The correctness can be independently verified via standard loop invariant proof steps, including initialization, maintenance, and termination. The proposed approach not only has a rigorous theoretical basis, but is also guaranteed to produce accurate invariants by removing spurious invariants that are ...
摘要: In this paper we discuss some of the problems in constructing and utilizing loop invariants for For-loops. Another kind of assertion, the loop post-invariant, is offered as an alternative to the loop invariant in designing, documenting and proving the correctness of For-loops....
Two new strategies for developing loop invariant and t heir application. Journal of Computer Science and Technology ,1993 ,8 (3) .Xue Jinyun.Two new strategies for developing loop invariant and their application. Journal of Computer Science and Technology . 1993Xue Jinyun.Two new strategies for ...
”Itdescribeshowtheinvariantsandthecorrespondingalgorithmshavebeenmechanicallyverifiedusinganautomatedprogramprover;theproofsourcefilesareavailable.Thecontributionsalsoincludesuggestionsforinvariantinferenceandformodel-basedspecification.CategoriesandSubjectDescriptors:D.2.4[Software/ProgramVerification]:Correctness...
Given its heritage, it is not surprising that the proof uses length–area. If A(ρ) is the area of {U < ρ}, then (Uη = ∂U/∂η) (19)∫U=ρ|dw|Uη=dAdρ, and this expression is invariant under conformal mappings. Now suppose ψ(w) were to map S to B(R) for some...
documentingandprov-ingthecorrectnessofFor-loops.1.IntroductionAloopinvariantisanassertionthatistruebe-foreandaftereachexecutionofthebodyoftheloop.Forexample,{Nosalarieshavebeenreadinyet.)HiSalary:=0.0;whilenotEofdo{Loopinvariant:HiSalarycontainsthehighestof}{allthesalariesreadinsofar.1beginReadLn(Salary);if...
Several topics in the loop-space formulation of non-Abelian gauge theories are considered. The basic objects dealt with are the unrenormalized dimensionally regularized gauge-invariant loop functions W(Ci;g, ε), where Ci is a set of loops, g is the unrenormalized coupling constant, and ε ...
(m: Map, k: u64) requires map_contains_key_opaque(m, k) { broadcast use axiom_map_contains_key_opaque; for i in 0..10 invariant map_contains_key_opaque(m, k) { assert(m.contains_key(k)) by { // broadcast use axiom_map_contains_key_opaque; // <== needs this to verify }...
Specifically, we find that surface soil moisture is scale invariant over regimes extending from a satellite footprint to 100 m. We use this evidence to calibrate a statistical downscaling algorithm that reproduces the scale invariance properties of soil moisture and test the approach against 1-km...
We prove that every functor defined on dg categories, which is derived Morita invariant, localizing, and1-homotopy invariant, satisfies the fundamental the... G Tabuada - Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology 被引量: 38发表: 2012年 String topol...