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Abella: A System for Reasoning about Relational Specifications

David Baelde, Kaustuv Chaudhuri, Andrew Gacek, Dale Miller, Gopalan Nadathur, Alwen Tiu, Yuting Wang
2015 Journal of Formalized Reasoning  
quantifier, and nominal constants for reasoning about these representations.  ...  The Abella interactive theorem prover is based on an intuitionistic logic that allows for inductive and co-inductive reasoning over relations.  ...  Acknowledgements: We thank Andrea Asperti, Roberto Blanco, Zakaria Chihani and Claudio Sacerdoti Coen for their comments on drafts of this tutorial.  ... 
doi:10.6092/issn.1972-5787/4650 dblp:journals/jfrea/BaeldeCGMNTW14 fatcat:k7smnc5yjjfkrit66vn7qp6uqa

The Abella Interactive Theorem Prover (System Description) [article]

Andrew Gacek
2008 arXiv   pre-print
Abella is an interactive system for reasoning about aspects of object languages that have been formally presented through recursive rules based on syntactic structure.  ...  Abella utilizes a two-level logic approach to specification and reasoning.  ...  Acknowledgements I am grateful to David Baelde, Dale Miller, Gopalan Nadathur, Randy Pollack, and Alwen Tiu for their input and feedback on the development of Abella.  ... 
arXiv:0803.2305v2 fatcat:taby5swi6ngerbe6wub6gqmdgq

Schematic Polymorphism in the Abella Proof Assistant [article]

Gopalan Nadathur, Yuting Wang
2018 arXiv   pre-print
The Abella interactive theorem prover has proven to be an effective vehicle for reasoning about relational specifications.  ...  Our ideas, which have been implemented in an updated version of the system, accommodate schematic polymorphism both in the core logic of Abella and in the executable specification logic that it embeds.  ...  Embedding a Separate Specification Logic Relational specifications can be encoded and reasoned about directly using definitions in G.  ... 
arXiv:1806.07523v1 fatcat:ozrmkgjvbjfrveethoiveh3eie

Reasoning in Abella about Structural Operational Semantics Specifications

Andrew Gacek, Dale Miller, Gopalan Nadathur
2009 Electronical Notes in Theoretical Computer Science  
The approach to reasoning about structural operational semantics style specifications supported by the Abella system is discussed.  ...  Given a logic-based specification of a formal system, establishing properties of the system reduces to answering questions about what is provable in the logic encoding the specification.  ...  Introduction This paper concerns reasoning about the descriptions of systems that manipulate formal objects such as programs and their specifications.  ... 
doi:10.1016/j.entcs.2008.12.118 fatcat:x3yw42pvo5hypmocehkxaedaq4

Reasoning in Abella about Structural Operational Semantics Specifications [article]

Andrew Gacek, Dale Miller, Gopalan Nadathur
2008 arXiv   pre-print
The approach to reasoning about structural operational semantics style specifications supported by the Abella system is discussed.  ...  The utility of these various logical features in the Abella system is demonstrated through actual reasoning tasks. Brief comparisons with a few other logic based approaches are also made.  ...  Introduction This paper concerns reasoning about the descriptions of systems that manipulate formal objects such as programs and their specifications.  ... 
arXiv:0804.3914v2 fatcat:bnsokkntqbbujkfl4fl2kacx7a

Proof Pearl: Abella Formalization of λ-Calculus Cube Property [chapter]

Beniamino Accattoli
2012 Lecture Notes in Computer Science  
We re-interpret his work in Abella, a recent proof assistant based on higher-order abstract syntax and provided with a nominal quantifier.  ...  By revisiting Huet's approach and exploiting the features of Abella, we get a strikingly compact and natural development, which makes Huet's idea really shine.  ...  To Kaustuv Chaudhuri and David Baelde for help and discussions about HOAS and Abella. To Fabien Renaud, Stéphane Zimmermann, and the anonymous reviewers for suggesting useful improvements.  ... 
doi:10.1007/978-3-642-35308-6_15 fatcat:zh565wnymbhqxlcu5zpt5uy2ju

Automating the Proofs of Strengthening Lemmas in the Abella Proof Assistant [article]

Dawn Michaelson
2017 arXiv   pre-print
of a proof of the lemma and its incorporation into the collection of proven facts about a given specification.  ...  In logical reasoning, it is often the case that only some of a collection of assumptions are needed to reach a conclusion.  ...  The end result of this work is a new "tactic command" that can be invoked in the Abella system to check and then automatically generate proofs for strengthening lemmas about HOHH specifications.  ... 
arXiv:1705.09025v1 fatcat:okt3htceofatlhnkjw37bpzqby

Relating System F and Lambda2: A Case Study in Coq, Abella and Beluga

Jonas Kaiser, Brigitte Pientka, Gert Smolka, Marc Herbstritt
2017 International Conference on Rewriting Techniques and Applications  
A key challenge is the treatment of variable binding and contextual information. The formalisations all share the same high level proof structure using relations to connect the type systems.  ...  In Abella, we use higher-order abstract syntax (HOAS) and nominal constants of the ambient reasoning logic. In Beluga, we also use HOAS but within contextual modal type theory.  ...  We propose that our equivalence proof serves as a benchmark for reasoning about and relating multiple type systems and languages involving variable binding.  ... 
doi:10.4230/lipics.fscd.2017.21 dblp:conf/rta/KaiserPS17 fatcat:k3z3uux2grd4jnrzac7rpdtahu

