Semirings, automata, languages
Semirings, automata, languages
Rational series and their languages
Rational series and their languages
Deciding equivalence of finite tree automata
SIAM Journal on Computing
MFCS '89 Selected papers of the symposium on Mathematical foundations of computer science
Finite tree automata with cost functions
Theoretical Computer Science - Selected papers of the 17th Colloquium on Trees in Algebra and Programming (CAAP '92) and of the European Symposium on Programming (ESOP), Rennes, France, Feb. 1992
Tree automata for code selection
Acta Informatica
Handbook of formal languages, vol. 3
Logical description of context-free graph languages
Journal of Computer and System Sciences
The transducers and formal tree series
Acta Cybernetica
A comparison of tree transductions defined by monadic second order logic and by attribute grammars
Journal of Computer and System Sciences
Automata: Theoretic Aspects of Formal Power Series
Automata: Theoretic Aspects of Formal Power Series
On the Determinization of Weighted Finite Automata
SIAM Journal on Computing
A Characterization of Context-Free NCE Graph Languages by Monadic Second-Order Logic on Trees
Proceedings of the 4th International Workshop on Graph-Grammars and Their Application to Computer Science
Image and video coding with weighted finite automata
ICIP '97 Proceedings of the 1997 International Conference on Image Processing (ICIP '97) 3-Volume Set-Volume 1 - Volume 1
Model-Checking Algorithms for Continuous-Time Markov Chains
IEEE Transactions on Software Engineering
Journal of Automata, Languages and Combinatorics - Special issue: Selected papers of the workshop weighted automata: Theory and applications (Dresden University of Technology (Germany), March 4-8, 2002)
Journal of Automata, Languages and Combinatorics - Special issue: Selected papers of the workshop weighted automata: Theory and applications (Dresden University of Technology (Germany), March 4-8, 2002)
Determinization of finite state weighted tree automata
Journal of Automata, Languages and Combinatorics
A Kleene Theorem for Weighted Tree Automata
Theory of Computing Systems
On Aperiodic and Star-Free Formal Power Series in Partially Commuting Variables
Theory of Computing Systems
Cut sets as recognizable tree languages
Fuzzy Sets and Systems
Weighted automata and weighted logics
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Code selection by tree series transducers
CIAA'04 Proceedings of the 9th international conference on Implementation and Application of Automata
Weighted automata and weighted logics
Theoretical Computer Science
Incomparability results for classes of polynomial tree series transformations
Journal of Automata, Languages and Combinatorics
Theoretical Computer Science
A note on cut-worthiness of recognizable tree series
Fuzzy Sets and Systems
Weighted Distributed Systems and Their Logics
LFCS '07 Proceedings of the international symposium on Logical Foundations of Computer Science
Weighted Logics for Nested Words and Algebraic Formal Power Series
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
Learning deterministically recognizable tree series
Journal of Automata, Languages and Combinatorics
RTA '09 Proceedings of the 20th International Conference on Rewriting Techniques and Applications
Weighted automata and weighted logics with discounting
Theoretical Computer Science
Definable transductions and weighted logics for texts
DLT'07 Proceedings of the 11th international conference on Developments in language theory
Weighted tree-walking automata
Acta Cybernetica
Max/plus tree automata for termination of term rewriting
Acta Cybernetica
Recognizable tree series with discounting
Acta Cybernetica
Weighted automata and weighted logics with discounting
CIAA'07 Proceedings of the 12th international conference on Implementation and application of automata
DLT'10 Proceedings of the 14th international conference on Developments in language theory
Describing average- and longtime-behavior by weighted MSO logics
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Weighted muller tree automata and weighted logics
Journal of Automata, Languages and Combinatorics
MSO logics for weighted timed automata
Formal Methods in System Design
Weighted automata and multi-valued logics over arbitrary bounded lattices
Theoretical Computer Science
Weighted tree automata over valuation monoids and their characterization by weighted logics
Algebraic Foundations in Computer Science
Multi-Valued MSO Logics OverWords and Trees
Fundamenta Informaticae
Weighted automata and weighted MSO logics for average and long-time behaviors
Information and Computation
Hi-index | 5.23 |
We define a weighted monadic second order logic for trees where the weights are taken from a commutative semiring. We prove that a restricted version of this logic characterizes the class of formal tree series which are accepted by weighted bottom-up finite state tree automata. The restriction on the logic can be dropped if additionally the semiring is locally finite. This generalizes corresponding classical results of Thatcher, Wright, and Doner for tree languages and it extends recent results of Droste and Gastin [Weighted automata and weighted logics, in: Automata, Languages and Programrning--32nd International Colloquium, ICALP 2005, Lisbon, Portugal, 2005, Proceedings, Lecture Notes in Computer Science, Vol. 3580, Springer, Berlin, 2005, pp. 513-525, full version in Theoretical Computer Science, to appear.] from formal power series on words to formal tree series.