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| Description
| - Finding the minimal logical functions has important applications in the design of logical circuits. This task is solved by many different methods but, frequently, they are not suitable for a computer implementation. We briefly summarise the well-known Quine-McCluskey method, which gives a unique procedure of computing and thus can be simply implemented, but, even for simple examples, does not guarantee an optimal solution. Since the Petrick extension of the Quine-McCluskey method does not give a generally usable method for finding an optimum for logical functions with a high number of values, we focus on interpretation of the result of the Quine-McCluskey method and show that it represents a set covering problem that, unfortunately, is an NP-hard combinatorial problem. Therefore it must be solved by heuristic or approximation methods. We propose an approach based on genetic algorithms and show suitable parameter settings.
- Finding the minimal logical functions has important applications in the design of logical circuits. This task is solved by many different methods but, frequently, they are not suitable for a computer implementation. We briefly summarise the well-known Quine-McCluskey method, which gives a unique procedure of computing and thus can be simply implemented, but, even for simple examples, does not guarantee an optimal solution. Since the Petrick extension of the Quine-McCluskey method does not give a generally usable method for finding an optimum for logical functions with a high number of values, we focus on interpretation of the result of the Quine-McCluskey method and show that it represents a set covering problem that, unfortunately, is an NP-hard combinatorial problem. Therefore it must be solved by heuristic or approximation methods. We propose an approach based on genetic algorithms and show suitable parameter settings. (en)
- Hledání minimálních logických funkcí má významné aplikace v návrhu logických obvodů. Tato úloha se řeší mnoha různými metodami, ty ale často nejsou vhodné pro implementaci v počítači. Stručně shrneme známou Quine-McCluskeyho metodu, která dává jednoznačný postup výpočtu, a tedy ji lze snadno implementovat, avšak dokonce i pro jednoduché příklady negarantuje nalezení optimálního řešení. Protože Petráčkovo rozšíření Quine-McCluskeyho metody není obecně použitelné pro nalezení minima logických funcí s větším počtem hodnot, soustředíme se na interpretaci výsledku Quine-McCluskeyho metody a ukážeme, že představuje problém pokrytí, který však bohužel patří mezi NP-lěžké kombinatorické problémy. Proto musí být řešen heuristickými nebo aproximativními metodami. Navrhujeme přístup založený na genetických algoritmech ukážeme vhodné nastavení jeho parametrů. (cs)
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| Title
| - Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method
- Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method (en)
- Zlepšení Quine-McCluskeyho metody dodatečnou heuristikou založenou na řešení problému pokrytí (cs)
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| skos:prefLabel
| - Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method
- Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method (en)
- Zlepšení Quine-McCluskeyho metody dodatečnou heuristikou založenou na řešení problému pokrytí (cs)
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| skos:notation
| - RIV/00216305:26210/07:PU69339!RIV08-MSM-26210___
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| http://linked.open.../vavai/riv/strany
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
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| http://linked.open...iv/cisloPeriodika
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/00216305:26210/07:PU69339
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - Karnaugh map, Quine-McCluskey method, set covering problem, genetic algorithm (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...odStatuVydavatele
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/nazevZdroje
| - International Journal of Computational Intelligence
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...UplatneniVysledku
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| http://linked.open...v/svazekPeriodika
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| http://linked.open...iv/tvurceVysledku
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| http://linked.open...n/vavai/riv/zamer
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| http://localhost/t...ganizacniJednotka
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| is http://linked.open...avai/riv/vysledek
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