Rewriting of higher-order-meta-expressions with recursive bindings
- We introduce rewriting of meta-expressions which stem from a meta-language that uses higher-order abstract syntax augmented by meta-notation for recursive let, contexts, sets of bindings, and chain variables. Additionally, three kinds of constraints can be added to meta-expressions to express usual constraints on evaluation rules and program transformations. Rewriting of meta-expressions is required for automated reasoning on programs and their properties. A concrete application is a procedure to automatically prove correctness of program transformations in higher-order program calculi which may permit recursive let-bindings as they occur in functional programming languages. Rewriting on meta-expressions can be performed by solving the so-called letrec matching problem which we introduce. We provide a matching algorithm to solve it. We show that the letrec matching problem is NP-complete, that our matching algorithm is sound and complete, and that it runs in non-deterministic polynomial time.
Author: | David SabelORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-443148 |
ISSN: | 1868-8330 |
Parent Title (German): | Frankfurter Informatik-Berichte [; Nr. 2007,1] |
Series (Serial Number): | Frankfurter Informatik-Berichte ([2017, 1]) |
Publisher: | Goethe-Univ., Fachbereich Informatik und Mathematik, Institut für Informatik |
Place of publication: | Frankfurt am Main |
Document Type: | Working Paper |
Language: | English |
Date of Publication (online): | 2017/06/19 |
Year of first Publication: | 2017 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2017/06/26 |
Tag: | matching; program transformation; rewriting; verification |
GND Keyword: | Terrmersetzungssystem; Reduktionssystem |
Page Number: | 16 |
HeBIS-PPN: | 405730799 |
Institutes: | Informatik und Mathematik / Informatik |
Dewey Decimal Classification: | 0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Deutsches Urheberrecht |