Decidability problems for the prenex fragment of intuitionistic logic

Anatoli Degtyarev, Andrei Voronkov

    Research output: Chapter in Book/Conference proceedingConference contribution

    Abstract

    We develop a constraint-based technique which allows one to prove decidability and complexity results for sequent calculi. Specifically, we study decidability problems for the prenex fragment of intuitionistic logic. We introduce an analogue of Skolemization for intuitionistic logic with equality, prove PSPACE-completeness of two fragments of intuitionistic logic with and without equality and some other results. In the proofs, we use a combination of techniques of constraint satisfaction, loop-free sequent systems of intuitionistic logic and properties of simultaneous rigid E-unification.
    Original languageEnglish
    Title of host publicationProceedings - Symposium on Logic in Computer Science|Proc Symp Logic Comput Sci
    Place of PublicationPiscataway, NJ, United States
    PublisherIEEE
    Pages503-512
    Number of pages9
    Publication statusPublished - 1996
    EventProceedings of the 1996 11th Annual IEEE Symposium on Logic in Computer Science, LICS'96 - New Brunswick, NJ, USA
    Duration: 1 Jul 1996 → …
    http://dblp.uni-trier.de/db/conf/lics/lics96.html#DegtyarevV96http://dblp.uni-trier.de/rec/bibtex/conf/lics/DegtyarevV96.xmlhttp://dblp.uni-trier.de/rec/bibtex/conf/lics/DegtyarevV96

    Conference

    ConferenceProceedings of the 1996 11th Annual IEEE Symposium on Logic in Computer Science, LICS'96
    CityNew Brunswick, NJ, USA
    Period1/07/96 → …
    Internet address

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