On the algebraic formulation of certain geometry statements and mechanical geometry theorem proving (Q1121669)
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scientific article; zbMATH DE number 4104379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the algebraic formulation of certain geometry statements and mechanical geometry theorem proving |
scientific article; zbMATH DE number 4104379 |
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On the algebraic formulation of certain geometry statements and mechanical geometry theorem proving (English)
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1989
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Some well-known elementary geometry statements are rewritten in a form of formulas with universal quantifiers and appropriate boolean formulas of polynomial equations as quantifier-free parts. This algebraic reformulation is used for mechanical proving of geometrical statements involving Nullstellensatz.
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Gröbner basis
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polynomial equations
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nondegenerate conditions
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Ritt's algorithms
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Wu's method
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algebraically (or real) closed field
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algebraic geometry
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irreducible variety
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nondegenerate component
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Simson's theorem
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Pappus' theorem
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