Wednesday, November 9, 2016

Papers about Constructive Modal Logics

I am trying to organize my papers  by subject, so that I can have a clear view of stuff I still want to do. I got hold of all Google Scholar knows about my publications and made it into a bib file and was pleasantly surprised to  find 126 "things". I could be much worse, I say. 

For work in constructive modal logic, it all started when Gavin and I had a paper that he presented in Amsterdam, in a conference called "Logic at Work", I think. I believe this was in 1992. Because publications sometimes get completely out of whack, this only appeared in a journal  in Studia Logica in 2000. For the time being, I  simply grab the list from Scholar, to mull it over.

1. Gavin M Bierman and V C V De Paiva. Intuitionistic necessity revisited. School of Computer Science Research Reports, University of Birmingham CSR, 1996. 
2. Neil Ghani, Valeria de Paiva, and Eike Ritter. Explicit substitutions for constructive necessity. In ICALP International Conference on Automata, Languages and Programming, 1998. 
3. P Nick Benton, Gavin M. Bierman, and Valeria CV de Paiva. Computational types from a logical perspective. Journal of Functional Programming, 8(02):177–193, 1998. 
4. Natasha Alechina, Valeria de Paiva, and Eike Ritter. Relating categorical and Kripke semantics for intuitionistic modal logics. In Proceedings of the Conference on Advances in Modal Logic (AIML’98), Uppsala, Sweden. CSLI, 1998.  (buggy, corrected in #7 below)
5. Gavin M. Bierman and Valeria C.V. de Paiva. On an intuitionistic modal logic. Studia Logica, 65(3):383–416, 2000. 
6. Gianluigi Bellin, Valeria de Paiva, and Eike Ritter. Extended Curry-Howard correspondence for a basic constructive modal logic. In Proceedings of Methods for Modalities, 2001. 
7. Natasha Alechina, Michael Mendler, Valeria de Paiva, and Eike Ritter. Categorical and Kripke semantics for constructive S4 modal logic. In  Computer Science Logic, pages 292–307. Springer Berlin Heidelberg, 2001. 
8. Valeria de Paiva. Natural deduction and context as (constructive) modality. In International and Interdisciplinary Conference on Modeling and Using Context, pages 116–129. Springer Berlin Heidelberg, 2003. 
9. Valeria de Paiva, Rajeev Gore, and Michael Mendler. Modalities in constructive logics and type theories. Journal of Logic and Computation, Special Issue, 2004. 
10. Michael Mendler and Valeria de Paiva. Constructive CK for contexts. In Proceedings of the first Workshop on Context Representation and Reasoning-CONTEXT05, Stanford, 2005. 
11. Valeria de Paiva. Constructive description logics: what, why and how. Context Representation and Reasoning, Riva del Garda, 2006. 
12. Valeria de Paiva and Eike Ritter. Basic constructive modality. Logic without frontiers: Festschrift for Walter Alexandre Carnielli on the occasion of his 60th birthday. College Publications, pages 411–428, 2011. 
13. Valeria de Paiva and Brigitte Pientka. Intuitionistic Modal Logic and Applications (IMLA 2008). Information and Computation, 209(12):1435–1436, 2011. 
14. Valeria de Paiva and Natasha Alechina. Contextual constructive description logics. ARCOE-11, page 16, 2011. 
15. Valeria de Paiva. Contexts for quantification. Proceedings of CommonSense, 2013. 
16. Valeria de Paiva, Mario Benevides, Vivek Nigam, and Elaine Pimentel. Proceedings of the 6th Workshop on Intuitionistic Modal Logic and Applications (IMLA 2013) in association with UNILOG 2013. Electronic Notes in Theoretical Computer Science, 300:1–104, 2014. 
17. Charles Stewart, Valeria de Paiva, and Natasha Alechina. Intuitionistic modal logic: A 15-year retrospective. Journal of Logic and Computation,  exv042, 2015. 

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