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@article{DBLP:journals/symmetry/Fiori22,
  author       = {Simone G. O. Fiori},
  title        = {Manifold Calculus in System Theory and Control - Second Order Structures
                  and Systems},
  journal      = {Symmetry},
  volume       = {14},
  number       = {6},
  pages        = {1144},
  year         = {2022},
  url          = {https://doi.org/10.3390/sym14061144},
  doi          = {10.3390/SYM14061144},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/symmetry/Fiori22.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fossacs/Laird20,
  author       = {James Laird},
  editor       = {Jean Goubault{-}Larrecq and
                  Barbara K{\"{o}}nig},
  title        = {A Curry-style Semantics of Interaction: From Untyped to Second-Order
                  Lazy {\(\lambda\)} {\(\mu\)}-Calculus},
  booktitle    = {Foundations of Software Science and Computation Structures - 23rd
                  International Conference, {FOSSACS} 2020, Held as Part of the European
                  Joint Conferences on Theory and Practice of Software, {ETAPS} 2020,
                  Dublin, Ireland, April 25-30, 2020, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {12077},
  pages        = {422--441},
  publisher    = {Springer},
  year         = {2020},
  url          = {https://doi.org/10.1007/978-3-030-45231-5\_22},
  doi          = {10.1007/978-3-030-45231-5\_22},
  timestamp    = {Fri, 14 May 2021 08:34:11 +0200},
  biburl       = {https://dblp.org/rec/conf/fossacs/Laird20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcma/NaitoY19a,
  author       = {Riu Naito and
                  Toshihiro Yamada},
  title        = {A second-order discretization for forward-backward SDEs using local
                  approximations with Malliavin calculus},
  journal      = {Monte Carlo Methods Appl.},
  volume       = {25},
  number       = {4},
  pages        = {341--361},
  year         = {2019},
  url          = {https://doi.org/10.1515/mcma-2019-2053},
  doi          = {10.1515/MCMA-2019-2053},
  timestamp    = {Fri, 03 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mcma/NaitoY19a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/pacmpl/Hamana17,
  author       = {Makoto Hamana},
  title        = {How to prove your calculus is decidable: practical applications of
                  second-order algebraic theories and computation},
  journal      = {Proc. {ACM} Program. Lang.},
  volume       = {1},
  number       = {{ICFP}},
  pages        = {22:1--22:28},
  year         = {2017},
  url          = {https://doi.org/10.1145/3110266},
  doi          = {10.1145/3110266},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/pacmpl/Hamana17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fss/LahavA15,
  author       = {Ori Lahav and
                  Arnon Avron},
  title        = {A cut-free calculus for second-order G{\"{o}}del logic},
  journal      = {Fuzzy Sets Syst.},
  volume       = {276},
  pages        = {1--30},
  year         = {2015},
  url          = {https://doi.org/10.1016/j.fss.2015.01.017},
  doi          = {10.1016/J.FSS.2015.01.017},
  timestamp    = {Fri, 22 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fss/LahavA15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0030812,
  author       = {Nikolai P. Osmolovskii and
                  Helmut Maurer},
  title        = {Applications to Regular and Bang-Bang Control - Second-Order Necessary
                  and Sufficient Optimality Conditions in Calculus of Variations and
                  Optimal Control},
  series       = {Advances in design and control},
  volume       = {24},
  publisher    = {{SIAM}},
  year         = {2012},
  url          = {https://doi.org/10.1137/1.9781611972368},
  doi          = {10.1137/1.9781611972368},
  isbn         = {978-1-611-97235-1},
  timestamp    = {Tue, 16 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/daglib/0030812.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fuin/GadducciLV12,
  author       = {Fabio Gadducci and
                  Alberto Lluch{-}Lafuente and
                  Andrea Vandin},
  title        = {Counterpart Semantics for a Second-Order {\(\mu\)}-Calculus},
  journal      = {Fundam. Informaticae},
  volume       = {118},
  number       = {1-2},
  pages        = {177--205},
  year         = {2012},
  url          = {https://doi.org/10.3233/FI-2012-709},
  doi          = {10.3233/FI-2012-709},
  timestamp    = {Fri, 18 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fuin/GadducciLV12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamjo/MordukhovichR12,
