---
res:
bibo_abstract:
- There is recently a significant effort to add quantitative objectives to formal
verification and synthesis. We introduce and investigate the extension of temporal
logics with quantitative atomic assertions, aiming for a general and flexible
framework for quantitative-oriented specifications. In the heart of quantitative
objectives lies the accumulation of values along a computation. It is either the
accumulated summation, as with the energy objectives, or the accumulated average,
as with the mean-payoff objectives. We investigate the extension of temporal logics
with the prefix-accumulation assertions Sum(v) ≥ c and Avg(v) ≥ c, where v is
a numeric variable of the system, c is a constant rational number, and Sum(v)
and Avg(v) denote the accumulated sum and average of the values of v from the
beginning of the computation up to the current point of time. We also allow the
path-accumulation assertions LimInfAvg(v) ≥ c and LimSupAvg(v) ≥ c, referring
to the average value along an entire computation. We study the border of decidability
for extensions of various temporal logics. In particular, we show that extending
the fragment of CTL that has only the EX, EF, AX, and AG temporal modalities by
prefix-accumulation assertions and extending LTL with path-accumulation assertions,
result in temporal logics whose model-checking problem is decidable. The extended
logics allow to significantly extend the currently known energy and mean-payoff
objectives. Moreover, the prefix-accumulation assertions may be refined with "controlled-accumulation",
allowing, for example, to specify constraints on the average waiting time between
a request and a grant. On the negative side, we show that the fragment we point
to is, in a sense, the maximal logic whose extension with prefix-accumulation
assertions permits a decidable model-checking procedure. Extending a temporal
logic that has the EG or EU modalities, and in particular CTL and LTL, makes the
problem undecidable.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Udi
foaf_name: Boker, Udi
foaf_surname: Boker
foaf_workInfoHomepage: http://www.librecat.org/personId=31E297B6-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Krishnendu
foaf_name: Chatterjee, Krishnendu
foaf_surname: Chatterjee
foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-4561-241X
- foaf_Person:
foaf_givenName: Thomas A
foaf_name: Henzinger, Thomas A
foaf_surname: Henzinger
foaf_workInfoHomepage: http://www.librecat.org/personId=40876CD8-F248-11E8-B48F-1D18A9856A87
orcid: 0000−0002−2985−7724
- foaf_Person:
foaf_givenName: Orna
foaf_name: Kupferman, Orna
foaf_surname: Kupferman
bibo_doi: 10.1109/LICS.2011.33
dct_date: 2011^xs_gYear
dct_language: eng
dct_publisher: IEEE@
dct_title: Temporal specifications with accumulative values@
...