prover;theproofsourcefilesareavailable.Thecontributionsalsoincludesuggestionsforinvariantinference andformodel-basedspecification. CategoriesandSubjectDescriptors:D.2.4[Software/ProgramVerification]:CorrectnessProofs;F.3.1 [SpecifyingandVerifyingandReasoningaboutPrograms]:Invariants ...
Verifiers that can prove programs correct against their full functional\nspecification require, for programs with loops, additional annotations in the\nform of loop invariants---propeties that hold for every iteration of a loop. We\nshow that significant loop invariant candidates can be generated ...
Loop invariant 来自 ResearchGate 喜欢 0 阅读量: 4 作者: D Gries 摘要: Consider a loop while B do S, where B is a Boollean expression and S a statement. This form of loop appears in most modern high-level languages. Let P be some true-false statement about the variables of the ...
Another presentation of the problem is that of Pickrell (1987), where he obtains a family of quasi-invariant measures on Grassmannians. Given a family of measures (μt)t≥0 on the path space of a Riemannian manifold, one defines a heat operator as a family Ltt≥0 of operators depending...
Lemma 22 (Completeness with respect to effective variables) The invariant ideals of P and P coincide when restricted on the effective variables of P. That is, Inv(P) ∩ Q[E(P)] = Inv(P ) ∩ Q[E(P)]. Proof By the construction of P , every x ∈ E(P) is also a variable of ...
Werner, W.: The conformally invariant measure on self-avoiding loops. J. Am. Math. Soc. 21, 137–169 (2008) Article MathSciNet Google Scholar Zhan, D.: Optimal Hölder continuity and dimension properties for SLE with Minkowski content parametrization. Probab. Theory Relat. Fields 175, 447...
Still, if the path integral is to be invariant under group rotations, it is natural that such a factor should not depend on the background field g¯. For the Jacobian of the transformation (26), it is enough to note that the transformation is linear in fields. Next, we turn to the...
A closed-loop system identification method is developed to estimate the parameters of a single input single output (SISO) linear time invariant system (LTI) operating within a feedback loop. The method uses the reference command in addition to the input–output data and establishes a correlation ...
We have defined a permutation group 2S2n under which the metric is not invariant. This leads to all independent tensors appearing in the basis, except for the identity which is written separately. In the last step we used the orthogonality conditions for the dual transverse metrics, such that...
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