This work investigates the quantifier elimination problem in real closed fieldswith respect to the application in description logics. The motivation for theinvestigation in this topic is mainly based on the demand for an extension ofdescription logic systems to support a default concrete domain for non-linearmultivariate equations and inequations. The authors provide a literatureoverview that summarizes main mathematical tools for checking whether aset of non-linear multivariate (in-)equatins is satisfiable (quantifier eliminationproblem). The authors shortly describe how application examples are handledwith a prototype implementation.
Quantifier Elimination over Real Closed Fields- Mathematical Basis, Solution Techniques, Practical Integrations
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This work investigates the quantifier elimination problem in real closed fieldswith respect to the application in description logics. The motivation for theinvestigation in this topic is mainly based on the demand for an extension ofdescription logic systems to support a default concrete domain for non-linearmultivariate equations and inequations. The authors provide a literatureoverview that summarizes main mathematical tools for checking whether aset of non-linear multivariate (in-)equatins is satisfiable (quantifier eliminationproblem). The authors shortly describe how application examples are handledwith a prototype implementation.
In recent years there has been an increasing use of logical methods and significant new developments have been spawned in several areas of computer science, ranging from artificial intelligence and...
Pseudodifferential Operators Over the Real Field.- Wavelets Over the Real Field.- p-adic Mathematical Analysis.- Pseudodifferential Operators Over p-adic Fields.- Wavelets on p-adic Fields.
This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology and even the history...
The user This manual is designed for the use of geo-scientists with an interest and need in developing palaeobiological materials as a potential source of data. To meet this objective practical...
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