We prove the correctness of a transformation from conditional rewrite systems (CTRS) into non conditional ones. This particular transformation has the advantage of expliciting all the possible parallelism in the evaluation of conditions. The main result states that this transformation applies to any CTRS, and that derivations are preserved up to a mapping between terms. We also prove that termi...

In recent years, effective sponsored search auctions (SSAs) have been designed to incentivize advertisers (advs) to bid their truthful valuations and, at the same time, to assure both the advs and the auctioneer a non–negative utility. Nonetheless, when the click–through–rates (CTRs) of the advs are unknown to the auction, these mechanisms must be paired with a learning algorithm for the estima...

This paper improves the existing criterion for proving confluence of a normal conditional term rewriting system (CTRS) via the Şerbănuţă-Roşu transformation, a computationally equivalent transformation of CTRSs into unconditional term rewriting systems (TRS), showing that a weakly left-linear normal CTRS is confluent if the transformed TRS is confluent. Then, we discuss usefulness of the optimi...

A conditional term rewriting system (CTRS) is called simplifying if there exists a simpliication ordering > on terms such that the left-hand side of any rewrite rule is greater than the right-hand side and the terms occurring in the conditions of that rule. If a simplifying join CTRS consists of nitely many rules, it is terminating and the applicability of a rewrite rule is decidable by recursi...

The Conners' Teacher Rating Scale-Revised (CTRS-R) is one of the most commonly used measures of child behavior problems. However, the scale length and the appropriateness of some of the items on the scale may reduce the usefulness of the CTRS-R for use with preschoolers. In this study, a Graded Response Model analysis based on Item Response Theory was applied to the CTRS-R data from 669 prescho...

We present a factor analytic study of the Conners Rating Scales for parents and teachers in this article. A comparison is established with the original factor analytic studies (Conners, 1979a, 1979b) and the results obtained by Farré-Riba and Narbona (1997), using a Spanish sample. Five hundred and forty children, ages 4 to 17, were randomly selected in Manizales, Colombia. The shortened Spanis...