Semirings, automata, languages
Semirings, automata, languages
Pushdown machines for the macro tree transducer
Theoretical Computer Science
Algebraic approaches to program semantics
Algebraic approaches to program semantics
Formal languages
Deciding equivalence of finite tree automata
Proceedings of the 6th Annual Symposium on Theoretical Aspects of Computer Science on STACS 89
On transductions of formal power series over complete semirings
Theoretical Computer Science - Selected papers of the 2nd workshop on algebraic and computer-theoretic aspects of formal power series
Nivat's theorem for pushdown transducers
Theoretical Computer Science
Theoretical Computer Science
Acta Informatica
Stochastically costed tree automata: Turakainen's theorem
Theoretical Computer Science
Completeness of Park induction
MFPS '94 Proceedings of the tenth conference on Mathematical foundations of programming semantics
Semirings and formal power series: their relevance to formal languages and automata
Handbook of formal languages, vol. 1
Handbook of formal languages, vol. 3
The transducers and formal tree series
Acta Cybernetica
Indexed Grammars—An Extension of Context-Free Grammars
Journal of the ACM (JACM)
Initial Algebra Semantics and Continuous Algebras
Journal of the ACM (JACM)
Pushdown tree automata, algebraic tree systems, and algebraic tree series
Information and Computation
Information and Computation
Algebraic Semantics
Algebraic and Automata-Theoretic Properties of Formal Languages
Algebraic and Automata-Theoretic Properties of Formal Languages
Automata, Languages, and Machines
Automata, Languages, and Machines
Bottom-up and top-down tree series transformations
Journal of Automata, Languages and Combinatorics
Gaußian Elimination and a Characterization of Algebraic Power Series
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Full Abstract Families of Tree Series I
Jewels are Forever, Contributions on Theoretical Computer Science in Honor of Arto Salomaa
The Kleene and the Parikh Theorem in Complete Semirings
ICALP '87 Proceedings of the 14th International Colloquium, on Automata, Languages and Programming
On Fixed-Point Clones (Extended Abstract)
ICALP '86 Proceedings of the 13th International Colloquium on Automata, Languages and Programming
Proceedings of the th International Meeting of Young Computer Scientists on Trends, Techniques, and Problems in Theoretical Computer Science
Context-free grammars on trees
STOC '69 Proceedings of the first annual ACM symposium on Theory of computing
Continuous monoids and semirings
Theoretical Computer Science - Logic, semantics and theory of programming
Hasse diagrams for classes of deterministic bottom-up tree-to-tree-series transformations
Theoretical Computer Science
Weighted tree automata and weighted logics
Theoretical Computer Science
Fuzzy Sets and Systems
Incomparability results for classes of polynomial tree series transformations
Journal of Automata, Languages and Combinatorics
Note: Schützenberger's theorem on formal power series follows from Kleene's theorem
Theoretical Computer Science
Theoretical Computer Science
A note on cut-worthiness of recognizable tree series
Fuzzy Sets and Systems
Learning Rational Stochastic Tree Languages
ALT '07 Proceedings of the 18th international conference on Algorithmic Learning Theory
Relevant Representations for the Inference of Rational Stochastic Tree Languages
ICGI '08 Proceedings of the 9th international colloquium on Grammatical Inference: Algorithms and Applications
Learning deterministically recognizable tree series
Journal of Automata, Languages and Combinatorics
Bisimulation Minimisation of Weighted Automata on Unranked Trees
Fundamenta Informaticae
A Mezei-Wright theorem for categorical algebras
Theoretical Computer Science
Definable transductions and weighted logics for texts
Theoretical Computer Science
Parsing algorithms based on tree automata
IWPT '09 Proceedings of the 11th International Conference on Parsing Technologies
Cut sets as recognizable tree languages
Fuzzy Sets and Systems
A coinductive calculus of binary trees
Information and Computation
The myhill-nerode theorem for recognizable tree series
DLT'03 Proceedings of the 7th international conference on Developments in language theory
Behavioural differential equations and coinduction for binary trees
WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
Weighted tree-walking automata
Acta Cybernetica
Efficient inference through cascades of weighted tree transducers
ACL '10 Proceedings of the 48th Annual Meeting of the Association for Computational Linguistics
ATANLP '10 Proceedings of the 2010 Workshop on Applications of Tree Automata in Natural Language Processing
Minimizing weighted tree grammars using simulation
FSMNLP'09 Proceedings of the 8th international conference on Finite-state methods and natural language processing
Varieties of recognizable tree series over fields
Theoretical Computer Science
Weighted muller tree automata and weighted logics
Journal of Automata, Languages and Combinatorics
Linear-time and may-testing in a probabilistic reactive setting
FMOODS'11/FORTE'11 Proceedings of the joint 13th IFIP WG 6.1 and 30th IFIP WG 6.1 international conference on Formal techniques for distributed systems
Multi-Linear Iterative K-Σ-Semialgebras
Electronic Notes in Theoretical Computer Science (ENTCS)
Does o-substitution preserve recognizability?
CIAA'06 Proceedings of the 11th international conference on Implementation and Application of Automata
The power of tree series transducers of type i and II
DLT'05 Proceedings of the 9th international conference on Developments in Language Theory
Learning multiplicity tree automata
ICGI'06 Proceedings of the 8th international conference on Grammatical Inference: algorithms and applications
Hierarchies of tree series transformations revisited
DLT'06 Proceedings of the 10th international conference on Developments in Language Theory
Weighted tree automata over valuation monoids and their characterization by weighted logics
Algebraic Foundations in Computer Science
Kleene theorem in partial conway theories with applications
Algebraic Foundations in Computer Science
Equational weighted tree transformations with discounting
Algebraic Foundations in Computer Science
Algebraic systems and pushdown automata
Algebraic Foundations in Computer Science
Survey: weighted extended top-down tree transducers part iii - composition
Algebraic Foundations in Computer Science
Weighted Extended Tree Transducers
Fundamenta Informaticae
Bisimulation Minimisation of Weighted Automata on Unranked Trees
Fundamenta Informaticae
Multi-Valued MSO Logics OverWords and Trees
Fundamenta Informaticae
Deciding the twins property for weighted tree automata over extremal semifields
ATANLP '12 Proceedings of the Workshop on Applications of Tree Automata Techniques in Natural Language Processing
Hi-index | 0.01 |
In this survey we report on generalizations of some results on formal tree languages, tree grammars and tree automata. These generalizations are achieved by an algebraic treatment using semirings, fixed point theory, formal tree series and matrices. By the use of these mathematical constructs definitions, constructions, and proofs are obtained that are very satisfactory from a mathematical point of view. The main surveyed results of the paper are the following: 1. Tree automata (resp. finite, polynomial tree automata), whose behaviours are tree series over a semiring, and systems of equations (resp. finite, polynomial systems of equations), whose least solutions are tuples of tree series over a semiring, are equivalent. 2. A Kleene result: the class of recognizable tree series is characterized by rational tree series expressions. 3. Pushdown tree automata, whose behaviours are tree series over a semiring, and algebraic tree systems are equivalent; moreover, the class of algebraic tree series is characterized by algebraic tree series expressions (a Kleene result). 4. The class of recognizable tree series is closed under nondeterministic simple recognizable tree series transductions. 5. The families of recognizable tree series and of algebraic tree series are full abstract families of tree series (full AFTs). 6. The macro power series, a generalization of the indexed languages, and the algebraic power series are exactly the yields of algebraic tree series and of recognizable tree series, respectively; there is a Kleene result for macro power series; the yield of a full AFT is a full abstract family of power series.