Deciding subset relationship of co-inductively defined set constants
- Static analysis of different non-strict functional programming languages makes use of set constants like Top, Inf, and Bot denoting all expressions, all lists without a last Nil as tail, and all non-terminating programs, respectively. We use a set language that permits union, constructors and recursive definition of set constants with a greatest fixpoint semantics. This paper proves decidability, in particular EXPTIMEcompleteness, of subset relationship of co-inductively defined sets by using algorithms and results from tree automata. This shows decidability of the test for set inclusion, which is required by certain strictness analysis algorithms in lazy functional programming languages.
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Orig. Version, 15. Aug. 2005
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| Author: | Manfred Schmidt-SchaußORCiDGND, David SabelORCiDGND, Marko Schütz |
|---|---|
| URN: | urn:nbn:de:hebis:30-23464 |
| URL: | http://www.ki.informatik.uni-frankfurt.de/papers/schauss/cbneedname-inftree.pdf |
| Parent Title (English): | Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik ; 23 |
| Series (Serial Number): | Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik (23) |
| Publisher: | Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik, Research group for Artificial Intelligence and Software Technology |
| Place of publication: | Frankfurt [am Main] |
| Document Type: | Working Paper |
| Language: | English |
| Date of Publication (online): | 2005/08/15 |
| Date of first Publication: | 2005/08/15 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2006/04/19 |
| Issue: | Version: 15. Aug. 2005 |
| Page Number: | 12 |
| Last Page: | 12 |
| HeBIS-PPN: | 195632117 |
| Institutes: | Informatik und Mathematik / Informatik |
| Dewey Decimal Classification: | 0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik |
| Licence (German): |  Deutsches Urheberrecht |