  author       = {Boris S. Mordukhovich and
                  R. Tyrrell Rockafellar},
  title        = {Second-Order Subdifferential Calculus with Applications to Tilt Stability
                  in Optimization},
  journal      = {{SIAM} J. Optim.},
  volume       = {22},
  number       = {3},
  pages        = {953--986},
  year         = {2012},
  url          = {https://doi.org/10.1137/110852528},
  doi          = {10.1137/110852528},
  timestamp    = {Mon, 08 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/siamjo/MordukhovichR12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cade/LeitschL12,
  author       = {Alexander Leitsch and
                  Tomer Libal},
  editor       = {Pascal Fontaine and
                  Renate A. Schmidt and
                  Stephan Schulz},
  title        = {A Resolution Calculus for Second-order Logic with Eager Unification},
  booktitle    = {Third Workshop on Practical Aspects of Automated Reasoning, PAAR-2012,
                  Manchester, UK, June 30 - July 1, 2012},
  series       = {EPiC Series in Computing},
  volume       = {21},
  pages        = {95},
  publisher    = {EasyChair},
  year         = {2012},
  url          = {https://doi.org/10.29007/zpg2},
  doi          = {10.29007/ZPG2},
  timestamp    = {Sun, 15 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/cade/LeitschL12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/hpsc/Kurina12,
  author       = {Galina A. Kurina},
  editor       = {Hans Georg Bock and
                  Hoang Xuan Phu and
                  Rolf Rannacher and
                  Johannes P. Schl{\"{o}}der},
  title        = {Inverse Problem of the Calculus of Variations for Second Order Differential
                  Equations with Deviating Arguments},
  booktitle    = {Modeling, Simulation and Optimization of Complex Processes - {HPSC}
                  2012, Proceedings of the Fifth International Conference on High Performance
                  Scientific Computing, March 5-9, 2012, Hanoi, Vietnam},
  pages        = {109--119},
  publisher    = {Springer},
  year         = {2012},
  url          = {https://doi.org/10.1007/978-3-319-09063-4\_9},
  doi          = {10.1007/978-3-319-09063-4\_9},
  timestamp    = {Fri, 26 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/hpsc/Kurina12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/concur/GianantonioJL10,
  author       = {Pietro Di Gianantonio and
                  Svetlana Jaksic and
                  Marina Lenisa},
  editor       = {Paul Gastin and
                  Fran{\c{c}}ois Laroussinie},
  title        = {Efficient Bisimilarities from Second-Order Reaction Semantics for
                  \emph{pi}-Calculus},
  booktitle    = {{CONCUR} 2010 - Concurrency Theory, 21th International Conference,
                  {CONCUR} 2010, Paris, France, August 31-September 3, 2010. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {6269},
  pages        = {358--372},
  publisher    = {Springer},
  year         = {2010},
  url          = {https://doi.org/10.1007/978-3-642-15375-4\_25},
  doi          = {10.1007/978-3-642-15375-4\_25},
  timestamp    = {Tue, 14 May 2019 10:00:43 +0200},
  biburl       = {https://dblp.org/rec/conf/concur/GianantonioJL10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dlog/ColucciNSDR10,
  author       = {Simona Colucci and
                  Tommaso Di Noia and
                  Eugenio Di Sciascio and
                  Francesco M. Donini and
                  Azzurra Ragone},
  editor       = {Volker Haarslev and
                  David Toman and
                  Grant E. Weddell},
  title        = {Second-Order Description Logics: Semantics, Motivation, and a Calculus},
  booktitle    = {Proceedings of the 23rd International Workshop on Description Logics
                  {(DL} 2010), Waterloo, Ontario, Canada, May 4-7, 2010},
  series       = {{CEUR} Workshop Proceedings},
  volume       = {573},
  publisher    = {CEUR-WS.org},
  year         = {2010},
  url          = {https://ceur-ws.org/Vol-573/paper\_41.pdf},
  timestamp    = {Fri, 10 Mar 2023 16:23:17 +0100},
  biburl       = {https://dblp.org/rec/conf/dlog/ColucciNSDR10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/gg/GadducciLV10,
  author       = {Fabio Gadducci and
                  Alberto Lluch{-}Lafuente and
                  Andrea Vandin},
  editor       = {Hartmut Ehrig and
                  Arend Rensink and
                  Grzegorz Rozenberg and
                  Andy Sch{\"{u}}rr},
