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  Hybrid Languages and Temporal Logic

Blackburn, P., & Tzakova, M. (1999). Hybrid Languages and Temporal Logic. Logic Journal of the IGPL, 7(1), 27-54.

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 Urheber:
Blackburn, Patrick, Autor
Tzakova, Miroslava1, Autor           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Zusammenfassung: Hybridization is a method invented by Arthur Prior for extending the expressive power of modal languages. Although developed in interesting ways by Robert Bull, and by the Sofia school (notably, George Gargov, Valentin Goranko, Solomon Passy and Tinko Tinchev), the method remains little known. In our view this has deprived temporal logic of a valuable tool. The aim of the paper is to explain why hybridization is useful in temporal logic. We make two major points, the first technical, the second conceptual. First, we show that hybridization gives rise to well-behaved logics that exhibit an interesting synergy between modal and classical ideas. This synergy, obvious for hybrid languages with full first-order expressive strength, is demonstrated for a weaker local language capable of defining the {\it Until\/} operator; we provide a minimal axiomatization, and show that in a wide range of temporally interesting cases extended completeness results can be obtained automatically. Second, we argue that the idea of sorted atomic symbols which underpins the hybrid enterprise can be developed further. To illustrate this, we discuss the advantages and disadvantages of a simple hybrid language which can quantify over paths.

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Sprache(n): eng - English
 Datum: 2010-03-121999
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: eDoc: 519662
Anderer: Local-ID: C1256104005ECAFC-FABF7D15559C5285C1256695004AE933-Tzakova99a
 Art des Abschluß: -

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Titel: Logic Journal of the IGPL
Genre der Quelle: Zeitschrift
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 7 (1) Artikelnummer: - Start- / Endseite: 27 - 54 Identifikator: ISSN: 1368-9894