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Titlebook: Descriptional Complexity of Formal Systems; 20th IFIP WG 1.02 In Stavros Konstantinidis,Giovanni Pighizzini Conference proceedings 2018 IFI

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Forward Injective Finite Automata: Exact and Random Generation of Nonisomorphic NFAs, to isomorphism. Using this representation an enumeration is given and an efficient uniform random generator is presented. We provide a conversion algorithm from a nondeterministic finite automaton or regular expression into an equivalent FIFA. Finally, we present some experimental results comparing
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A Local Limit Property for Pattern Statistics in Bicomponent Stochastic Models,c model for the random generation is defined by a rational formal series with non-negative real coefficients. The result yields a local limit towards a uniform density function and holds under the assumption that the formal series defining the model is recognized by a weighted finite state automaton
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Cover Complexity of Finite Languages,ive a characterisation of the situations in which they collapse to a bounded complexity measure. Moreover, we show for a restricted class of context-free grammars that its grammatical cover complexity measure w.r.t. a finite language . is unbounded and that the cover complexity of . can be computed
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State Complexity of Unambiguous Operations on Deterministic Finite Automata,enation, and Kleene star operations on formal languages. For the disjoint union of languages represented by an .-state and an .-state DFA, the state complexity is .; for the unambiguous concatenation, it is known to be . (Daley et al. “Orthogonal concatenation: Language equations and state complexit
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Cycle Height of Finite Automata, has cycle height . for some .. We give a polynomial time algorithm to decide whether an NFA has finite cycle height and, in the positive case, to compute its optimal cycle height. Nondeterministic finite automata of finite cycle height recognize the polynomial density regular languages.
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