On Relaxing Metric Information in Linear Temporal Logic

Carlo A. Furia, Paola Spoletini
2011 2011 Eighteenth International Symposium on Temporal Representation and Reasoning  
Metric LTL formulas rely on the next operator to encode time distances, whereas qualitative LTL formulas use only the until operator. This paper shows how to transform any metric LTL formula M into a qualitative formula Q, such that Q is satisfiable if and only if M is satisfiable over words with variability bounded with respect to the largest distances used in M (i.e., occurrences of next), but the size of Q is independent of such distances. Besides the theoretical interest, this result can
more » ... p simplify the verification of systems with time-granularity heterogeneity, where large distances are required to express the coarse-grain dynamics in terms of fine-grain time units.
doi:10.1109/time.2011.9 dblp:conf/time/FuriaS11 fatcat:4zu2b52finhufcvruk3glpwv4u