Title
Completeness And Soundness Of Axiomatizations For Temporal Logics Without Next
Abstract
We present axiomatizations for Until Temporal Logic (UTL) and for Since/Until Temporal Logic (SUTL). These logics are intended for use in specifying and reasoning about concurrent systems. They employ neither a next nor a previous operator, which obstruct the use of hierarchical abstraction and refinement, and make reasoning about concurrency difficult. We also provide a procedure for translating SUTL formulas into UTL formulas, and demonstrate that the axiomatizations are sound and complete with respect to the class of ω-sequences. We show, however, that the axiomatization of UTL admits models that the axiomatization of SUTL does not, thereby demonstrating that the logics are not equivalent.
Year
DOI
Venue
1994
10.3233/FI-1994-2141
Fundam. Inform.
Keywords
Field
DocType
hierarchical abstraction,sutl formula,concurrent system,temporal logics,temporal logic,present axiomatizations,previous operator,utl formula
Discrete mathematics,Abstraction,Concurrency,Operator (computer programming),Soundness,Temporal logic,Completeness (statistics),Mathematics
Journal
Volume
Issue
Citations 
21
4
5
PageRank 
References 
Authors
0.63
16
4
Name
Order
Citations
PageRank
L.E. Moser1101.32
P.M. Melliar-Smith2101.32
G. Kutty314313.89
Y.S. Ramakrishna4101.66