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% My bibliography for Categorical Semantics & Related Stuff % <U>pdated and <U>tf8-ed version, 2022mar10. % % Used by: % (find-LATEXgrep "grep --color -nH -e catsem-u *") % (find-LATEXfile "2017planar-has-1.tex" "catsem-u.bib") % (find-LATEXfile "2017biblatex.tex" "catsem-u.bib") % (find-LATEXfile "2017yoneda.tex" "catsem-u.bib") % % (find-angg "LATEX/catsem.bib") % (find-angg "LATEX/filters.bib") % (find-angg "LUA/bibtex.lua") % ftp://ftp.math.mcgill.ca/pub/rags/SeelyRAG.bib % ftp://ftp.imf.au.dk/pub/kock/KockA.bib % (find-sftpfile "ftp://ftp.cs.cmu.edu/user/jcr/ReynoldsJC.bib") % (find-shttpfile "hypatia.dcs.qmw.ac.uk/author/FreydPJ/bilbio.bib.html") % (find-es "tex" "bibtex") % (find-man "1 bibtex") % (find-efunction 'bibtex-mode) % (describe-bindings "\C-c\C-e") % (find-efunction 'bibtex-Book) % (find-efunction 'bibtex-entry) % (find-efile "textmodes/bibtex.el" "(easy-menu-define\n bibtex-edit-menu") % (find-efile "textmodes/bibtex.el" "(easy-menu-define\n bibtex-entry-menu") % «test» (to ".test") % (find-angg "LATEX/catsembibtest.tex") % (find-angg "LATEX/filters.bib") % (find-angg ".zshrc" "makebbl") % (find-angg ".zshrc" "makebblcites") % (find-zsh "cat catsem.bib | makebblcites") % (find-zsh "cat catsem.bib filters.bib | makebblcites") % (find-zsh "makebbl catsem.bbl catsem,filters; latex tmpbib.tex") % (find-zsh "makebbl catsem.bbl catsem,filters; pdflatex tmpbib.tex") % (find-dvipage "tmpbib.dvi" 1) % (find-pdf-page "~/LATEX/tmpbib.pdf") % (find-pdf-text "~/LATEX/tmpbib.pdf") % (find-fline "~/LATEX/catsem.bbl") % (find-LATEX "tmpbib.tex") % «.test» (to "test") % «.bib-Antipodes» (to "bib-Antipodes") % «.bib-Automath» (to "bib-Automath") % «.bib-Awodey» (to "bib-Awodey") % «.bib-BarbBera» (to "bib-BarbBera") % «.bib-Barendregt» (to "bib-Barendregt") % «.bib-BarrWells» (to "bib-BarrWells") % «.bib-BarrWellsCTCS» (to "bib-BarrWellsCTCS") % «.bib-Beck» (to "bib-Beck") % «.bib-BellLST» (to "bib-BellLST") % «.bib-BellSIA» (to "bib-BellSIA") % «.bib-Benabou» (to "bib-Benabou") % «.bib-Bentley» (to "bib-Bentley") % «.bib-Bernardy» (to "bib-Bernardy") % «.bib-Bootstrapping» (to "bib-Bootstrapping") % «.bib-BorceuxIII» (to "bib-BorceuxIII") % «.bib-Byers» (to "bib-Byers") % «.bib-CaccamoWinskel» (to "bib-CaccamoWinskel") % «.bib-CarnielliEpstein» (to "bib-CarnielliEpstein") % «.bib-ChagrovZakharyaschev» (to "bib-ChagrovZakharyaschev") % «.bib-ChengMorally» (to "bib-ChengMorally") % «.bib-CoeckeNewStruP» (to "bib-CoeckeNewStruP") % «.bib-CoeckePQP» (to "bib-CoeckePQP") % «.bib-Coq» (to "bib-Coq") % «.bib-Corfield» (to "bib-Corfield") % «.bib-DaveyPriestley» (to "bib-DaveyPriestley") % «.bib-Dummett» (to "bib-Dummett") % «.bib-Eilenberg» (to "bib-Eilenberg") % «.bib-Fitting» (to "bib-Fitting") % «.bib-FongSpivak» (to "bib-FongSpivak") % «.bib-Fourman» (to "bib-Fourman") % «.bib-Freyd76» (to "bib-Freyd76") % «.bib-FreydScedrov» (to "bib-FreydScedrov") % «.bib-Fritz» (to "bib-Fritz") % «.bib-GLT» (to "bib-GLT") % «.bib-Gentzen» (to "bib-Gentzen") % «.bib-GeuversPhD» (to "bib-GeuversPhD") % «.bib-GeuversSN» (to "bib-GeuversSN") % «.bib-Goedel» (to "bib-Goedel") % «.bib-Goldblatt» (to "bib-Goldblatt") % «.bib-Gratzer» (to "bib-Gratzer") % «.bib-Gray66» (to "bib-Gray66") % «.bib-HellerTierney» (to "bib-HellerTierney") % «.bib-Hesseling» (to "bib-Hesseling") % «.bib-HOTT» (to "bib-HOTT") % «.bib-Howard» (to "bib-Howard") % «.bib-HylandPitts» (to "bib-HylandPitts") % «.bib-Jacobs» (to "bib-Jacobs") % «.bib-Jamnik» (to "bib-Jamnik") % «.bib-Johnstone» (to "bib-Johnstone") % «.bib-JoyalStreet» (to "bib-JoyalStreet") % «.bib-Kamareddine» (to "bib-Kamareddine") % «.bib-KellyLack» (to "bib-KellyLack") % «.bib-Kock77» (to "bib-Kock77") % «.bib-Kock81» (to "bib-Kock81") % «.bib-Kromer» (to "bib-Kromer") % «.bib-LambekScott» (to "bib-LambekScott") % «.bib-LangAlgebra» (to "bib-LangAlgebra") % «.bib-Lavendhomme» (to "bib-Lavendhomme") % «.bib-Lawvere80» (to "bib-Lawvere80") % «.bib-LawvereAdjBicat» (to "bib-LawvereAdjBicat") % «.bib-LawvereAdjFo» (to "bib-LawvereAdjFo") % «.bib-LawvereEqHyp» (to "bib-LawvereEqHyp") % «.bib-LawvereRosebrugh» (to "bib-LawvereRosebrugh") % «.bib-LawvereSchanuel» (to "bib-LawvereSchanuel") % «.bib-LawvereThesis» (to "bib-LawvereThesis") % «.bib-Leinster» (to "bib-Leinster") % «.bib-Luo» (to "bib-Luo") % «.bib-Macbeth» (to "bib-Macbeth") % «.bib-MacLane» (to "bib-MacLane") % «.bib-MacLaneMoerdijk» (to "bib-MacLaneMoerdijk") % «.bib-Mancosu» (to "bib-Mancosu") % «.bib-MartinLof84» (to "bib-MartinLof84") % «.bib-MarsdenCTUSD» (to "bib-MarsdenCTUSD") % «.bib-McLarty» (to "bib-McLarty") % «.bib-MilewskiCTFPOCaml» (to "bib-MilewskiCTFPOCaml") % «.bib-ModalHandbook» (to "bib-ModalHandbook") % «.bib-MoeRey» (to "bib-MoeRey") % «.bib-NegriVonPlato» (to "bib-NegriVonPlato") % «.bib-Ochs» (to "bib-Ochs") % «.bib-PareSchumacher» (to "bib-PareSchumacher") % «.bib-Pavlovic» (to "bib-Pavlovic") % «.bib-Perrone» (to "bib-Perrone") % «.bib-Phoa» (to "bib-Phoa") % «.bib-Pitts» (to "bib-Pitts") % «.bib-Prawitz65» (to "bib-Prawitz65") % «.bib-PrawitzIRPF» (to "bib-PrawitzIRPF") % «.bib-Reyes» (to "bib-Reyes") % «.bib-Reynolds» (to "bib-Reynolds") % «.bib-Riehl» (to "bib-Riehl") % «.bib-Schalk» (to "bib-Schalk") % «.bib-SeelyBeck» (to "bib-SeelyBeck") % «.bib-SeelyCartDiff» (to "bib-SeelyCartDiff") % «.bib-SeelyDiff» (to "bib-SeelyDiff") % «.bib-SeelyLCCC» (to "bib-SeelyLCCC") % «.bib-SeelyPLC» (to "bib-SeelyPLC") % «.bib-SmithGalois» (to "bib-SmithGalois") % «.bib-Simmons» (to "bib-Simmons") % «.bib-Streicher» (to "bib-Streicher") % «.bib-Taylor» (to "bib-Taylor") % «.bib-ToHBCurry» (to "bib-ToHBCurry") % «.bib-VanDalen» (to "bib-VanDalen") % «.bib-WadlerGR» (to "bib-WadlerGR") % «.bib-WadlerTfF» (to "bib-WadlerTfF") % «.bib-WadlerPaT» (to "bib-WadlerPaT") % «.bib-WadlerSMBF» (to "bib-WadlerSMBF") % % «.bib-LuaGems» (to "bib-LuaGems") % % «.diagrams» (to "diagrams") % http://www.cl.cam.ac.uk/~amp12/bib/PittsAM.bib % «bib-Antipodes» (to ".bib-Antipodes") % (find-LATEX "filters.bib" "antipodes") % «bib-Automath» (to ".bib-Automath") % (find-books "__logic/__logic.el" "automath") @Book{Automath, editor = {R. P. Nederpelt and J. H. Geuvers and R. C. de Vrijer}, title = {Selected Papers on Automath}, publisher = {North-Holland}, year = {1994}, } % «bib-Awodey» (to ".bib-Awodey") % (find-books "__cats/__cats.el" "awodey") % OUP -> Clarendon @Book{Awodey, author = {S. Awodey}, title = {Category Theory}, publisher = {Oxford University Press}, year = {2006}, } % «bib-BarbBera» (to ".bib-BarbBera") % F. Barbanera and S. Berardi. Proof-irrelevance out of excluded-middle % and choice in the calculus of constructions. Journal of Functional % Programming, 6(3):519-525, May 1996. % @Article{BarbBera, author = {F. Barbanera and S. Berardi}, title = {Proof-irrelevance out of excluded-middle and choice in the calculus of constructions}, journal = {Journal of Functional Programming}, year = {1996}, volume = {6}, number = {3}, pages = {519--525}, month = {may}, } % «bib-Barendregt» (to ".bib-Barendregt") % H. Barendregt. Lambda Calculi with Types, Handbook of Logic in % Computer Science, Oxford University Press, Vol. 2, pp 117--309, 1992. % @InBook{Barendregt, author = {H. Barendregt}, title = {Handbook of Logic in Computer Science}, chapter = {Lambda Calculi with Types}, publisher = {Oxford University Press}, year = {1992}, volume = {2}, pages = {117--309}, } % «bib-BarrWells» (to ".bib-BarrWells") % (find-angg ".emacs.papers" "barr") % M. Barr and Ch. Wells. Toposes, Triples and Theories. Springer, % Berlin, 1985. % @Book{BarrWells, author = {M. Barr and C. Wells}, title = {Toposes, Triples and Theories}, publisher = {Springer}, year = {1985}, note = {\url{http://www.tac.mta.ca/tac/reprints/articles/12/tr12abs.html}}, } % «bib-BarrWellsCTCS» (to ".bib-BarrWellsCTCS") % (find-books "__cats/__cats.el" "barr-wells-ctcs") % @Book{BarrWellsCTCS, author = {M. Barr and C. Wells}, title = {Category Theory for Computing Science}, publisher = {TAC Reprints}, year = {2012}, } % «bib-Beck» (to ".bib-Beck") % (find-angg ".emacs.papers" "beck") % @PhdThesis{BeckPhDThesis, author = {J. M. Beck}, title = {Triples, Algebras and Cohomology}, school = {Columbia}, year = {1967}, note = {\url{http://www.tac.mta.ca/tac/reprints/articles/2/tr2abs.html}}, } % «bib-BellLST» (to ".bib-BellLST") % (find-books "__cats/__cats.el" "bell") % J. L. Bell. Toposes and Local Set Theories. volume 14 of Oxford Logic % Guides. Oxford University Press, 1988. % @Book{BellLST, author = {J. L. Bell}, title = {Toposes and Local Set Theories}, publisher = {Oxford University Press}, year = {1988}, number = {14}, series = {Oxford Logic Guides}, } % «bib-BellSIA» (to ".bib-BellSIA") % (find-books "__cats/__cats.el" "bell") @Book{BellSIA, author = {J. L. Bell}, title = {A Primer of Infinitesimal Analysis}, publisher = {Cambridge}, year = {2008}, } % «bib-Benabou» (to ".bib-Benabou") % (find-angg ".emacs.papers" "benabou") % @Article{Benabou, author = {J. Bénabou}, title = {Fibred Categories and the Foundations of Naive Category Theory}, journal = {Journal of Symbolic Logic}, year = {1985}, volume = {50}, number = {1}, pages = {10--37} } % «bib-Bentley» (to ".bib-Bentley") % (find-angg ".emacs.papers" "bentley") % Also in "More Programming Pearls", chapter 9, 83-100 % Addison-Wesley, 1988 % @Article{LittleLanguages, author = {J. Bentley}, title = {Little Languages}, journal = {CACM [Fix This]}, year = {1977}, } % «bib-Bernardy» (to ".bib-Bernardy") % http://www.cse.chalmers.se/~bernardy/ParDep/pardep.pdf % http://www.cse.chalmers.se/~bernardy/#publications % @Article{Bernardy10, author = {J. P. Bernardy and P. Jansson and R. Paterson}, title = {Parametricity and dependent types}, journal = {International Conference on Functional Programming}, year = {2010}, note = {\url{http://www.cse.chalmers.se/~bernardy/ParDep/pardep.pdf}}, } % «bib-Bootstrapping» (to ".bib-Bootstrapping") % (to "bib-LuaGems") % (find-TH "luaforth") % (find-TH "miniforth-article") % http://www.lua.org/gems/ % (find-kopkadaly4page (+ 12 319) "Index") % (find-kopkadaly4text) % @InProceedings{Bootstrapping, crossref = {LuaGems}, author = {E. Ochs}, title = {Bootstrapping a Forth in 40 Lines of Lua Code}, chapter = {6}, } % «bib-BorceuxIII» (to ".bib-BorceuxIII") % (find-books "__cats/__cats.el" "borceux") % @Book{BorceuxIII, author = {F. Borceux}, title = {Handbook of Categorical Algebra III: Categories of Sheaves}, publisher = {Cambridge}, year = {1994}, volume = {52}, series = {Encyclopedia of Mathematics and its Applications} } % «bib-Byers» (to ".bib-Byers") % (find-books "__phil/__phil.el" "byers") % @Book{Byers, author = {W. Byers}, title = {How Mathematicians Think}, publisher = {Princeton}, year = {2007}, } % «bib-CaccamoWinskel» (to ".bib-CaccamoWinskel") % (find-books "__cats/__cats.el" "caccamo-winskel") % @Unpublished{CaccamoWinskel, author = {M. J. Caccamo and G. Winskel}, title = {A Higher-Order Calculus for Categories}, note = {\url{https://www.brics.dk/RS/01/27/BRICS-RS-01-27.pdf}}, year = {2001}, } % «bib-CarnielliEpstein» (to ".bib-CarnielliEpstein") % @Book{CarnielliEpstein06, author = {W. Carnielli and R. L. Epstein}, title = {Computabilidade, Funções Computáveis, Lógica e os Fundamentos da Matemática}, publisher = {Ed. UNESP}, year = {2006}, } % «bib-ChagrovZakharyaschev» (to ".bib-ChagrovZakharyaschev") % (find-books "__logic/__logic.el" "chagrov") % @Book{ChagrovZakharyaschev, author = {A. Chagrov and M. Zakharyaschev}, title = {Modal Logic}, publisher = {Oxford}, year = {1997}, } % «bib-ChengMorally» (to ".bib-ChengMorally") % (find-books "__cats/__cats.el" "cheng-morally") % @Unpublished{ChengMorally, author = {E. Cheng}, title = {Mathematics, Morally}, note = {\url{http://eugeniacheng.com/wp-content/uploads/2017/02/cheng-morality.pdf}}, year = {2004}, } % «bib-CoeckeNewStruP» (to ".bib-CoeckeNewStruP") % (find-books "__cats/__cats.el" "coecke-newstrup") % @Book{CoeckeNewStruP, editor = {B. Coecke}, title = {New Structures for Physics}, publisher = {Springer}, year = {2011}, note = {\url{https://www.springer.com/br/book/9783642128202}}, } % «bib-CoeckePQP» (to ".bib-CoeckePQP") % (find-books "__cats/__cats.el" "coecke") % @Book{CoeckePQP, author = {B. Coecke and A. Kissinger}, title = {Picturing Quantum Processes. A First Course in Quantum Theory and Diagrammatic Reasoning}, publisher = {Cambridge}, note = {\url{http://www.cambridge.org/gb/pqp}}, year = {2017}, } % «bib-Coq» (to ".bib-Coq") % (find-es "coq" "bertot-casteran") % (find-books "__comp/__comp.el" "coq") % http://books.google.com/books?id=m5w5PRj5Nj4C % @Book{BertotCasteran, author = {Y. Bertot and P. Castéran}, title = {Interactive Theorem Proving and Program Development - Coq'Art: The Calculus of Inductive Constructions}, publisher = {Springer}, year = {2004}, } % «bib-Corfield» (to ".bib-Corfield") % (find-books "__phil/__phil.el" "corfield") % @Book{Corfield, author = {D. Corfield}, title = {Towards a Philosophy of Real Mathematics}, publisher = {Cambridge}, year = {2004}, } % «bib-DaveyPriestley» (to ".bib-DaveyPriestley") % (find-books "__alg/__alg.el" "davey-priestley") % isbn={9780521784511}, % lccn={2001043910}, % url={https://books.google.com.br/books?id=vVVTxeuiyvQC}, % series = {Cambridge Mathematical Textbooks}, % @book{DaveyPriestley, title = {Introduction to Lattices and Order}, author = {Davey, B.A. and Priestley, H.A.}, year = {2002}, publisher = {Cambridge University Press} } % «bib-Dummett» (to ".bib-Dummett") % (find-books "__logic/__logic.el" "dummett") @Book{Dummett, author = {M. Dummett}, title = {Elements of Intuitionism (2nd ed.)}, publisher = {Oxford}, year = {2000}, } % «bib-Eilenberg» (to ".bib-Eilenberg") % (find-books "__cats/__cats.el" "kromer") % @Book{EilenbergSteenrod, author = {S. Eilenberg and N. Steenrod}, title = {Foundations of algebraic topology}, publisher = {Princeton}, year = {1952}, } % «bib-Fitting» (to ".bib-Fitting") % (find-books "__modal/__modal.el" "fitting") % Melvin Fitting: "Tableau Methods of Proof For Modal Logics" (1972) @Article{Fitting72, author = {M. Fitting}, title = {Tableau Methods of Proof For Modal Logics}, journal = {Notre Dame Journal of Formal Logic}, year = {1972}, volume = {XIII}, number = {2}, pages = {237-247}, month = {4}, } % «bib-FongSpivak» (to ".bib-FongSpivak") % (find-books "__cats/__cats.el" "fong-spivak") % @Book{FongSpivak, author = {B. Fong and D. I. Spivak}, title = {Seven Sketches in Compositionality: An Invitation to Applied Category Theory}, publisher = {Cambridge}, year = {2019}, note = {\url{http://math.mit.edu/\~dspivak/teaching/sp18/7Sketches.pdf}}, } % «bib-Fourman» (to ".bib-Fourman") % (find-books "__cats/__cats.el" "fourman") % (find-slnm0753page 5 "Contents") % (find-slnm0753page (+ 14 302) "Sheaves and Logic" "Fourman" "Scott") % % https://link.springer.com/bookseries/304 SLNM % https://link.springer.com/book/10.1007/BFb0061811 Applications of sheaves % https://link.springer.com/chapter/10.1007%2FBFb0061824 Sheaves and Logic % https://link.springer.com/chapter/10.1007%2FBFb0061824#page-1 % @InProceedings{Fourman, author = {M.P. Fourman and D.S. Scott}, title = {Sheaves and Logic}, booktitle = {Applications of Sheaves: Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra