIEM-Fa.M.A.F. Universidad Nacional de Córdoba, Ciudad Universitaria, (5000) Córdoba, Argentina
ISSN:
0890-5401
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.24340783
Database:
PASCAL Archive
Weitere Informationen
We quickly review labelled Markov processes (LMP) and provide a counterexample showing that in general measurable spaces, event bisimilarity and state bisimilarity differ in LMP. This shows that the Hennessy-Milner logic proposed by Desharnais does not characterize state bisimulation in non-analytic measurable spaces. Furthermore we show that, under current foundations of Mathematics, such logical characterization is unprovable for spaces that are projections of a coanalytic set. Underlying this construction there is a proof that stationary Markov processes over general measurable spaces do not have semi-pullbacks.