The even more liberalized δ-rule in free variable Semantic Tableaux

This study entitled "Analysis of Effect of Climate Organization and Competence Againt Employee PT. Hutama Karya ". The purpose of this study was to obtain information on the relationship between the free variable that organizational climate (X1) and competence (X2) with the dependent variable is employee performance (Y), either partially or simultaneously, This study used survey research methods with the correlational approach and predictive, which aims for the relationship and influence between independent and dependent variables. The sampling technique can be done randomly (simple random sampling) of 852 employees, which is considered to resprentatif is 89 people. And to solve problems, to analyze and examine the relationship and influence between the independent variables on the dependent variable used models kausalistik through regression analysis with SPSS 14.0

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Higher-order Recursion Schemes and Collapsible Pushdown Automata: Logical Properties

ACM Transactions on Computational Logic ◽

10.1145/3452917 ◽

2021 ◽

Vol 22 (2) ◽

pp. 1-37

Author(s):

Christopher H. Broadbent ◽

Arnaud Carayol ◽

C.-H. Luke Ong ◽

Olivier Serre

Keyword(s):

Model Checking ◽

Free Variable ◽

Higher Order ◽

Second Order ◽

Effective Solution ◽

Parity Games ◽

Transition Graphs ◽

Second Order Logic ◽

Pushdown Automata ◽

Monadic Second Order Logic

This article studies the logical properties of a very general class of infinite ranked trees, namely, those generated by higher-order recursion schemes. We consider, for both monadic second-order logic and modal -calculus, three main problems: model-checking, logical reflection (a.k.a. global model-checking, that asks for a finite description of the set of elements for which a formula holds), and selection (that asks, if exists, for some finite description of a set of elements for which an MSO formula with a second-order free variable holds). For each of these problems, we provide an effective solution. This is obtained, thanks to a known connection between higher-order recursion schemes and collapsible pushdown automata and on previous work regarding parity games played on transition graphs of collapsible pushdown automata.

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ON THE UNIFORM CONVERGENCE OF DECONVOLUTION ESTIMATORS FROM REPEATED MEASUREMENTS

Econometric Theory ◽

10.1017/s0266466620000572 ◽

2021 ◽

pp. 1-22

Author(s):

Daisuke Kurisu ◽

Taisuke Otsu

Keyword(s):

Multivariate Analysis ◽

Measurement Error ◽

Uniform Convergence ◽

Measurement Errors ◽

Convergence Rates ◽

Free Variable ◽

Error Model ◽

Repeated Measurements ◽

Empirical Characteristic Function ◽

Measurement Error Model

This paper studies the uniform convergence rates of Li and Vuong’s (1998, Journal of Multivariate Analysis 65, 139–165; hereafter LV) nonparametric deconvolution estimator and its regularized version by Comte and Kappus (2015, Journal of Multivariate Analysis 140, 31–46) for the classical measurement error model, where repeated noisy measurements on the error-free variable of interest are available. In contrast to LV, our assumptions allow unbounded supports for the error-free variable and measurement errors. Compared to Bonhomme and Robin (2010, Review of Economic Studies 77, 491–533) specialized to the measurement error model, our assumptions do not require existence of the moment generating functions of the square and product of repeated measurements. Furthermore, by utilizing a maximal inequality for the multivariate normalized empirical characteristic function process, we derive uniform convergence rates that are faster than the ones derived in these papers under such weaker conditions.

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An algebraic study of Diodorean modal systems

Journal of Symbolic Logic ◽

10.2307/2270582 ◽

1965 ◽

Vol 30 (1) ◽

pp. 58-64 ◽

Cited By ~ 20

Author(s):

R. A. Bull

Keyword(s):

Discrete Time ◽

Decision Procedure ◽

John Locke ◽

Original Model ◽

Completeness Proof ◽

Semantic Tableaux ◽

Algebraic Treatment ◽

Algebraic Result ◽

Modal Systems

Attention was directed to modal systems in which ‘necessarily α’ is interpreted as ‘α. is and always will be the case’ by Prior in his John Locke Lectures of 1956. The present paper shows that S4.3, the extension of S4 withALCLpLqLCLqLp,is complete with respect to this interpretation when time is taken to be continuous, and that D, the extension of S4.3 withALNLpLCLCLCpLpLpLp,is complete with respect to this interpretation when time is taken to be discrete. The method employed depends upon the application of an algebraic result of Garrett Birkhoff's to the models for these systems, in the sense of Tarski.A considerable amount of work on S4.3 and D precedes this paper. The original model with discrete time is given in Prior's [7] (p. 23, but note the correction in [8]); that taking time to be continuous yields a weaker system is pointed out by him in [9]. S4.3 and D are studied in [3] of Dummett and Lemmon, where it is shown that D includes S4.3 andCLCLCpLpLpCMLpLp.While in Oxford in 1963, Kripke proved that these were in fact sufficient for D, using semantic tableaux. A decision procedure for S4.3, using Birkhoff's result, is given in my [2]. Dummett conjectured, in a conversation, that taking time to be continuous yielded S4.3. Thus the originality of this paper lies in giving a suitable completeness proof for S4.3, and in the unified algebraic treatment of the systems. It should be emphasised that the credit for first axiomatising D belongs to Kripke.

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