Title
Structural Analysis of Boolean Equation Systems
Abstract
We analyze the problem of solving Boolean equation systems through the use of structure graphs. The latter are obtained through an elegant set of Plotkin-style deduction rules. Our main contribution is that we show that equation systems with bisimilar structure graphs have the same solution. We show that our work conservatively extends earlier work, conducted by Keiren and Willemse, in which dependency graphs were used to analyze a subclass of Boolean equation systems, viz., equation systems in standard recursive form. We illustrate our approach by a small example, demonstrating the effect of simplifying an equation system through minimization of its structure graph.
Year
DOI
Venue
2012
10.1145/2071368.2071376
ACM Transactions on Computational Logic
Keywords
DocType
Volume
main contribution,plotkin-style deduction rule,structural analysis,boolean equation system,bisimilar structure graph,equation system,standard recursive form,elegant set,small example,dependency graph,structure graph,boolean equation systems,structure analysis
Journal
13
Issue
ISSN
Citations 
1
1529-3785
0
PageRank 
References 
Authors
0.34
21
3
Name
Order
Citations
PageRank
J. J. A. Keiren1978.13
M.A. Reniers236932.69
Tim A. C. Willemse334532.79