and Analysis - Durham, july 9-21, 1977}, pages = {302--401}, year = {1979}, number = {753}, editor = {M.P. Fourman and D.J. Mulvey and D.S. Scott}, publisher = {Springer}, series = {Lecture Notes in Mathematics}, } % «bib-Freyd76» (to ".bib-Freyd76") % (to "bib-HellerTierney") % (find-books "__cats/__cats.el" "freyd76") % (find-books "__cats/__cats.el" "heller-tierney") % (find-angg ".emacs.papers" "freyd") % http://angg.twu.net/scans/freyd76__properties_invariant_within_equivalence_types_of_categories.pdf % @InProceedings{Freyd76, author = {P. Freyd}, title = {Properties Invariant within Equivalence Types of Categories}, booktitle = {Algebra, Topology and Category Theory: A Collection of Papers in Honour of Samuel Eilenberg}, pages = {55--61}, year = {1976}, editor = {A. Heller and M. Tierney}, publisher = {Academic Press}, } % «bib-FreydScedrov» (to ".bib-FreydScedrov") % (find-books "__cats/__cats.el" "freyd-scedrov") % @Book{FreydScedrov, author = {P. Freyd and A. Scedrov}, title = {Categories, Allegories}, publisher = {North-Holland}, year = {1990}, } % «bib-Fritz» (to ".bib-Fritz") % (find-angg ".emacs.papers" "fritz") % (find-efile "textmodes/bibtex.el" "TechReport") % (find-kopkadaly4page (+ 12 219) "Index") % (find-es "tex" "bibtex") % @Misc{Fritz, author = {T. Fritz}, title = {Categories of Fractions Revisited}, year = {2008}, howpublished = {Preprint}, note = {\url{http://arxiv.org/abs/0803.2587}}, } % «bib-GLT» (to ".bib-GLT") % (find-books "__logic/__logic.el" "girard") % @Book{GLT, author = {J.-Y. Girard and Y. Lafont and P. Taylor}, title = {Proofs and Types}, publisher = {Cambridge}, year = {1989}, } % «bib-Gentzen» (to ".bib-Gentzen") % (find-books "__logic/__logic.el" "gentzen") % @Book{GentzenCollected, author = {G. Gentzen}, editor = {M. E. Szabo}, title = {The Collected Papers of Gerhard Gentzen}, publisher = {North-Holland}, year = {1969}, } % «bib-GeuversPhD» (to ".bib-GeuversPhD") % H. Geuvers. Logics and Type Systems. PhD thesis, University of % Nijmegen, 1993. % @PhdThesis{GeuversPhD, author = {H. Geuvers}, title = {Logics and Type Systems}, school = {University of Nijmegen}, year = {1993}, } % «bib-GeuversSN» (to ".bib-GeuversSN") % H. Geuvers. A short and flexible proof of strong normalisation for the % calculus of constructions. In P. Dybjer, B. Nordstrom, and J. Smith, % editors, Proceedings of TYPES'94, volume 996 of Lecture Notes in % Computer Science, pages 14--38. Springer-Verlag, 1995. % % J. H. Geuvers. A short and flexible proof of strong normalization for % the Calculus of Constructions. In Types for Proofs and Programs, P. % Dybjer, B. Nordström and J. Smith (eds), LNCS 996, Springer, 1994. % @InProceedings{GeuversSN, author = {H. Geuvers}, title = {A short and flexible proof of strong normalisation for the calculus of constructions}, booktitle = {Proceedings of TYPES'94}, pages = {14--38}, year = {1995}, editor = {P. Dybjer and B. Nordstrom and J. Smith}, number = {996}, series = {Lecture Notes in Computer Science}, publisher = {Springer}, } % «bib-Goedel» (to ".bib-Goedel") % (find-books "__logic/__logic.el" "godel") % (find-godel1page 1 "") % (find-godel1page 18 "Contents") % (find-godel1page (+ 27 16) "Works in the first two volumes") % (find-godel1page (+ 27 296) "Introductory note to 1933f") % (find-godel1page (+ 27 301) "An interpretation of the intuitionistic propositional calculus (1933f)") % @Book{GoedelCollWorks1, editor = {S. Feferman}, title = {Kurt Gödel, Collected Works vol.1 (Publications 1929--1936)}, publisher = {Oxford}, year = {1986}, } @InBook{Goedel1933f, editor = {S. Feferman}, booktitle = {Kurt Gödel, Collected Works vol.1 (Publications 1929--1936)}, publisher = {Oxford}, year = {1986}, author = {K. Gödel}, title = {An interpretation of the intuitionistic propositional calculus (1933f)}, pages = {301}, } @InBook{Goedel1933fintro, editor = {S. Feferman}, booktitle = {Kurt Gödel, Collected Works vol.1 (Publications 1929--1936)}, publisher = {Oxford}, year = {1986}, author = {A.S. Troelstra}, title = {Introductory note to 1933f}, pages = {296--299}, } % «bib-Goldblatt» (to ".bib-Goldblatt") % (find-books "__cats/__cats.el" "goldblatt") @Book{Goldblatt, title={Topoi: The Categorial Analysis of Logic}, author={Goldblatt, R.