Title
RTL and Refutation by Positive Cycles
Abstract
In this paper, we examine the subclass of RTL formulas considered in [14, 15] which we call path RTL. We propose a formal semantic extension of path RTL covering nonexistent event occurrences and show that all systems specified in path RTL can be reduced to systems which have infinitely many occurrences of all event types. We then show the undecidability of the path RTL satisfiability problem, give a PTIME algorithm for positive cycle detection, and give examples to show why refutation by positive cycles is incomplete for the path RTL satisfiability problem. Finally, we discussed a subclass of path RTL for which refutation by positive cycles is sound and complete in regard to the satisfiability problem.
Year
DOI
Venue
1994
10.1007/3-540-58555-9_121
FME
Keywords
Field
DocType
positive cycles,satisfiability,formal semantics
Event type,Computer science,Boolean satisfiability problem,P,Cycle detection,Theoretical computer science
Conference
ISBN
Citations 
PageRank 
3-540-58555-9
11
0.60
References 
Authors
10
2
Name
Order
Citations
PageRank
Farn Wang1110.60
Aloysius K. Mok266286.52