  title        = {Counterpart Semantics for a Second-Order \emph{{\(\mathrm{\mu}\)}}-Calculus},
  booktitle    = {Graph Transformations - 5th International Conference, {ICGT} 2010,
                  Enschede, The Netherlands, September 27 - - October 2, 2010. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {6372},
  pages        = {282--297},
  publisher    = {Springer},
  year         = {2010},
  url          = {https://doi.org/10.1007/978-3-642-15928-2\_19},
  doi          = {10.1007/978-3-642-15928-2\_19},
  timestamp    = {Mon, 15 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/gg/GadducciLV10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0906-2727,
  author       = {Pietro Di Gianantonio and
                  Furio Honsell and
                  Marina Lenisa},
  title        = {RPO, Second-order Contexts, and Lambda-calculus},
  journal      = {Log. Methods Comput. Sci.},
  volume       = {5},
  number       = {3},
  year         = {2009},
  url          = {http://arxiv.org/abs/0906.2727},
  timestamp    = {Thu, 25 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-0906-2727.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/ColsonM09,
  author       = {Lo{\"{\i}}c Colson and
                  David Michel},
  title        = {Pedagogical second-order lambda-calculus},
  journal      = {Theor. Comput. Sci.},
  volume       = {410},
  number       = {42},
  pages        = {4190--4203},
  year         = {2009},
  url          = {https://doi.org/10.1016/j.tcs.2009.04.020},
  doi          = {10.1016/J.TCS.2009.04.020},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tcs/ColsonM09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fossacs/GianantonioHL08,
  author       = {Pietro Di Gianantonio and
                  Furio Honsell and
                  Marina Lenisa},
  editor       = {Roberto M. Amadio},
  title        = {RPO, Second-Order Contexts, and lambda-Calculus},
  booktitle    = {Foundations of Software Science and Computational Structures, 11th
                  International Conference, {FOSSACS} 2008, Held as Part of the Joint
                  European Conferences on Theory and Practice of Software, {ETAPS} 2008,
                  Budapest, Hungary, March 29 - April 6, 2008. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {4962},
  pages        = {334--349},
  publisher    = {Springer},
  year         = {2008},
  url          = {https://doi.org/10.1007/978-3-540-78499-9\_24},
  doi          = {10.1007/978-3-540-78499-9\_24},
  timestamp    = {Tue, 14 May 2019 10:00:55 +0200},
  biburl       = {https://dblp.org/rec/conf/fossacs/GianantonioHL08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aml/CookM05,
  author       = {Stephen A. Cook and
                  Tsuyoshi Morioka},
  title        = {Quantified propositional calculus and a second-order theory for NC\({}^{\mbox{1}}\)},
  journal      = {Arch. Math. Log.},
  volume       = {44},
  number       = {6},
  pages        = {711--749},
  year         = {2005},
  url          = {https://doi.org/10.1007/s00153-005-0282-2},
  doi          = {10.1007/S00153-005-0282-2},
  timestamp    = {Sat, 27 May 2017 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/aml/CookM05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tocl/AehligJ05,
  author       = {Klaus Aehlig and
                  Jan Johannsen},
  title        = {An elementary fragment of second-order lambda calculus},
  journal      = {{ACM} Trans. Comput. Log.},
  volume       = {6},
  number       = {2},
  pages        = {468--480},
  year         = {2005},
  url          = {https://doi.org/10.1145/1055686.1055695},
  doi          = {10.1145/1055686.1055695},
  timestamp    = {Tue, 06 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tocl/AehligJ05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fuin/JaninL04,
  author       = {David Janin and
                  Giacomo Lenzi},
  title        = {On the Rlationship Between Monadic and Weak Monadic Second Order Logic
                  on Arbitrary Trees, with Applications to the mu-Calculus},
  journal      = {Fundam. Informaticae},
  volume       = {61},
  number       = {3-4},
  pages        = {247--265},
  year         = {2004},
  url          = {http://content.iospress.com/articles/fundamenta-informaticae/fi61-3-4-04},
  timestamp    = {Fri, 18 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fuin/JaninL04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iandc/Yamagata04,
  author       = {Yoriyuki Yamagata},
  title        = {Strong normalization of the second-order symmetric lambda mu -calculus},
  journal      = {Inf. Comput.},
