Infinite systems of linear equations and mathematical logic (Q1348107)
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scientific article; zbMATH DE number 1741674
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite systems of linear equations and mathematical logic |
scientific article; zbMATH DE number 1741674 |
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Infinite systems of linear equations and mathematical logic (English)
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15 May 2002
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The compactness theorem of a first-order logic is applied to a collection of infinitely many (finitary) homogeneous linear equations. The properties of a non-trivial \(h\)-solution are discussed. This procedure is then illustrated by the problem of the fundamental period of a Fibonacci sequence in a finite \(p\)-group of an exponent \(p\).
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compactness theorem
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Fibonacci sequence
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first-order logic
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first-order language
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finitary homogeneous equations
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