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| Description
| - We study the problem of decidability of MSO theories on various (restricted) matroid classes. When considering the matroids representable over a finite field (which is in structural sense similar to graphs embedded on a surface), the situation resembles ordinary graphs as incidence structures. The MSO theory of all matroids over a finite field of bounded branch-width is decidable [Hlineny 2003]. Conversely, decidability of matroid MSO theory (over a finite field) implies a universal bound on branch-width [Hlineny, Seese 2005]. The situation gets much more versatile and interesting when considering matroids in general (as %22abstract%22, without a particular representation). We shall focus mainly on this part, and present some particular observations and results, and mainly open questions and directions for future research. This is related to another interesting question already raised by [Hlineny, Seese, 2006], what is a %22good%22 width measure for general matroids?
- We study the problem of decidability of MSO theories on various (restricted) matroid classes. When considering the matroids representable over a finite field (which is in structural sense similar to graphs embedded on a surface), the situation resembles ordinary graphs as incidence structures. The MSO theory of all matroids over a finite field of bounded branch-width is decidable [Hlineny 2003]. Conversely, decidability of matroid MSO theory (over a finite field) implies a universal bound on branch-width [Hlineny, Seese 2005]. The situation gets much more versatile and interesting when considering matroids in general (as %22abstract%22, without a particular representation). We shall focus mainly on this part, and present some particular observations and results, and mainly open questions and directions for future research. This is related to another interesting question already raised by [Hlineny, Seese, 2006], what is a %22good%22 width measure for general matroids? (en)
- We study the problem of decidability of MSO theories on various (restricted) matroid classes. When considering the matroids representable over a finite field (which is in structural sense similar to graphs embedded on a surface), the situation resembles ordinary graphs as incidence structures. The MSO theory of all matroids over a finite field of bounded branch-width is decidable [Hlineny 2003]. Conversely, decidability of matroid MSO theory (over a finite field) implies a universal bound on branch-width [Hlineny, Seese 2005]. The situation gets much more versatile and interesting when considering matroids in general (as %22abstract%22, without a particular representation). We shall focus mainly on this part, and present some particular observations and results, and mainly open questions and directions for future research. This is related to another interesting question already raised by [Hlineny, Seese, 2006], what is a %22good%22 width measure for general matroids? (cs)
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| Title
| - On decidability of MSO theories of combinatorial structures: Towards general matroids?
- On decidability of MSO theories of combinatorial structures: Towards general matroids? (en)
- On decidability of MSO theories of combinatorial structures: Towards general matroids? (cs)
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| skos:prefLabel
| - On decidability of MSO theories of combinatorial structures: Towards general matroids?
- On decidability of MSO theories of combinatorial structures: Towards general matroids? (en)
- On decidability of MSO theories of combinatorial structures: Towards general matroids? (cs)
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| skos:notation
| - RIV/61989100:27240/06:00013589!RIV07-GA0-27240___
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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...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/61989100:27240/06:00013589
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - matroid; MSO logic; decidability; width (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...v/mistoKonaniAkce
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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...ocetUcastnikuAkce
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| http://linked.open...nichUcastnikuAkce
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| http://linked.open...vavai/riv/projekt
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| http://linked.open...UplatneniVysledku
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| http://linked.open...iv/statKonaniAkce
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| http://linked.open...iv/tvurceVysledku
| - Hliněný, Petr
- Seese, Detlef
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| http://linked.open...vavai/riv/typAkce
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| http://linked.open.../riv/ukonceniAkce
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| http://linked.open.../riv/zahajeniAkce
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| http://localhost/t...ganizacniJednotka
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