A Separation Logic for a Promising Semantics

We present SLR, the first expressive program logic for reason- ing about concurrent programs under a weak memory model addressing the out-of-thin-air problem. Our logic includes the standard features from existing logics, such as RSL and GPS, that were previously known to be sound only under stronger memory models: (1) separation, (2) per-location invariants, and (3) ownership transfer via release-acquire synchronisation—as well as novel features for reasoning about (4) the absence of out-of-thin-air behaviours and (5) coherence. The logic is proved sound over the recent “promising” memory model of Kang et al., using a substantially different argument to soundness proofs of logics for simpler memory models.The research was supported in part by the Danish Council for Independent Research (project DFF – 4181-00273), by a European Research Council Consolidator Grant for the project “RustBelt” (grant agreement no. 683289), and by Len Blavatnik and the Blavatnik Family foundation

Transfinite Step-Indexing: Decoupling Concrete and Logical Steps

International audienceStep-indexing has proven to be a powerful technique for defining logical relations for languages with advanced type systems and models of expressive program logics. In both cases, the model is stratified using natural numbers to solve a recursive equation that has no naive solutions. As a result of this stratification, current models require that each unfolding of the recursive equation – each logical step – must coincide with a concrete reduction step. This tight coupling is problematic for applications where the number of logical steps cannot be statically bounded. In this paper we demonstrate that this tight coupling between logical and concrete steps is artificial and show how to loosen it using transfinite step-indexing. We present a logical relation that supports an arbitrary but finite number of logical steps for each concrete step

Myocardial Work in Patients Hospitalized With COVID‐19:Relation to Biomarkers, COVID‐19 Severity, and All‐Cause Mortality

BACKGROUND: COVID‐19 infection has been hypothesized to affect left ventricular function; however, the underlying mechanisms and the association to clinical outcome are not understood. The global work index (GWI) is a novel echocardiographic measure of systolic function that may offer insights on cardiac dysfunction in COVID‐19. We hypothesized that GWI was associated with disease severity and all‐cause death in patients with COVID‐19. METHODS AND RESULTS: In a multicenter study of patients admitted with COVID‐19 (n=305), 249 underwent pressure‐strain loop analyses to quantify GWI at a median time of 4 days after admission. We examined the association of GWI to cardiac biomarkers (troponin and NT‐proBNP [N‐terminal pro‐B‐type natriuretic peptide]), disease severity (oxygen requirement and CRP [C‐reactive protein]), and all‐cause death. Patients with elevated troponin (n=71) exhibited significantly reduced GWI (1508 versus 1707 mm Hg%; P=0.018). A curvilinear association to NT‐proBNP was observed, with increasing NT‐proBNP once GWI decreased below 1446 mm Hg%. Moreover, GWI was significantly associated with a higher oxygen requirement (relative increase of 6% per 100–mm Hg% decrease). No association was observed with CRP. Of the 249 patients, 37 died during follow‐up (median, 58 days). In multivariable Cox regression, GWI was associated with all‐cause death (hazard ratio, 1.08 [95% CI, 1.01–1.15], per 100–mm Hg% decrease), but did not increase C‐statistics when added to clinical parameters. CONCLUSIONS: In patients admitted with COVID‐19, our findings indicate that NT‐proBNP and troponin may be associated with lower GWI, whereas CRP is not. GWI was independently associated with all‐cause death, but did not provide prognostic information beyond readily available clinical parameters. REGISTRATION: URL: https://www.clinicaltrials.gov; Unique identifier: NCT04377035