Solving Geometric Problems with Real Quantifier Elimination
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چکیده
منابع مشابه
Recent Advances in Real Geometric Reasoning
In the 1930s Tarski showed that real quantifier elimination was possible, and in 1975 Collins gave a remotely practicable method, albeit with doubly-exponential complexity, which was later shown to be inherent. We discuss some of the recent major advances in Collins method: such as an alternative approach based on passing via the complexes, and advances which come closer to “solving the questio...
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where , the existential quantifier, denotes “there exists’’ and is the conjunction that denotes “and.’’ Notice that while both sides of the equivalence, , are in fact equivalent, the right hand side does not involve y, i.e., the variable y has been eliminated. In fact, the quantifier has been also eliminated; for this reason, the procedure is also called “quantifier elimination.’’ A serious def...
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