A notation for probabilities is proposed that differs from the traditional, conventional notation by making explicit the domains and bound variables involved. The notation borrows from the Z notation, and lends itself well to calculational manipulations, with a smooth transition back and forth to set and predicate notation.

Away is found to add axioms to sequent calculi that maintains the eliminability of cut, through the representation of axioms as rules of inference of a suitable form. By this method, the structural analysis of proofs is extended from pure logic to free-variable theories, covering all classical theories, and a wide class of constructive theories. All results are proved for systems in which also ...

In this paper we propose higher-order rewrite systems without bound variables. In order to prove their connuence under the assumption of orthogonality, we study a simple proof method which employs a characterization of the diamond property of a parallel reduction. By an application of the proof method, we obtain a new connuence result for orthogonal higher-order conditional rewrite systems.

Every theory we will consider will be in a language that has a name ṅ for each n ∈ ω. For example, the name for 2 ∈ ω in the language LΩ of arithmetic is the term “1 + 1”. The results stated will only apply to countable languages. This requirement is implicit in the hypothesis of the existence of an enumeration of all formulas with one free variable, for example. We also assume that formulas an...

In this paper, we introduce a new fragment of the rst-order temporal language, called the monodic fragment, in which all formulas beginning with a temporal operator (Since or Until) have at most one free variable. We show that the satissability problem for monodic formulas in various linear time structures can be reduced to the satissability problem for a certain fragment of classical rst-order...

TRIAL DESIGN: To compare the difference in pain score during flexible cystoscopy between patients undergoing the procedure with plain lubricating gel  only and plain gel with diclofenac suppository in a randomized control trial. METHODS:  A total of 60 male patients with an indication of flexible cystoscopy were enrolled in a prospective, randomized controlled study. Patients were randomized in...

A recent class of factor demand models is discussed and used to analyze U.S. state-level production data. The approach accommodates output risk, heterogeneous technologies, technological change, endogenous variables, aggregation across agents, and more general flexible functional forms than previous models. We find the approach to flexibility found in the consumer literature empirically useful ...

An office ergonomics intervention incorporating a macroergonomics design approach was conducted to investigate the effects of a flexible workspace design and ergonomics training on musculoskeletal health, psychosocial environment and performance in a computer-based office setting. This longitudinal, field intervention study included three data collection periods (one preand two post-interventio...