We study a model for recursive functional programs called higher order recursion schemes (HORS). We give new proofs of two verification related problems: reflection and selection for HORS. The previous proofs are based on the equivalence between HORS and collapsible pushdown automata and they lose the structure of the initial program. The constructions presented here are based on shape preserving transformations, and can be applied on actual programs without losing the structure of the program.
@InProceedings{haddad:LIPIcs.FSTTCS.2013.115, author = {Haddad, Axel}, title = {{Model Checking and Functional Program Transformations}}, booktitle = {IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)}, pages = {115--126}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-64-4}, ISSN = {1868-8969}, year = {2013}, volume = {24}, editor = {Seth, Anil and Vishnoi, Nisheeth K.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2013.115}, URN = {urn:nbn:de:0030-drops-43605}, doi = {10.4230/LIPIcs.FSTTCS.2013.115}, annote = {Keywords: Higher-order recursion schemes, Model checking, Tree automata} }
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