We present a calculus that integrates equality handling by superposition into a free variable tableau calculus. We prove completeness of this calculus by an adaptation of the model generation [1, 15] technique commonly used for completeness proofs of resolution calculi. The calculi and the completeness proof are compared to earlier results of Degtyarev and Voronkov [7].

In global health, partnerships between practitioners and policy makers facilitate stakeholders in jointly addressing those issues that require multiple perspectives for developing, implementing, and evaluating plans, strategies, and programs. For family planning, costed implementation plans (CIPs) are developed through a strategic government-led consultative process that results in a detailed p...

Abstract Background: Lack of information transparency is one of the ethical risks in the field of e-commerce. The purpose of this study is to explain the model of information transparency in electronic auctions in the organization of collection and sale of proprietary property. Method: The present study was a qualitative-exploratory research and descriptive-survey research. The statistical po...

We present algorithms for uniication and anti-uniication in the Calculus of Constructions, where occurrences of free variables (the variables subject to in-stantiation) are restricted to higher-order patterns, a notion investigated for the simply-typed-calculus by Miller. Most general uniiers and least common anti-instances are shown to exist and are unique up to a simple equivalence. The uniic...

Cats are nice. (: : :) because cats never overlap. Abstract In this paper we discuss two approaches to adverbial quantiication, the so-called`bound variable approach' and thèsituation-based approach', and we address the suggestion that has been made in the literature that the latter reduces to the former as soon as the underlying structure of situations has been characterized at the required le...

We discuss an adaptation of the technique of saturation up to redundancy, as introduced by Bachmair and Ganzinger [1], to tableau and sequent calculi for classical first-order logic. This technique can be used to easily show the completeness of optimized calculi that contain destructive rules e.g. for simplification, rewriting with equalities, etc., which is not easily done with a standard Hint...

Human beings seem to be resilient and have a great capacity to overcome adverse circumstances. One apparent variable that may predict people’s emotional and physical health after a trauma is their general level of psychological well-being (McMillen, Smith, & Fisher, 1997). The current study explores the role of subjective vitality and the perception of stress as mediators between general life s...

For conditional probabilistic knowledge bases with conditionals based on propositional logic, the principle of maximum entropy (ME) is well-established, determining a unique model inductively completing the explicitly given knowledge. On the other hand, there is no general agreement on how to extend the ME principle to relational conditionals containing free variables. In this paper, we focus o...