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        <identifier>oai:drops-oai.dagstuhl.de:293</identifier>
        <datestamp>2024-03-06T11:06:08Z</datestamp>
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          <dc:title>Diagrammatic logic and exceptions:an introduction</dc:title>
          <dc:creator>Duval, Dominique</dc:creator>
          <dc:creator>Reynaud, Jean-Claude</dc:creator>
          <dc:subject>Specifications</dc:subject>
          <dc:subject>Semantics</dc:subject>
          <dc:subject>Exceptions</dc:subject>
          <dc:subject>Sketches</dc:subject>
          <dc:subject>Diagrammatic Logic</dc:subject>
          <dc:subject>Extensive Categories</dc:subject>
          <dc:subject>Monads.</dc:subject>
          <dc:description>For dealing with computational effects in computer &#13;
science, it may be helpful to use several logics: &#13;
typically, a logic with implicit effects for the &#13;
language, and a more classical logic for the user. &#13;
Hence, the study of computational effects should &#13;
take place in a framework where distinct logics &#13;
can be related. In this paper, such a framework is &#13;
presented: it is a category, called the category &#13;
of propagators. Each propagator defines a kind of &#13;
logic, called a diagrammatic logic, which is &#13;
endowed with a deduction system and a sound notion &#13;
of models. Morphisms of propagators provide the &#13;
required relationships between diagrammatic &#13;
logics. The category of propagators has been &#13;
introduced by Duval and Lair in 2002, it is based &#13;
on the notion of sketches, which is due to &#13;
Ehresmann in the 1960's. Then, the paper outlines &#13;
how Duval and Reynaud in 2004 used the category of &#13;
propagators for dealing with the computational &#13;
effect of raising and handling exceptions. Another &#13;
application of diagrammatic logic is presented by &#13;
Dominguez et al. in the same conference</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Dominique Duval and Jean-Claude Reynaud</dc:contributor>
          <dc:date>2006</dc:date>
          <dc:relation>Is Part Of Dagstuhl Seminar Proceedings, Volume 5021, Mathematics, Algorithms, Proofs (2006)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
          <dc:type>doc-type:ResearchArticle</dc:type>
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          <dc:format>application/pdf</dc:format>
          <dc:identifier>doi:10.4230/DagSemProc.05021.11</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-2931</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05021.11</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
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