}, publisher={North Holland}, year={1984}, % publisher={Dover Publications}, % year={2006}, % isbn={9780486450261}, % lccn={2005046778}, % series={Dover Books on Mathematics}, % url={https://books.google.com.br/books?id=AwLc-12-7LMC} } % «bib-Gratzer» (to ".bib-Gratzer") % (find-books "__alg/__alg.el" "gratzer") % @Book{Gratzer, author = {G. Grätzer}, title = {Lattice Theory: Foundation}, publisher = {Birkhäuser}, year = {2011}, } % «bib-Gray66» (to ".bib-Gray66") % (find-books "__cats/__cats.el" "gray") % @InProceedings{Gray66, author = {J.W. Gray}, title = {Fibred and Cofibred Categories}, booktitle = {Proceedings of the Conference on Categorical Algebra}, pages = {21--83}, year = {1966}, editor = {S. Eilenberg and D.K. Harrison and S. MacLane and H. Röhrl}, publisher = {Springer}, } % «bib-HellerTierney» (to ".bib-HellerTierney") % (to "bib-Freyd76") % (find-books "__cats/__cats.el" "heller-tierney") % Freyd's paper that was a predecessor to Cats & Alligators was published % here... What are its exact name and page range? % @Book{HellerTierney, editor = {A. Heller and M. Tierney}, title = {Algebra, Topology and Category Theory: A Collection of Papers in Honour of Samuel Eilenberg}, publisher = {Academic Press}, year = {1976}, } % «bib-Hesseling» (to ".bib-Hesseling") % (find-books "__logic/__logic.el" "hesseling") % @book{Hesseling, title = {Gnomes in the Fog: The Reception of Brouwer’s Intuitionism in the 1920s}, author = {Dennis E. Hesseling (auth.)}, publisher = {Birkhäuser Basel}, year = {2003}, series = {Science Networks. Historical Studies 28}, edition = {1}, volume = {}, } % «bib-HOTT» (to ".bib-HOTT") % (find-books "__logic/__logic.el" "hott") % @Book{HOTT, author = {The {Univalent Foundations Program}}, title = {Homotopy Type Theory: Univalent Foundations of Mathematics}, publisher = {\url{https://homotopytypetheory.org/book}}, address = {Institute for Advanced Study}, year = {2013}, } % «bib-Howard» (to ".bib-Howard") % In: (find-LATEX "catsem-u.bib" "bib-ToHBCurry") % (find-books "__logic/__logic.el" "howard") % (find-angg ".emacs.papers" "wadler-pat") % https://www.amazon.com.br/H-B-Curry-Essays-Combinatory-Calculus-Formalism/dp/0123490502 % [32] W. A. Howard. The formulae-as-types notion of construction. In % To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus, % and Formalism, pages 479-491. Academic Press, 1980. The original % version was circulated privately in 1969. % «bib-HylandPitts» (to ".bib-HylandPitts") % (find-books "__cats/__cats.el" "hyland-pitts") % J. M. E. Hyland and A. M. Pitts. The theory of constructions: % Categorical semantics and topos-theoretic models. In Categories in % Computer Science and Logic, pages 137-- 199. AMS, 1987. AMS % Contemporory Mathematics Series 92. % @InProceedings{HylandPitts, author = {J. M. E. Hyland and A. M. Pitts}, title = {The theory of constructions: Categorical semantics and topos-theoretic models}, booktitle = {Categories in Computer Science and Logic}, pages = {137--199}, year = {1987}, number = {92}, series = {AMS Contemporary Mathematics Series}, publisher = {AMS}, } % «bib-Jacobs» (to ".bib-Jacobs") % (find-books "__cats/__cats.el" "jacobs") % Bart Jacobs. Categorical Logic and Type Theory. Number 141 in Studies % in Logic and the Foundations of Mathematics. North Holland, Elsevier, % 1999. % @Book{Jacobs, author = {B. Jacobs}, title = {Categorical Logic and Type Theory}, publisher = {North-Holland, Elsevier}, year = 1999, number = 141, series = {Studies in Logic and the Foundations of Mathematics}, } % «bib-Jamnik» (to ".bib-Jamnik") % https://www.cl.cam.ac.uk/~mj201/book.html % @Book{Jamnik, author = {M. Jamnik}, title = {Mathematical Reasoning with Diagrams: From Intuition to Automation}, publisher = {CSLI}, year = {2001}, } % «bib-Johnstone» (to ".bib-Johnstone") % (find-LATEX "filters.bib" "johnstone") % (find-angg ".emacs.papers" "johnstone") % @Book{Johnstone, author = {P. T. Johnstone}, title = {Topos Theory}, publisher = {Academic Press}, year = {1977}, } @Book{Elephant1, author = {P. T. Johnstone}, title = {Sketches of an Elephant: A Topos Theory Compendium}, publisher = {Oxford University Press}, volume = {1}, year = {2002}, } @Book{Elephant2, author = {P. T. Johnstone}, title = {Sketches of an Elephant: A Topos Theory Compendium}, publisher = {Oxford University Press}, volume = {2}, year = {2002}, } % Variants with shorthands: % @Book{EA, author = {P. T. Johnstone}, title = {Sketches of an Elephant: A Topos Theory Compendium}, publisher = {Oxford University Press}, volume = {1}, % chapter = {A}, shorthand = {E}, year = {2002}, } % «bib-JoyalStreet» (to ".bib-JoyalStreet") % http://www.math.mq.edu.au/~street/Publications.html % @Article{JoyalStreet, author = {A. Joyal and R. Street}, title = {The geometry of tensor calculus I}, journal = {Advances in Mathematics}, year = {1991}, volume = {88}, pages = {55--112}, } % «bib-Kamareddine» (to ".bib-Kamareddine") % (find-books "__logic/__logic.el" "typetheory") % @Book{Kamareddine, author = {F. Kamareddine and T. Laan and R. Nederperlt}, title = {A Modern Perspective on Type Theory}, publisher = {Kluwer}, year = {2004}, } % «bib-KellyLack» (to ".bib-KellyLack") % (find-angg ".emacs.papers" "kelly") % @Article{KellyLack, author = {J. Kelly, S. Lack}, title = {On Property-Like Structures}, journal = {Theory and Applications of Categories}, year = {1997}, pages = {??-??}, note = {\url{http://www.tac.mta.ca/tac/volumes/1997/n9/n9.dvi}} } % «bib-Kock77» (to ".bib-Kock77") % (find-THfile "math-b.blogme" "A simple axiomatics for differentiation") % (find-THfile "math-b.blogme" "www.mscand.dk") % (find-angg ".emacs.papers" "kock") % @Article{Kock77, author = {A. Kock}, title = {A simple axiomatics for differentiation}, journal = {Mathematica Scandinavica}, year = {1977}, volume = {40}, number = {2}, pages = {183-193}, note = {\url{http://www.mscand.dk/article.php?id=2356}}, } % «bib-Kock81» (to ".bib-Kock81") % (find-angg ".emacs.papers" "kock") % http://home.imf.au.dk/kock/sdg99.pdf @Book{Kock81, author = {A. Kock}, title = {Synthetic Differential Geometry}, publisher = {Cambridge}, year = {1980}, note = {\url{http://home.imf.au.dk/kock/sdg99.pdf}}, } % «bib-Kromer» (to ".bib-Kromer") % (find-books "__cats/__cats.el" "kromer") @Book{Kromer, author = {R. Krömer}, title = {Tool and Object: A History and Philosophy of Category Theory}, publisher = {Birkhäuser}, year = {2007}, } % «bib-LambekScott» (to ".bib-LambekScott") % (find-books "__cats/__cats.el" "lambek-scott") % @Book{LambekScott, author = {J. Lambek and P. Scott}, title = {Introduction to Higher-Order Categorical Logic}, publisher = {Cambridge}, year = {1986}, } % «bib-LangAlgebra» (to ".bib-LangAlgebra") @Book{LangAlgebra, author = {S. Lang}, title = {Algebra, 3rd ed.