4 resultados para Matematica - Formulas

em Brock University, Canada


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With the recent growth in cultural complexity, many organizations are faced with increasingly diverse employee pools. Gaining a greater understanding of the values that employees possess is the first step in effectively satisfying their needs and achieving a more productive workforce (lung & Avolio, 2000). Values playa significant role in influencing individual behaviours. It is therefore necessary to assess the qualities of employee value systems and directly link them to the values of the organization. The importance of values and value congruence has been emphasized by many organizational behaviour researchers (cf. Adkins & Caldwell, 2004; Erdogan, Kraimer, & Liden, 2004; Jung & Avolio, 2000; Rokeach, 1973); however the emphasis on value studies remains fairly stagnant within the sport industry (Amis, Slack, & Hinings, 2002). In order to examine the realities that were constructed by the participants in this study a holistic view of the impact of values within a specific sport organization were provided. The purpose of this case study was to examine organizational and employee values to understand the effects of values and value congruence on employee behaviours within the context of a large Canadian sport organization. A mUltiple methods case study approach was adopted in order to fully serve the purpose and provide a comprehensive view of the organization being examined. Document analysis, observations, surveys, as well as semi-structured interviews were conducted. The process allowed for triangulation and confirmability of the findings. Each method functioned to create an overarching understanding of the values and value congruence within this organization. The analysis of the findings was divided into qualitative and quantitative sections. The qualitative documents were analyzed twice, once manually by the researcher and once via AtIas.ti Version 4 (1998). The a priori and emergent coding that took place was based on triangulating the findings and uncovering common themes throughout the data. The Rokeach Value Survey (1973) that was incorporated into the survey design of the study was analyzed using descriptive statistics, as well as Mann-Whitney U, and Kruskal Wallis formulas. These were deemed appropriate for analysis given the non-parametric nature of the survey instrument (Kinnear & Gray, 2004). The quantitative survey served to help define the values and value congruence that was then holistically examined through the qualitative interviews, document analyses, and observations. The results of the study indicated incongruent value levels between employees and those stated or perceived as the organization's values. Each finding demonstrated that varying levels of congruence may have diverse affects on individual behaviours. These behaviours range from production levels to interactions with fellow employees to turnover. In addition to the findings pertaining to the research questions, a number of other key issues were uncovered regarding departmentalization, communication, and board relations. Each has contributed to a greater understanding of the organization and has created direction for further research within this area of study.

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RelAPS is an interactive system assisting in proving relation-algebraic theorems. The aim of the system is to provide an environment where a user can perform a relation-algebraic proof similar to doing it using pencil and paper. The previous version of RelAPS accepts only Horn-formulas. To extend the system to first order logic, we have defined and implemented a new language based on theory of allegories as well as a new calculus. The language has two different kinds of terms; object terms and relational terms, where object terms are built from object constant symbols and object variables, and relational terms from typed relational constant symbols, typed relational variables, typed operation symbols and the regular operations available in any allegory. The calculus is a mixture of natural deduction and the sequent calculus. It is formulated in a sequent style but with exactly one formula on the right-hand side. We have shown soundness and completeness of this new logic which verifies that the underlying proof system of RelAPS is working correctly.

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Dynamic logic is an extension of modal logic originally intended for reasoning about computer programs. The method of proving correctness of properties of a computer program using the well-known Hoare Logic can be implemented by utilizing the robustness of dynamic logic. For a very broad range of languages and applications in program veri cation, a theorem prover named KIV (Karlsruhe Interactive Veri er) Theorem Prover has already been developed. But a high degree of automation and its complexity make it di cult to use it for educational purposes. My research work is motivated towards the design and implementation of a similar interactive theorem prover with educational use as its main design criteria. As the key purpose of this system is to serve as an educational tool, it is a self-explanatory system that explains every step of creating a derivation, i.e., proving a theorem. This deductive system is implemented in the platform-independent programming language Java. In addition, a very popular combination of a lexical analyzer generator, JFlex, and the parser generator BYacc/J for parsing formulas and programs has been used.

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If you want to know whether a property is true or not in a specific algebraic structure,you need to test that property on the given structure. This can be done by hand, which can be cumbersome and erroneous. In addition, the time consumed in testing depends on the size of the structure where the property is applied. We present an implementation of a system for finding counterexamples and testing properties of models of first-order theories. This system is supposed to provide a convenient and paperless environment for researchers and students investigating or studying such models and algebraic structures in particular. To implement a first-order theory in the system, a suitable first-order language.( and some axioms are required. The components of a language are given by a collection of variables, a set of predicate symbols, and a set of operation symbols. Variables and operation symbols are used to build terms. Terms, predicate symbols, and the usual logical connectives are used to build formulas. A first-order theory now consists of a language together with a set of closed formulas, i.e. formulas without free occurrences of variables. The set of formulas is also called the axioms of the theory. The system uses several different formats to allow the user to specify languages, to define axioms and theories and to create models. Besides the obvious operations and tests on these structures, we have introduced the notion of a functor between classes of models in order to generate more co~plex models from given ones automatically. As an example, we will use the system to create several lattices structures starting from a model of the theory of pre-orders.