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Alternating Regular Tree Grammars in the Framework of Lattice-Valued Logic | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 6، دوره 13، شماره 2، تیر 2016، صفحه 71-94 اصل مقاله (679.34 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2360 | ||
نویسندگان | ||
Maryam Ghorani ![]() | ||
1Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran | ||
2Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | ||
چکیده | ||
In this paper, two different ways of introducing alternation for lattice-valued (referred to as {L}valued) regular tree grammars and {L}valued top-down tree automata are compared. One is the way which defines the alternating regular tree grammar, i.e., alternation is governed by the non-terminals of the grammar and the other is the way which combines state with alternation. The first way is taken over to prove a main theorem: the class of languages generated by an {L}valued alternating regular tree grammar {LAG}) is equal to the class of languages accepted by an {L}valued alternating top-down tree automaton {LAA}). The second way is taken over to define a new type of automaton by combining the {L}valued alternating top-down tree automaton with stack, called {L}-valued alternating stack tree automaton {LASA} and the generative power of it is compared to some well-known language classes, especially to {LAA} and to {LAG} Also, we have derived a characterization of the state alternating regular tree grammar {LSAG}) in terms of {LASA}. | ||
کلیدواژهها | ||
Lattice-valued logic؛ Alternating top-down tree automaton؛ State alternating regular tree grammar؛ Alternating stack tree automaton | ||
مراجع | ||
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