  volume       = {193},
  number       = {1},
  pages        = {1--20},
  year         = {2004},
  url          = {https://doi.org/10.1016/j.ic.2004.04.002},
  doi          = {10.1016/J.IC.2004.04.002},
  timestamp    = {Sun, 25 Jul 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/iandc/Yamagata04.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/aml/Yamagata02,
  author       = {Yoriyuki Yamagata},
  title        = {Strong normalization of a symmetric lambda calculus for second-order
                  classical logic},
  journal      = {Arch. Math. Log.},
  volume       = {41},
  number       = {1},
  pages        = {91--99},
  year         = {2002},
  url          = {https://doi.org/10.1007/s001530200007},
  doi          = {10.1007/S001530200007},
  timestamp    = {Sun, 25 Jul 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/aml/Yamagata02.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/cs-LO-0210022,
  author       = {Klaus Aehlig and
                  Jan Johannsen},
  title        = {An Elementary Fragment of Second-Order Lambda Calculus},
  journal      = {CoRR},
  volume       = {cs.LO/0210022},
  year         = {2002},
  url          = {https://arxiv.org/abs/cs/0210022},
  timestamp    = {Fri, 10 Jan 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/cs-LO-0210022.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dagstuhl/Rohde01,
  author       = {Philipp Rohde},
  editor       = {Erich Gr{\"{a}}del and
                  Wolfgang Thomas and
                  Thomas Wilke},
  title        = {Expressive Power of Monadic Second-Order Logic and Modal {\(\mathrm{\mu}\)}-Calculus},
  booktitle    = {Automata, Logics, and Infinite Games: {A} Guide to Current Research
                  [outcome of a Dagstuhl seminar, February 2001]},
  series       = {Lecture Notes in Computer Science},
  volume       = {2500},
  pages        = {239--257},
  publisher    = {Springer},
  year         = {2001},
  url          = {https://doi.org/10.1007/3-540-36387-4\_14},
  doi          = {10.1007/3-540-36387-4\_14},
  timestamp    = {Tue, 14 May 2019 10:00:51 +0200},
  biburl       = {https://dblp.org/rec/conf/dagstuhl/Rohde01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/tacs/Yamagata01,
  author       = {Yoriyuki Yamagata},
  editor       = {Naoki Kobayashi and
                  Benjamin C. Pierce},
  title        = {Strong Normalization of Second Order Symmetric Lambda-mu Calculus},
  booktitle    = {Theoretical Aspects of Computer Software, 4th International Symposium,
                  {TACS} 2001, Sendai, Japan, October 29-31, 2001, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {2215},
  pages        = {459--467},
  publisher    = {Springer},
  year         = {2001},
  url          = {https://doi.org/10.1007/3-540-45500-0\_23},
  doi          = {10.1007/3-540-45500-0\_23},
  timestamp    = {Sun, 25 Jul 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/tacs/Yamagata01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/tlca/Matthes01,
  author       = {Ralph Matthes},
  editor       = {Samson Abramsky},
  title        = {Parigot's Second Order lambda-mu-Calculus and Inductive Types},
  booktitle    = {Typed Lambda Calculi and Applications, 5th International Conference,
                  {TLCA} 2001, Krakow, Poland, May 2-5, 2001, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {2044},
  pages        = {329--343},
  publisher    = {Springer},
  year         = {2001},
  url          = {https://doi.org/10.1007/3-540-45413-6\_26},
  doi          = {10.1007/3-540-45413-6\_26},
  timestamp    = {Sat, 07 Sep 2019 11:59:25 +0200},
  biburl       = {https://dblp.org/rec/conf/tlca/Matthes01.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fsttcs/Parigot00,
  author       = {Michel Parigot},
  editor       = {Sanjiv Kapoor and
                  Sanjiva Prasad},
  title        = {Strong Normalization of Second Order Symmetric lambda-Calculus},
  booktitle    = {Foundations of Software Technology and Theoretical Computer Science,
                  20th Conference, {FST} {TCS} 2000 New Delhi, India, December 13-15,
                  2000, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {1974},
  pages        = {442--453},
  publisher    = {Springer},
  year         = {2000},
  url          = {https://doi.org/10.1007/3-540-44450-5\_36},
  doi          = {10.1007/3-540-44450-5\_36},
  timestamp    = {Tue, 14 May 2019 10:00:51 +0200},
  biburl       = {https://dblp.org/rec/conf/fsttcs/Parigot00.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/apal/Gallier97a,
  author       = {Jean H. Gallier},
