What Can Be Certified Compactly? Compact local certification of MSO properties in tree-like graphs

Author:

Feuilloley Laurent1,Bousquet Nicolas1,Pierron Théo2

Affiliation:

1. Univ Lyon, CNRS, INSA Lyon, UCBL, LIRIS, UMR5205, Villeurbanne, France

2. Univ Lyon, UCBL, CNRS, INSA Lyon, LIRIS, UMR5205, Villeurbanne, France

Funder

Agence Nationale de la Recherche

Publisher

ACM

Reference38 articles.

1. Complexity classes in communication complexity theory

2. Hans L. Bodlaender . A partial k-arboretum of graphs with bounded treewidth. Theor. Comput. Sci., 209(1--2):1--45 , 1998 . Hans L. Bodlaender. A partial k-arboretum of graphs with bounded treewidth. Theor. Comput. Sci., 209(1--2):1--45, 1998.

3. Iovka Boneva and Jean-Marc Talbot . Automata and logics for unranked and unordered trees. In Jürgen Giesl, editor, Term Rewriting and Applications , 16th International Conference, RTA 2005 , volume 3467 , pages 500 -- 515 , 2005 . Iovka Boneva and Jean-Marc Talbot. Automata and logics for unranked and unordered trees. In Jürgen Giesl, editor, Term Rewriting and Applications, 16th International Conference, RTA 2005, volume 3467, pages 500--515, 2005.

4. Nicolas Bousquet , Laurent Feuilloley , and Théo Pierron . Local certification of graph decompositions and applications to minor-free classes . In 25th International Conference on Principles of Distributed Systems, OPODIS 2021 , volume 217 of LIPIcs, pages 22: 1 -- 22 :17, 2021 . Nicolas Bousquet, Laurent Feuilloley, and Théo Pierron. Local certification of graph decompositions and applications to minor-free classes. In 25th International Conference on Principles of Distributed Systems, OPODIS 2021, volume 217 of LIPIcs, pages 22:1--22:17, 2021.

5. J Richard Büchi . Weak second-order arithmetic and finite automata. Mathematical Logic Quarterly, 6(1--6) , 1960 . J Richard Büchi. Weak second-order arithmetic and finite automata. Mathematical Logic Quarterly, 6(1--6), 1960.

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