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Two Power-Decreasing Derivation Restrictions in Generalized Scattered Context Grammars
Authors | |
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Year of publication | 2008 |
Type | Article in Periodical |
Magazine / Source | Acta Cybernetica |
MU Faculty or unit | |
Citation | |
Web | http://www.inf.u-szeged.hu/actacybernetica/edb/Author/MASOPUST-TOMAS.xml |
Keywords | scattered context grammar, grammatical generalization, derivation restriction, generative power |
Description | The present paper introduces and discusses generalized scattered context grammars that are based upon sequences of productions whose left-hand sides are formed by nonterminal strings, not just single nonterminals. It places two restrictions on the derivations in these grammars. More specifically, let k be a positive integer. The first restriction requires that all rewritten symbols occur within the first k symbols of the first continuous block of nonterminals in the sentential form during every derivation step. The other restriction defines derivations over sentential forms containing no more than k occurrences of nonterminals. As its main result, the paper demonstrates that both restrictions decrease the generative power of these grammars to the power of context-free grammars. |