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Theoretical Computer Science 6th IFIP TC 1/WG 2.2 International Conference,TCS 2010, Held as Part of WCC 2010, Brisbane, Australia, September 20-23, 2010 |
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Conference papers
A Logic on Subobjects and Recognizability
Abstract : We introduce a simple logic that allows to quantify over the subobjects of a categorical object. We subsequently show that, for the category of graphs, this logic is equally expressive as second-order monadic graph logic (msogl). Furthermore we show that for the more general setting of hereditary pushout categories, a class of categories closely related to adhesive categories, we can recover Courcelle's result that every msogl-expressible property is recognizable. This is done by giving an inductive translation of formulas of our logic into so-called automaton functors which accept recognizable languages of cospans.
Cited literature [16 references]
https://hal.inria.fr/hal-01054459
Contributor : Hal Ifip <>
Submitted on : Wednesday, August 6, 2014 - 4:25:45 PM
Last modification on : Tuesday, March 20, 2018 - 2:50:05 PM
Long-term archiving on: : Wednesday, November 26, 2014 - 1:00:58 AM
Contributor : Hal Ifip <>
Submitted on : Wednesday, August 6, 2014 - 4:25:45 PM
Last modification on : Tuesday, March 20, 2018 - 2:50:05 PM
Long-term archiving on: : Wednesday, November 26, 2014 - 1:00:58 AM
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