  title        = {Kripke Models and the (In)equational Logic of the Second-Order lambda-Calculus},
  journal      = {Ann. Pure Appl. Log.},
  volume       = {84},
  number       = {3},
  pages        = {257--316},
  year         = {1997},
  url          = {https://doi.org/10.1016/S0168-0072(96)00039-5},
  doi          = {10.1016/S0168-0072(96)00039-5},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/apal/Gallier97a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lfcs/Xi97,
  author       = {Hongwei Xi},
  editor       = {Sergei I. Adian and
                  Anil Nerode},
  title        = {Simulating eta-expansions with beta-reductions in the Second-Order
                  Polymorphic lambda-calculus},
  booktitle    = {Logical Foundations of Computer Science, 4th International Symposium,
                  LFCS'97, Yaroslavl, Russia, July 6-12, 1997, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {1234},
  pages        = {399--409},
  publisher    = {Springer},
  year         = {1997},
  url          = {https://doi.org/10.1007/3-540-63045-7\_40},
  doi          = {10.1007/3-540-63045-7\_40},
  timestamp    = {Tue, 14 May 2019 10:00:54 +0200},
  biburl       = {https://dblp.org/rec/conf/lfcs/Xi97.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/fac/Castagna96,
  author       = {Giuseppe Castagna},
  title        = {Integration of Parametric and "ad hoc" Second Order Polymorphism in
                  a Calculus with Subtyping},
  journal      = {Formal Aspects Comput.},
  volume       = {8},
  number       = {3},
  pages        = {247--293},
  year         = {1996},
  url          = {https://doi.org/10.1007/BF01214916},
  doi          = {10.1007/BF01214916},
  timestamp    = {Mon, 09 May 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/fac/Castagna96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/concur/JaninW96,
  author       = {David Janin and
                  Igor Walukiewicz},
  editor       = {Ugo Montanari and
                  Vladimiro Sassone},
  title        = {On the Expressive Completeness of the Propositional mu-Calculus with
                  Respect to Monadic Second Order Logic},
  booktitle    = {{CONCUR} '96, Concurrency Theory, 7th International Conference, Pisa,
                  Italy, August 26-29, 1996, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {1119},
  pages        = {263--277},
  publisher    = {Springer},
  year         = {1996},
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  doi          = {10.1007/3-540-61604-7\_60},
  timestamp    = {Tue, 14 May 2019 10:00:43 +0200},
  biburl       = {https://dblp.org/rec/conf/concur/JaninW96.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/iandc/Cosmo95,
  author       = {Roberto Di Cosmo},
  title        = {Second Order Isomorphic Types: {A} Proof Theoretic Study on Second
                  Order lambda-Calculus with Surjective Paring and Terminal Object},
  journal      = {Inf. Comput.},
  volume       = {119},
  number       = {2},
  pages        = {176--201},
  year         = {1995},
  url          = {https://doi.org/10.1006/inco.1995.1085},
  doi          = {10.1006/INCO.1995.1085},
  timestamp    = {Fri, 12 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iandc/Cosmo95.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/apal/Krivine94,
  author       = {Jean{-}Louis Krivine},
  title        = {Classical Logic, Storage Operators and Second-Order lambda-Calculus},
  journal      = {Ann. Pure Appl. Log.},
  volume       = {68},
  number       = {1},
  pages        = {53--78},
  year         = {1994},
  url          = {https://doi.org/10.1016/0168-0072(94)90047-7},
  doi          = {10.1016/0168-0072(94)90047-7},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/apal/Krivine94.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sLogica/Aarts94,
  author       = {Erik Aarts},
  title        = {Proving theorems of the second order Lambek calculus in polynominal
                  time},
  journal      = {Stud Logica},
  volume       = {53},
  number       = {3},
  pages        = {373--388},
  year         = {1994},
  url          = {https://doi.org/10.1007/BF01057934},
  doi          = {10.1007/BF01057934},
  timestamp    = {Tue, 01 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sLogica/Aarts94.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/esop/Boerio94,
  author       = {Luca Boerio},
  editor       = {Donald Sannella},
  title        = {Extending Pruning Techniques to Polymorphic Second order Lambda-Calculus},
  booktitle    = {Programming Languages and Systems - ESOP'94, 5th European Symposium
