A formal proof of modal completeness for provability logic

This work presents a formalized proof of modal completeness for G\"odel-L\"ob provability logic (GL) in the HOL Light theorem prover. We describe the code we developed, and discuss some details of our implementation, focusing on our choices in structuring proofs which make essential use of the tools of HOL Light and which differ in part from the standard strategies found in main textbooks covering the topic in an informal setting. Moreover, we propose a reflection on our own experience in using this specific theorem prover for this formalization task, with an analysis of pros and cons of reasoning within and about the formal system for GL we implemented in our code

A Tool for Real-Time GNSS Performance Analysis in Air Traffic Management

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HP-LT metamorphism in Elba Island: Implications for the geodynamic evolution of the inner Northern Apennines (Italy)

The inner Northern Apennines belt (i.e., northern Tyrrhenian Sea and Tuscany) is an Alpine chain affectedby high-P metamorphic conditions during its evolution. Although Elba Island is structurally located closeto the Adria-Europe suture zone, for several authors it represents a sector of the orogen affected bylow-P metamorphism. The involvement of Elba Island tectonic units in high-P metamorphism was onlysuspected for the sparse presence of phengitic white mica in the metasedimentary rocks. This paperpresents the first clear evidence of high-P and low-T metamorphism found in metabasite rocks embed-ded in the Cretaceous calcschist of eastern Elba Island. Mineral composition of metabasite includesGln + Cpx + Ep + Ab + Act + Qtz + Ilm ± Ti-oxide ± Spn and is indicative of a former equilibration in the epi-dote blueschist subfacies and subsequent retrogression in the greenschist facies. Recorded metamorphicconditions are P = 0.9–1.0 GPa and T = 330–350◦C. Tectonic discrimination using immobile elements inthe metabasite does not point to an oceanic setting. As a consequence, the metasedimentary succes-sion containing metabasite is explained as belonging to the Tuscan continental domain and not to theLigurian-Piedmont Ocean, as previously interpreted. Our results have two significant implications: (i)it is confirmed and strengthened that the tectonic stacking of the Elba Island units did not occur in alow-pressure context; (ii) Elba Island is now completely reconciled in the tectonic and metamorphicevolution of the inner Northern Apennines

Analysing Multiple QoS Attributes in Parallel Design Patterns-Based Applications

Parallel design patterns can be fruitfully combined to develop parallel software applications. Different combinations of patterns can feature different QoS while being functionally equivalent. To support application developers in selecting the best combinations of patterns to develop their applications, we hereby propose a probabilistic approach that permits analysing, at design time, multiple QoS attributes of parallel design patterns-based application. We also present a proof-of-concept implementation of our approach, together with some experimental results

Evaluation of the Incidence and Potential Mechanisms of Tracheal Complications in Patients With COVID-19

Full-thickness tracheal lesions and tracheoesophageal fistulas are severe complications of invasive mechanical ventilation. The incidence of tracheal complications in ventilated patients with coronavirus disease 2019 (COVID-19) is unknown