Edu-Escape Rooms

Mario Grande-de-Prado, Sheila García-Martín, Roberto Baelo, Víctor Abella-García
2020 Encyclopedia  
When the Escape Rooms have a pedagogical purpose, they are usually called Edu-Escape Rooms and can be related to gamification and Game-Based Learning.  ...  The potential for student engagement and motivation is one of the main advantages of Edu-Escape Rooms.  ...  [29] propose a specific framework for creating educational Escape Rooms, the escapED framework, composed of six areas.  ... 
doi:10.3390/encyclopedia1010004 fatcat:houguhkednh6hleldo7aqjgzk4

'Recognisable Psychiatric Injury' and Tortious Compensability for Pure Mental Harm Claims in NegligenceSaadati v Moorhead [2017] 1 SCR 543(McLachlin CJ and Abella, Moldaver, Karakatsanis, Wagner, Gascon, Côté, Brown and Rowe JJ)

Ian Freckelton, Tina Popa
2018 Psychiatry, Psychology and Law  
This paper reviews the reasoning in the decision and considers its ramifications, concluding that while it is likely to extend the liability of defendants, this will occur only in a small cross-section  ...  of cases where a plaintiff exhibits significant symptomatology of a mental disorder albeit falling short of sufficient for an unequivocal diagnosis within the meaning DSM-5 or ICD-10.  ...  (DUO\ QRWLILFDWLRQ V\VWHP 6.57 The Panel received submissions about a system for early notification of claims.  ... 
doi:10.1080/13218719.2018.1525785 pmid:31984043 pmcid:PMC6818284 fatcat:srait24hvreibmbihegavf7d7y

Consumer Electronics Processors For Critical Real-Time Systems: A (Failed) Practical Experience

Gabriel Fernandez, Francisco J. Cazorla, Jaume Abella
2018 Zenodo  
WCET estimates for software running on this platform.  ...  Our theoretical and practical analysis reveals that some hardware features may not suit critical real-time needs, and restricted specifications and buggy documentation creates serious difficulties to derive  ...  Jaume Abella has been partially supported by the Ministry of Economy and Competitiveness under Ramon y Cajal postdoctoral fellowship number RYC-2013-14717.  ... 
doi:10.5281/zenodo.1199565 fatcat:l52wt56edzd3xhm2hedilkxpu4

Quantifying Ecosystem Geomorphology of the Southern Appalachian Mountains

Scott R. Abella
2003 Physical geography  
Geomorphology is a dominant factor influencing vegetation distribution in the southern Appalachians, and quantifying landform characteristics is increasingly important for forest ecosystem classification  ...  system at four study areas in the southern Appalachians.  ...  Acknowledgments: I thank Neil MacDonald, Albert Parker, and an anonymous reviewer for reviewing the manuscript.  ... 
doi:10.2747/0272-3646.24.6.488 fatcat:yyimx3xrwrdrpeeffh3oiystne


Sergi Alcaide, Carles Hernandez, Antoni Roca, Jaume Abella
2017 Proceedings of the 54th Annual Design Automation Conference 2017 on - DAC '17  
However, while qualitatively diversity is a well-understood concept, usable efficient metrics do not exist to quantify diversity in the context of safety-related systems.  ...  We relate it to the particular case of automotive microcontrollers implementing lockstep cores and show that it can be successfully used providing relevant information for addressing common cause faults  ...  Jaume Abella has been partially supported by the MINECO under Ramon y Cajal postdoctoral fellowship number RYC-2013-14717.  ... 
doi:10.1145/3061639.3062231 dblp:conf/dac/AlcaideHRA17 fatcat:2nngbegg3vgblk7r6kyp5it3gu

Motor content norms for 4,565 verbs in Spanish

Romina A. San Miguel Abella, María González-Nosti
2019 Behavior Research Methods  
Therefore, the aim of the present research was to develop a database of 4,565 verbs in Spanish through a survey filled out by 152 university students.  ...  The value for the motor content was obtained by calculating the average value from the answers of the participants.  ...  may be distributed through specific systems of multiple modalities, including the motor system, but that a reduction in sensorimotor information would mean that the processing will rely more on information  ... 
doi:10.3758/s13428-019-01241-1 pmid:30980347 fatcat:zyex6mmjvrc4ldcodrxwhq4sea

Covid-19: Open-Data Resources for Monitoring, Modeling, and Forecasting the Epidemic

Teodoro Alamo, Daniel G. Reina, Martina Mammarella, Alberto Abella
2020 Electronics  
We also describe several open resources to access Covid-19 datasets at a country-wide level (i.e., China, Italy, Spain, France, Germany, US, etc.).  ...  To facilitate the access to the main open-data portals and resources, we identify the most relevant institutions, on a global scale, providing Covid-19 information and/or auxiliary variables (demographics  ...  Acknowledgments: The authors belong to the CONCO-Team (CONtrol COvid19 Team) and would like to thank the rest of its members for their support (The composition and goals of CONCO-team can be found at https  ... 
doi:10.3390/electronics9050827 fatcat:4w73yehmmjaffi77jxdvfyoexi
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