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DLT
2009
13 years 3 months ago
On the Complexity of Hmelevskii's Theorem and Satisfiability of Three Unknown Equations
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Aleksi Saarela
DLT
2009
13 years 3 months ago
Tight Bounds on the Descriptional Complexity of Regular Expressions
Abstract. We improve on some recent results on lower bounds for conversion problems for regular expressions. In particular we consider the conversion of planar deterministic finite...
Hermann Gruber, Markus Holzer
DLT
2009
13 years 3 months ago
Weighted versus Probabilistic Logics
While a mature theory around logics such as MSO, LTL, and CTL has been developed in the pure boolean setting of finite automata, weighted automata lack such a natural connection wi...
Benedikt Bollig, Paul Gastin
DLT
2009
13 years 3 months ago
Closures in Formal Languages and Kuratowski's Theorem
A famous theorem of Kuratowski states that, in a topological space, at most 14 distinct sets can be produced by repeatedly applying the operations of closure and complement to a gi...
Janusz A. Brzozowski, Elyot Grant, Jeffrey Shallit
DLT
2009
13 years 3 months ago
On Stateless Multihead Finite Automata and Multihead Pushdown Automata
A stateless k-head two-way deterministic finite automaton (k-head 2DFA), has only one state, hence the designation stateless. Its transitions depends solely on the symbols currentl...
Pierluigi Frisco, Oscar H. Ibarra