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Buch ; Online: A Type Checker for a Logical Framework with Union and Intersection Types

Liquori, Luigi / Stolze, Claude

2020

Abstract: We present the syntax, semantics, and typing rules of Bull, a prototype theorem prover based on the Delta-Framework, i.e. a fully-typed lambda-calculus decorated with union and intersection types, as described in previous papers by the authors. Bull also ...

Abstract	We present the syntax, semantics, and typing rules of Bull, a prototype theorem prover based on the Delta-Framework, i.e. a fully-typed lambda-calculus decorated with union and intersection types, as described in previous papers by the authors. Bull also implements a subtyping algorithm for the Type Theory Xi of Barbanera-Dezani-de'Liguoro. Bull has a command-line interface where the user can declare axioms, terms, and perform computations and some basic terminal-style features like error pretty-printing, subexpressions highlighting, and file loading. Moreover, it can typecheck a proof or normalize it. These terms can be incomplete, therefore the typechecking algorithm uses unification to try to construct the missing subterms. Bull uses the syntax of Berardi's Pure Type Systems to improve the compactness and the modularity of the kernel. Abstract and concrete syntax are mostly aligned and similar to the concrete syntax of Coq. Bull uses a higher-order unification algorithm for terms, while typechecking and partial type inference are done by a bidirectional refinement algorithm, similar to the one found in Matita and Beluga. The refinement can be split into two parts: the essence refinement and the typing refinement. Binders are implemented using commonly-used de Bruijn indices. We have defined a concrete language syntax that will allow the user to write Delta-terms. We have defined the reduction rules and an evaluator. We have implemented from scratch a refiner which does partial typechecking and type reconstruction. We have experimented Bull with classical examples of the intersection and union literature, such as the ones formalized by Pfenning with his Refinement Types in LF. We hope that this research vein could be useful to experiment, in a proof theoretical setting, forms of polymorphism alternatives to Girard's parametric one.
Schlagwörter	Computer Science - Logic in Computer Science ; Computer Science - Programming Languages ; F.3.1 ; F.4.1
Thema/Rubrik (Code)	005
Erscheinungsdatum	2020-02-25
Erscheinungsland	us
Dokumenttyp	Buch ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Online: The Delta-calculus

Liquori, Luigi / Stolze, Claude

syntax and types

2018

Abstract: We present the Delta-calculus, an explicitly typed lambda-calculus with strong pairs, projections and explicit type coercions. The calculus can be parametrized with different intersection type theories T, e.g. the Coppo-Dezani, the Coppo-Dezani-Salle', ... ...

Abstract	We present the Delta-calculus, an explicitly typed lambda-calculus with strong pairs, projections and explicit type coercions. The calculus can be parametrized with different intersection type theories T, e.g. the Coppo-Dezani, the Coppo-Dezani-Salle', the Coppo-Dezani-Venneri and the Barendregt-Coppo-Dezani ones, producing a family of Delta-calculi with related intersection type systems. We prove the main properties like Church-Rosser, unicity of type, subject reduction, strong normalization, decidability of type checking and type reconstruction. We state the relationship between the intersection type assignment systems a` la Curry and the corresponding intersection type systems a` la Church by means of an essence function translating an explicitly typed Delta-term into a pure lambda-term one. We finally translate a Delta-term with type coercions into an equivalent one without them; the translation is proved to be coherent because its essence is the identity. The generic Delta-calculus can be parametrized to take into account other intersection type theories as the ones in the Barendregt et al. book.
Schlagwörter	Computer Science - Logic in Computer Science
Thema/Rubrik (Code)	005
Erscheinungsdatum	2018-03-26
Erscheinungsland	us
Dokumenttyp	Buch ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract: This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in ... ...

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-11
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Guillemin, Patrick / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-05
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Guillemin, Patrick / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-05
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Guillemin, Patrick / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-05
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-11
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-11
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-11
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Buch ; Artikel ; Online: Asynchronous Contact Tracing

Liquori, Luigi / Wood, Suno / Guillemin, Patrick / Scarrone, Enrico

https://hal.inria.fr/hal-02989404 ; 2020

2020

Abstract	This document examines the use of IoT technology in contact tracing and introduces the concept of Asynchronous Contact Tracing (ACT). ACT identifies contacts with IoT connected objects that have been contaminated by the SARS-CoV-2 virus and works in synergy with solutions designed for manual contact tracing to identify and alert people who may have been infected by the virus. This shifts the paradigm from synchronously tracing the contacts of the people infected by Covid-19 to asynchronously tracing of contacts of materials (such as infected surfaces, waste water, air conditioning filters, etc.) that are hosting the SARS-CoV-2 virus. This enables people who have come into contact asynchronously with those particular materials to be alerted of a potential Covid-19 contagion, and, at the same time, it signals that one or more persons have been in contact with the material which is now spreading the SARS-CoV-2 virus. This process could be particularly effective, considering that the SARS-CoV-2 virus can survive for a significant time on certain materials. The level of contamination may on the nature of the surface and materials, the concentration of the virus, the ambient temperature, the season of the year, the level of humidity, and exposure to sun light. The period of contamination can span from a few hours to several days. The ACT process uses existing, ready-to-market IoT-based technology and well-established wireless network techniques. The process is not dependent on achieving a certain number of tests, or of people adopting it, in order for the results to be useful. Moreover, it does not require the transmission of any personal information by the user, thus respecting both EU GDPR and public sensibility to personal privacy. This process was inspired by Occam's Razor [5] or the Law of Parsimony (Latin: Lex Parsimoniae), that states that entities and theories useful to solve a problem should not be multiplied unless necessary. On the contrary, simpler entities and theories are preferable to more complex ones because they are easier to test and more likely to be true.
Schlagwörter	[INFO]Computer Science [cs] ; [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases ; covid19
Thema/Rubrik (Code)	600
Sprache	Englisch
Erscheinungsdatum	2020-11-05
Verlag	HAL CCSD
Erscheinungsland	fr
Dokumenttyp	Buch ; Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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