Title
Deciding Global Partial-Order Properties
Abstract
Model checking of asynchronous systems is traditionally based on the interleaving model, where an execution is modeled by a total order between events. Recently, the use of partial order semantics that allows independent events of concurrent processes to be unordered is becoming popular. Temporal logics that are interpreted over partial orders allow specifications relating global snapshots, and permit reduction algorithms to generate only one representative linearization of every possible partial-order execution during state-space search. This paper considers the satisfiability and the model checking problems for temporal logics interpreted over partially ordered sets of global configurations. For such logics, only undecidability results have been proved previously. In this paper, we present an Expspace decision procedure for a fragment that contains an eventuality operator and its dual. We also sharpen previous undecidability results, which used global predicates over configurations. We show that although our logic allows only local propositions (over events), it becomes undecidable when adding some natural until operator.
Year
DOI
Venue
2005
10.1007/s10703-005-4592-0
Formal Methods in System Design
Keywords
Field
DocType
global partial-order properties,temporal logics,general global logic,total order,partial order logic,causal order,model checking,global state,partial order semantics,undecidability result,concurrency,partial order logics,partial order,interleaving model,state space,temporal logic,partially ordered set,satisfiability,asynchronous system
Discrete mathematics,Model checking,Computer science,Satisfiability,Algorithm,EXPSPACE,Theoretical computer science,Operator (computer programming),Program analysis,Partially ordered set,Linearization,Undecidable problem
Journal
Volume
Issue
ISSN
26
1
0925-9856
ISBN
Citations 
PageRank 
3-540-64781-3
10
0.70
References 
Authors
23
3
Name
Order
Citations
PageRank
Rajeev Alur1172531413.65
Kenneth L. McMillan23332269.05
Doron Peled33357273.18