TY - JOUR

T1 - Timer formulas and decidable metric temporal logic

AU - Hirshfeld, Yoram

AU - Rabinovich, Alexander

PY - 2005/5/1

Y1 - 2005/5/1

N2 - We define a quantitative temporal logic that is based on a simple modality within the framework of monadic predicate logic. Its canonical model is the real line (and not an ω-sequence of some type). It can be interpreted either by behaviors with finite variability or by unrestricted behaviors. For finite variability models it is as expressive as any logic suggested in the literature. For unrestricted behaviors our treatment is new. In both cases we prove decidability and complexity bounds using general theorems from logic (and not from automata theory). The technical proof uses a sublanguage of the metric monadic logic of order, the language of timer normal form formulas. Metric formulas are reduced to timer normal form and timer normal form formulas allow elimination of the metric.

AB - We define a quantitative temporal logic that is based on a simple modality within the framework of monadic predicate logic. Its canonical model is the real line (and not an ω-sequence of some type). It can be interpreted either by behaviors with finite variability or by unrestricted behaviors. For finite variability models it is as expressive as any logic suggested in the literature. For unrestricted behaviors our treatment is new. In both cases we prove decidability and complexity bounds using general theorems from logic (and not from automata theory). The technical proof uses a sublanguage of the metric monadic logic of order, the language of timer normal form formulas. Metric formulas are reduced to timer normal form and timer normal form formulas allow elimination of the metric.

UR - http://www.scopus.com/inward/record.url?scp=17644387748&partnerID=8YFLogxK

U2 - 10.1016/j.ic.2004.12.002

DO - 10.1016/j.ic.2004.12.002

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AN - SCOPUS:17644387748

SN - 0890-5401

VL - 198

SP - 148

EP - 178

JO - Information and Computation

JF - Information and Computation

IS - 2

ER -