                  on Programming, Edinburgh, UK, April 11-13, 1994, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {788},
  pages        = {120--134},
  publisher    = {Springer},
  year         = {1994},
  url          = {https://doi.org/10.1007/3-540-57880-3\_8},
  doi          = {10.1007/3-540-57880-3\_8},
  timestamp    = {Tue, 14 May 2019 10:00:41 +0200},
  biburl       = {https://dblp.org/rec/conf/esop/Boerio94.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lfp/KfouryW94,
  author       = {A. J. Kfoury and
                  J. B. Wells},
  editor       = {Robert R. Kessler},
  title        = {A Direct Algorithm for Type Inference in the Rank-2 Fragment of the
                  Second-Order lambda-Calculus},
  booktitle    = {Proceedings of the 1994 {ACM} Conference on {LISP} and Functional
                  Programming, Orlando, Florida, USA, 27-29 June 1994},
  pages        = {196--207},
  publisher    = {{ACM}},
  year         = {1994},
  url          = {https://doi.org/10.1145/182409.182456},
  doi          = {10.1145/182409.182456},
  timestamp    = {Fri, 06 Aug 2021 15:08:55 +0200},
  biburl       = {https://dblp.org/rec/conf/lfp/KfouryW94.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lics/Wells94,
  author       = {J. B. Wells},
  title        = {Typability and Type-Checking in the Second-Order lambda-Calculus are
                  Equivalent and Undecidable},
  booktitle    = {Proceedings of the Ninth Annual Symposium on Logic in Computer Science
                  {(LICS} '94), Paris, France, July 4-7, 1994},
  pages        = {176--185},
  publisher    = {{IEEE} Computer Society},
  year         = {1994},
  url          = {https://doi.org/10.1109/LICS.1994.316068},
  doi          = {10.1109/LICS.1994.316068},
  timestamp    = {Fri, 24 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/lics/Wells94.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/acta/Thomsen93,
  author       = {Bent Thomsen},
  title        = {Plain {CHOCS:} {A} Second Generation Calculus for Higher Order Processes},
  journal      = {Acta Informatica},
  volume       = {30},
  number       = {1},
  pages        = {1--59},
  year         = {1993},
  url          = {https://doi.org/10.1007/BF01200262},
  doi          = {10.1007/BF01200262},
  timestamp    = {Sun, 21 Jun 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/acta/Thomsen93.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/ita/PollHE93,
  author       = {Erik Poll and
                  C. Hemerik and
                  Huub M. M. ten Eikelder},
  title        = {CPO-Models for Second Order Lambda Calculus with Recursive Types and
                  Subtyping},
  journal      = {{RAIRO} Theor. Informatics Appl.},
  volume       = {27},
  number       = {3},
  pages        = {221--260},
  year         = {1993},
  url          = {https://doi.org/10.1051/ita/1993270302211},
  doi          = {10.1051/ITA/1993270302211},
  timestamp    = {Mon, 25 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ita/PollHE93.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iandc/KfouryT92,
  author       = {A. J. Kfoury and
                  Jerzy Tiuryn},
  title        = {Type Reconstruction in Finite Rank Fragments of the Second-Order lambda-Calculus},
  journal      = {Inf. Comput.},
  volume       = {98},
  number       = {2},
  pages        = {228--257},
  year         = {1992},
  url          = {https://doi.org/10.1016/0890-5401(92)90020-G},
  doi          = {10.1016/0890-5401(92)90020-G},
  timestamp    = {Fri, 12 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iandc/KfouryT92.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/apal/Mendler91,
  author       = {Nax Paul Mendler},
  title        = {Inductive Types and Type Constraints in the Second-Order lambda Calculus},
  journal      = {Ann. Pure Appl. Log.},
  volume       = {51},
  number       = {1-2},
  pages        = {159--172},
  year         = {1991},
  url          = {https://doi.org/10.1016/0168-0072(91)90069-X},
  doi          = {10.1016/0168-0072(91)90069-X},
  timestamp    = {Sun, 24 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/apal/Mendler91.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mscs/Jacobs91,
  author       = {Bart Jacobs},
  title        = {Semantics of the Second Order Lambda Calculus},
  journal      = {Math. Struct. Comput. Sci.},
  volume       = {1},
  number       = {3},
  pages        = {327--360},
  year         = {1991},
  url          = {https://doi.org/10.1017/S0960129500001341},
  doi          = {10.1017/S0960129500001341},
