This paper discusses scattered context grammars (SCG) and considers the application of scattered context grammar production rules. We use function that represents single derivation step over the given sentential form. Moreover, we define this function in such a way, so that it represents the delayed execution of scattered context grammar production rules using the same principles as a lazy evaluation in functional programming. Finally, we prove equivalence of the usual and the delayed execution of SCG production rules.
@InProceedings{jirak_et_al:OASIcs:2009:DROPS.MEMICS.2009.2351, author = {Jir\'{a}k, Ota and Kol\'{a}\v{r}, Du\v{s}an}, title = {{Derivation in Scattered Context Grammar via Lazy Function Evaluation}}, booktitle = {Annual Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (MEMICS'09)}, pages = {27--36}, series = {Open Access Series in Informatics (OASIcs)}, ISBN = {978-3-939897-15-6}, ISSN = {2190-6807}, year = {2009}, volume = {13}, editor = {Hlinen\'{y}, Petr and Maty\'{a}\v{s}, V\'{a}clav and Vojnar, Tom\'{a}\v{s}}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DROPS.MEMICS.2009.2351}, URN = {urn:nbn:de:0030-drops-23517}, doi = {10.4230/DROPS.MEMICS.2009.2351}, annote = {Keywords: SCG, delayed execution, derivation, lazy evaluation} }
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