Title
MSO decidability of multi-pushdown systems via split-width
Abstract
Multi-threaded programs with recursion are naturally modeled as multi-pushdown systems. The behaviors are represented as multiply nested words (MNWs), which are words enriched with additional binary relations for each stack matching a push operation with the corresponding pop operation. Any MNW can be decomposed by two basic and natural operations: shuffle of two sequences of factors and merge of consecutive factors of a sequence. We say that the split-width of a MNW is k if it admits a decomposition where the number of factors in each sequence is at most k. The MSO theory of MNWs with split-width k is decidable. We introduce two very general classes of MNWs that strictly generalize known decidable classes and prove their MSO decidability via their split-width and obtain comparable or better bounds of tree-width of known classes.
Year
DOI
Venue
2012
10.1007/978-3-642-32940-1_38
CONCUR
Keywords
Field
DocType
multi-threaded program,natural operation,multi-pushdown system,corresponding pop operation,split-width k,mso decidability,push operation,known class,decidable class,additional binary relation,mso theory
Discrete mathematics,Binomial options pricing model,Combinatorics,Nested word,Binary relation,Decidability,Tree automaton,Merge (version control),Mathematics,Recursion
Conference
Volume
ISSN
Citations 
7454
0302-9743
18
PageRank 
References 
Authors
0.71
23
3
Name
Order
Citations
PageRank
Aiswarya Cyriac1583.31
Paul Gastin2116575.66
K. Narayan Kumar31396.98