Indicative propositions.
Purdea, Ioan, Both, Nicolae (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
L. Kirby, K. McAllon, R. Murawski (1981)
Fundamenta Mathematicae
C. Ward Henson, Pavol Zlatoš (1996)
Commentationes Mathematicae Universitatis Carolinae
This is a contribution to the theory of topological vector spaces within the framework of the alternative set theory. Using indiscernibles we will show that every infinite set in a biequivalence vector space , such that for distinct , contains an infinite independent subset. Consequently, a class is dimensionally compact iff the -equivalence is compact on . This solves a problem from the paper [NPZ 1992] by J. Náter, P. Pulmann and the second author.
Antonín Sochor, Alena Vencovská (1981)
Commentationes Mathematicae Universitatis Carolinae
Jan Štěpán (1989)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Ivan Chajda, Miroslav Haviar (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Deepak Kapur, Jürgen Giesl, Mahadevan Subramaniam (2004)
RACSAM
Mechanization of inductive reasoning is an exciting research area in artificial intelligence and automated reasoning with many challenges. An overview of our work on mechanizing inductive reasoning based on the cover set method for generating induction schemes from terminating recursive function definitions and using decision procedures is presented. This paper particularly focuses on the recent work on integrating induction into decision procedures without compromising their automation.
Urs Oswald (1981)
Archiv für mathematische Logik und Grundlagenforschung
Sudoplatov, S.V. (2003)
Sibirskij Matematicheskij Zhurnal
Eugénie Foustoucos, Irène Guessarian (2009)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Inf-Datalog extends the usual least fixpoint semantics of Datalog with greatest fixpoint semantics: we defined inf-Datalog and characterized the expressive power of various fragments of inf-Datalog in [16]. In the present paper, we study the complexity of query evaluation on finite models for (various fragments of) inf-Datalog. We deduce a unified and elementary proof that global model-checking (i.e. computing all nodes satisfying a formula in a given structure) has 1. quadratic data complexity...
Eugénie Foustoucos, Irène Guessarian (2007)
RAIRO - Theoretical Informatics and Applications
Inf-Datalog extends the usual least fixpoint semantics of Datalog with greatest fixpoint semantics: we defined inf-Datalog and characterized the expressive power of various fragments of inf-Datalog in [CITE]. In the present paper, we study the complexity of query evaluation on finite models for (various fragments of) inf-Datalog. We deduce a unified and elementary proof that global model-checking (i.e. computing all nodes satisfying a formula in a given structure) has 1. quadratic data complexity...
Johan van Benthem (2007)
Publications de l'Institut Mathématique
Niki Pfeifer, Gernot D. Kleiter (2006)
Kybernetika
An important field of probability logic is the investigation of inference rules that propagate point probabilities or, more generally, interval probabilities from premises to conclusions. Conditional probability logic (CPL) interprets the common sense expressions of the form “if ..., then ...” by conditional probabilities and not by the probability of the material implication. An inference rule is probabilistically informative if the coherent probability interval of its conclusion is not necessarily...
Jiří Ivánek, Josef Švenda, Jan Ferjenčík (1989)
Kybernetika
Kiyatkin, V.R. (2000)
Siberian Mathematical Journal
Paul Eklof (1974)
Fundamenta Mathematicae
D. Vaggione (2008)
Mathware and Soft Computing
Paul Eklof, Allan Mekler (1981)
Fundamenta Mathematicae
G. Grätzer, S. Whitney (1984)
Colloquium Mathematicae
Christian Rosendal (2009)
Annales de l’institut Fourier
We study infinite asymptotic games in Banach spaces with a finite-dimensional decomposition (F.D.D.) and prove that analytic games are determined by characterising precisely the conditions for the players to have winning strategies. These results are applied to characterise spaces embeddable into sums of finite dimensional spaces, extending results of Odell and Schlumprecht, and to study various notions of homogeneity of bases and Banach spaces. The results are related to questions of rapidity...