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» Decidability of MSO Theories of Tree Structures
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FSTTCS
2004
Springer
14 years 1 months ago
Decidability of MSO Theories of Tree Structures
In this paper we provide an automaton-based solution to the decision problem for a large set of monadic second-order theories of deterministic tree structures. We achieve it in two...
Angelo Montanari, Gabriele Puppis
LICS
2007
IEEE
14 years 2 months ago
A Contraction Method to Decide MSO Theories of Deterministic Trees
In this paper we generalize the contraction method, originally proposed by Elgot and Rabin and later extended by Carton and Thomas, from labeled linear orderings to colored determ...
Angelo Montanari, Gabriele Puppis
POPL
2011
ACM
12 years 10 months ago
Decidable logics combining heap structures and data
We define a new logic, STRAND, that allows reasoning with heapmanipulating programs using deductive verification and SMT solvers. STRAND logic (“STRucture ANd Data” logic) f...
P. Madhusudan, Gennaro Parlato, Xiaokang Qiu
PODS
2007
ACM
171views Database» more  PODS 2007»
14 years 7 months ago
Monadic datalog over finite structures with bounded treewidth
Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key concepts in establishing fixed-parameter tractability results. Indeed, by Courcelle's Theorem we ...
Georg Gottlob, Reinhard Pichler, Fang Wei
FSTTCS
2005
Springer
14 years 1 months ago
The MSO Theory of Connectedly Communicating Processes
Abstract. We identify a network of sequential processes that communicate by synchronizing frequently on common actions. More precisely, we demand that there is a bound k such that ...
P. Madhusudan, P. S. Thiagarajan, Shaofa Yang