Alternating Regular Tree Grammars in the Framework of Lattice-Valued Logic
Publish place: Iranian Journal of Fuzzy Systems، Vol: 13، Issue: 2
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-13-2_006
تاریخ نمایه سازی: 28 خرداد 1401
Abstract:
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}.
Keywords:
Lattice-valued logic , Alternating top-down tree automaton , State alternating regular tree grammar , Alternating stack tree automaton
Authors
Maryam Ghorani
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Mohammad Mehdi Zahedi
Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran
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