  timestamp    = {Wed, 01 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mscs/Jacobs91.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iandc/BruceMM90,
  author       = {Kim B. Bruce and
                  Albert R. Meyer and
                  John C. Mitchell},
  title        = {The Semantics of Second-Order Lambda Calculus},
  journal      = {Inf. Comput.},
  volume       = {85},
  number       = {1},
  pages        = {76--134},
  year         = {1990},
  url          = {https://doi.org/10.1016/0890-5401(90)90044-I},
  doi          = {10.1016/0890-5401(90)90044-I},
  timestamp    = {Fri, 12 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iandc/BruceMM90.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ctcs/Jacobs89,
  author       = {Bart Jacobs},
  editor       = {David H. Pitt and
                  David E. Rydeheard and
                  Peter Dybjer and
                  Andrew M. Pitts and
                  Axel Poign{\'{e}}},
  title        = {On the Semantics of Second Order Lambda Calculus: From Bruce-Meyer-Mitchell
                  Models to Hyperdoctrine Models and Vice-Versa},
  booktitle    = {Category Theory and Computer Science, Manchester, UK, September 5-8,
                  1989, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {389},
  pages        = {198--212},
  publisher    = {Springer},
  year         = {1989},
  url          = {https://doi.org/10.1007/BFb0018353},
  doi          = {10.1007/BFB0018353},
  timestamp    = {Tue, 14 May 2019 10:00:48 +0200},
  biburl       = {https://dblp.org/rec/conf/ctcs/Jacobs89.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lics/Amadio88,
  author       = {Roberto M. Amadio},
  title        = {A fixed point extension of the second order lambda-calculus: observable
                  equivalences and models},
  booktitle    = {Proceedings of the Third Annual Symposium on Logic in Computer Science
                  {(LICS} '88), Edinburgh, Scotland, UK, July 5-8, 1988},
  pages        = {51--60},
  publisher    = {{IEEE} Computer Society},
  year         = {1988},
  url          = {https://doi.org/10.1109/LICS.1988.5100},
  doi          = {10.1109/LICS.1988.5100},
  timestamp    = {Fri, 24 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/lics/Amadio88.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/sLogica/Smirnov87,
  author       = {Vladimir A. Smirnov},
  title        = {Strict embedding of the elementary ontology into the monadic second-order
                  calculus of predicates admitting the empty individual domain},
  journal      = {Stud Logica},
  volume       = {46},
  number       = {1},
  pages        = {1--15},
  year         = {1987},
  url          = {https://doi.org/10.1007/BF00396902},
  doi          = {10.1007/BF00396902},
  timestamp    = {Mon, 28 Aug 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/sLogica/Smirnov87.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ctcs/Martini87,
  author       = {Simone Martini},
  editor       = {David H. Pitt and
                  Axel Poign{\'{e}} and
                  David E. Rydeheard},
  title        = {An Interval Model for Second-Order Lambda Calculus},
  booktitle    = {Category Theory and Computer Science, Edinburgh, UK, September 7-9,
                  1987, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {283},
  pages        = {219--237},
  publisher    = {Springer},
  year         = {1987},
  url          = {https://doi.org/10.1007/3-540-18508-9\_28},
  doi          = {10.1007/3-540-18508-9\_28},
  timestamp    = {Tue, 14 May 2019 10:00:48 +0200},
  biburl       = {https://dblp.org/rec/conf/ctcs/Martini87.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lics/Mendler87,
  author       = {Nax Paul Mendler},
  title        = {Recursive Types and Type Constraints in Second-Order Lambda Calculus},
  booktitle    = {Proceedings of the Symposium on Logic in Computer Science {(LICS}
                  '87), Ithaca, New York, USA, June 22-25, 1987},
  pages        = {30--36},
  publisher    = {{IEEE} Computer Society},
  year         = {1987},
  timestamp    = {Sun, 24 Sep 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/lics/Mendler87.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/lics/AmadioBL86,
  author       = {Roberto M. Amadio and
                  Kim B. Bruce and
                  Giuseppe Longo},
  title        = {The Finitary Projection Model for Second Order Lambda Calculus and
                  Solutions to Higher Order Domain Equations},
  booktitle    = {Proceedings of the Symposium on Logic in Computer Science {(LICS}
