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2000
Springer
15 years 8 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
JAIR
2007
120views more  JAIR 2007»
15 years 4 months ago
An Algebraic Graphical Model for Decision with Uncertainties, Feasibilities, and Utilities
Numerous formalisms and dedicated algorithms have been designed in the last decades to model and solve decision making problems. Some formalisms, such as constraint networks, can ...
Cédric Pralet, Gérard Verfaillie, Th...
DLOG
2010
15 years 2 months ago
Optimizing Algebraic Tableau Reasoning for SHOQ: First Experimental Results
In this paper we outline an algebraic tableau algorithm for the DL SHOQ, which supports more informed reasoning due to the use of semantic partitioning and integer programming. We ...
Jocelyne Faddoul, Volker Haarslev
CONCUR
1998
Springer
15 years 8 months ago
Algebraic Techniques for Timed Systems
Performance evaluation is a central issue in the design of complex real-time systems. In this work, we propose an extension of socalled "Max-Plus" algebraic techniques to...
Albert Benveniste, Claude Jard, Stephane Gaubert
SIGMOD
1996
ACM
132views Database» more  SIGMOD 1996»
15 years 8 months ago
Cost-Based Optimization for Magic: Algebra and Implementation
Magic sets rewriting is a well-known optimization heuristic for complex decision-support queries. There can be many variants of this rewriting even for a single query, which diffe...
Praveen Seshadri, Joseph M. Hellerstein, Hamid Pir...