Formal languages
Structural complexity 2
Programmed Grammars and Classes of Formal Languages
Journal of the ACM (JACM)
Journal of the ACM (JACM)
A shrinking lemma for random forbidding context languages
Theoretical Computer Science
Introduction to Circuit Complexity: A Uniform Approach
Introduction to Circuit Complexity: A Uniform Approach
A pumping lemma for random permitting context languages
Theoretical Computer Science
Introduction To Automata Theory, Languages, And Computation
Introduction To Automata Theory, Languages, And Computation
Regulated Rewriting in Formal Language Theory
Regulated Rewriting in Formal Language Theory
ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
Classes of Szilard Languages in NC^1
SYNASC '09 Proceedings of the 2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
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We investigate computational resources used by alternating Turing machines (ATMs) to accept Szilard languages (SZLs) of regulated rewriting grammars. The main goal is to relate these languages to lowlevel complexity classes such as NC1 and NC2. We focus on the derivation process in random context grammars (RCGs) with context-free rules. We prove that unrestricted SZLs and leftmost-1 SZLs of RCGs can be accepted by ATMs in logarithmic time and space. Hence, these languages belong to the UE*-uniform NC1 class. Leftmost-i SZLs, i ∈ {2, 3}, of RCGs can be accepted by ATMs in logarithmic space and square logarithmic time. Consequently, these languages belong to NC2. Moreover, we give results on SZLs of RCGs with phrase-structure rules and present several applications on SZLs of other regulated rewriting grammars.