                  '86), Cambridge, Massachusetts, USA, June 16-18, 1986},
  pages        = {122--130},
  publisher    = {{IEEE} Computer Society},
  year         = {1986},
  timestamp    = {Thu, 22 Jan 2015 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/lics/AmadioBL86.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/apal/Scedrov84,
  author       = {Andrej Scedrov},
  title        = {On some non-classical extensions of second-order intuitionistic propositional
                  calculus},
  journal      = {Ann. Pure Appl. Log.},
  volume       = {27},
  number       = {2},
  pages        = {155--164},
  year         = {1984},
  url          = {https://doi.org/10.1016/0168-0072(84)90010-1},
  doi          = {10.1016/0168-0072(84)90010-1},
  timestamp    = {Fri, 21 Feb 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/apal/Scedrov84.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/focs/Mitchell84,
  author       = {John C. Mitchell},
  title        = {Semantic Models for Second-Order Lambda Calculus},
  booktitle    = {25th Annual Symposium on Foundations of Computer Science, West Palm
                  Beach, Florida, USA, 24-26 October 1984},
  pages        = {289--299},
  publisher    = {{IEEE} Computer Society},
  year         = {1984},
  url          = {https://doi.org/10.1109/SFCS.1984.715927},
  doi          = {10.1109/SFCS.1984.715927},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/focs/Mitchell84.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sdt/BruceM84,
  author       = {Kim B. Bruce and
                  Albert R. Meyer},
  editor       = {Gilles Kahn and
                  David B. MacQueen and
                  Gordon D. Plotkin},
  title        = {The Semantics of Second Order Polymorphic Lambda Calculus},
  booktitle    = {Semantics of Data Types, International Symposium, Sophia-Antipolis,
                  France, June 27-29, 1984, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {173},
  pages        = {131--144},
  publisher    = {Springer},
  year         = {1984},
  url          = {https://doi.org/10.1007/3-540-13346-1\_6},
  doi          = {10.1007/3-540-13346-1\_6},
  timestamp    = {Tue, 14 May 2019 10:00:38 +0200},
  biburl       = {https://dblp.org/rec/conf/sdt/BruceM84.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/mst/Stroock81,
  author       = {Daniel W. Stroock},
  title        = {The Malliavin Calculus and its Application to Second Order Parabolic
                  Differential Equations: Part {I}},
  journal      = {Math. Syst. Theory},
  volume       = {14},
  pages        = {25--65},
  year         = {1981},
  url          = {https://doi.org/10.1007/BF01752389},
  doi          = {10.1007/BF01752389},
  timestamp    = {Sun, 17 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mst/Stroock81.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/mst/Stroock81a,
  author       = {Daniel W. Stroock},
  title        = {The Malliavin Calculus and its Application to Second Order Parabolic
                  Differential Equations: Part {II}},
  journal      = {Math. Syst. Theory},
  volume       = {14},
  pages        = {141--171},
  year         = {1981},
  url          = {https://doi.org/10.1007/BF01752393},
  doi          = {10.1007/BF01752393},
  timestamp    = {Sun, 17 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mst/Stroock81a.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/cj/Allen66,
  author       = {B. T. Allen},
  title        = {An Investigation Into Direct Numerical Methods for Solving Some Calculus
                  of Variations Problems. Part 1 - Second Order Methods},
  journal      = {Comput. J.},
  volume       = {9},
  number       = {2},
  pages        = {205--210},
  year         = {1966},
  url          = {https://doi.org/10.1093/comjnl/9.2.205},
  doi          = {10.1093/COMJNL/9.2.205},
  timestamp    = {Mon, 20 May 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/cj/Allen66.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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@article{DBLP:journals/jsyml/Barcan47,
  author       = {Ruth C. Barcan},
  title        = {The Identity of Individuals in a Strict Functional Calculus of Second
                  Order},
  journal      = {J. Symb. Log.},
  volume       = {12},
  number       = {1},
  pages        = {12--15},
  year         = {1947},
  url          = {https://doi.org/10.2307/2267171},
  doi          = {10.2307/2267171},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jsyml/Barcan47.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
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