Formally Reasoning About Quality

@article{Almagor2016FormallyRA,
  title={Formally Reasoning About Quality},
  author={Shaull Almagor and Udi Boker and Orna Kupferman},
  journal={Journal of the ACM (JACM)},
  year={2016},
  volume={63},
  pages={1 - 56}
}
In recent years, there has been a growing need and interest in formally reasoning about the quality of software and hardware systems. As opposed to traditional verification, in which one considers the question of whether a system satisfies a given specification or not, reasoning about quality addresses the question of how well the system satisfies the specification. We distinguish between two approaches to specifying quality. The first, propositional quality, extends the specification formalism… 

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References

SHOWING 1-10 OF 96 REFERENCES
Formalizing and Reasoning about Quality
TLDR
By extending the automata-theoretic approach for LTL to a setting that takes quality into an account, it is able to solve the above problems and show that reasoning about LTL has roughly the same complexity as reasoning about traditional LTL.
Discounting in LTL
TLDR
One direction in this effort is to refine the “eventually” operators of temporal logic to discounting operators: the satisfaction value of a specification is a value in [0,1], where the longer it takes to fulfill eventuality requirements, the smaller the satisfactionvalue is.
Model checking discounted temporal properties
Sanity Checks in Formal Verification
TLDR
Examination of existing work on vacuity and coverage argues that, in many aspects, the two checks are essentially the same: both are based on repeating the verification process on some mutant input, whereas in coverage, mutations are in the system.
Model checking
TLDR
Model checking tools, created by both academic and industrial teams, have resulted in an entirely novel approach to verification and test case generation that often enables engineers in the electronics industry to design complex systems with considerable assurance regarding the correctness of their initial designs.
Better Quality in Synthesis through Quantitative Objectives
TLDR
It is shown how automata with lexicographic mean-payoff conditions can be used to express many interesting quantitative properties for reactive systems, and how quantitative properties to measure the "goodness" of an implementation are used.
Temporal Specifications with Accumulative Values
TLDR
This work shows 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.
High-Quality Synthesis Against Stochastic Environments
TLDR
The stochastic setting is introduced, where the goal is to generate a transducer that maximizes the expected quality of a computation, subject to a given distribution of the input signals.
Modalities for Model Checking: Branching Time Logic Strikes Back
Quantitative verification: models, techniques and tools
TLDR
The modelling approach is described and the usefulness of the methodology illustrated with an example of a real-world protocol standard - Bluetooth device discovery - that has been analysed using the PRISM model checker.
...
...