}, publisher = {Springer}, year = {2002}, } % «bib-Lavendhomme» (to ".bib-Lavendhomme") @Book{Lavendhomme, author = {R. Lavendhomme}, title = {Basic Concepts of Synthetic Differential Geometry}, publisher = {Kluwer}, year = {1996}, } % «bib-Lawvere80» (to ".bib-Lawvere80") % @Article{Lawvere80, author = {W. Lawvere}, title = {Toward the Description in a Smooth Topos of the Dynamically Possible Motions and Deformations of a Continuous Body}, journal = {Cahiers de Topologie et Géométrie Différentielle Catégorique}, year = {1980}, volume = {XXI}, pages = {337--392}, } % «bib-LawvereAdjBicat» (to ".bib-LawvereAdjBicat") % W. Lawvere - Adjoints in and among Bicategories, Proceedings of the % 1994 Siena Conference in Memory of Roberto Magari. Logic & Algebra, % Lecture Notes in Pure and Applied Algebra 180: 181-189, Ed. % Ursini/Aglianò, Marcel Dekker, Inc. Basel, New York, 1996. % @InProceedings{LawvereAdjBicat, author = {W. Lawvere}, title = {Adjoints in and among Bicategories}, booktitle = {Proceedings of the 1994 Siena Conference in Memory of Roberto Magari}, pages = {181--189}, year = {1996}, editor = {Ursini and Aglianò}, number = {180}, series = {Logic \& Algebra, Lecture Notes in Pure and Applied Algebra}, publisher = {Marcel Dekker, Inc. Basel, New York}, } % «bib-LawvereAdjFo» (to ".bib-LawvereAdjFo") % (find-books "__cats/__cats.el" "lawvere-adjfo") % (find-angg ".emacs.papers" "lawvere") % @Article{LawvereAdjFo, author = {W. Lawvere}, title = {Adjointness in Foundations}, journal = {Dialectica}, year = {1969}, volume = {23}, pages = {281--296}, } % «bib-LawvereEqHyp» (to ".bib-LawvereEqHyp") % (find-books "__cats/__cats.el" "lawvere-equahyp") % @Article{LawvereEqHyp, author = {W. Lawvere}, title = {Equality in Hyperdoctrines and Comprehension Schema as an Adjoint Functor}, journal = {Proceedings of the American Mathematical Society Symposium on Pure Mathematics XVII}, year = {1970}, volume = {999}, pages = {1--14}, } % «bib-LawvereRosebrugh» (to ".bib-LawvereRosebrugh") % (find-books "__cats/__cats.el" "lawvere-rosebrugh") % @Book{LawvereRosebrugh, author = {W. Lawvere and R. Rosebrugh}, title = {Sets for Mathematics}, publisher = {Cambridge}, year = {2003}, } % «bib-LawvereSchanuel» (to ".bib-LawvereSchanuel") % (find-books "__cats/__cats.el" "lawvere-schanuel") % @Book{LawvereSchanuel, author = {W. Lawvere and S. Schanuel}, title = {Conceptual Mathematics: A first introduction to categories}, publisher = {Cambridge}, year = {1997}, } % «bib-LawvereThesis» (to ".bib-LawvereThesis") % (find-angg ".emacs.papers" "lawvere") % @PhdThesis{LawvereThesis, author = {W. Lawvere}, title = {Functorial Semantics of Algebraic Theories}, school = {Berkeley?}, year = {1963}, note = {\url{http://www.tac.mta.ca/tac/reprints/articles/5/tr5abs.html}}, } % «bib-Leinster» (to ".bib-Leinster") % (find-books "__cats/__cats.el" "leinster-basic") % @Book{Leinster, author = {T. Leinster}, title = {Basic Category Theory}, publisher = {Cambridge}, year = {2014}, } % «bib-Luo» (to ".bib-Luo") % (find-angg ".emacs.papers" "luo") % @PhdThesis{Luo, author = {Z. Luo}, title = {An Extended Calculus of Constructions}, school = {University of Edinburgh}, year = {1990}, note = {Also as Report CST-65-90/ECS-LFCS-90-118, Department of Computer Science, University of Edinburgh}, } % «bib-Macbeth» (to ".bib-Macbeth") % (find-books "__frege/__frege.el" "macbeth") % @Book{Macbeth, author = {D. Macbeth}, title = {Frege's Logic}, publisher = {Harvard}, year = {2005}, } % «bib-MacLane» (to ".bib-MacLane") % (find-books "__cats/__cats.el" "maclane") % @Book{CWM, author = {S. MacLane}, title = {Categories for the Working Mathematician}, publisher = {Springer}, year = {1971}, } @Book{CWM2, author = {S. MacLane}, title = {Categories for the Working Mathematician (2nd ed.)}, publisher = {Springer}, year = {1997}, } % «bib-MacLaneMoerdijk» (to ".bib-MacLaneMoerdijk") % S.MacLane and I.Moerdijk, Sheaves in geometry and logic: a first % introduction to topos theory, Springer-Verlag, 1992. % @Book{MacLaneMoerdijk, author = {S. MacLane and I. Moerdijk}, title = {Sheaves in geometry and logic: a first introduction to topos theory}, publisher = {Springer}, year = {1992}, } % «bib-Mancosu» (to ".bib-Mancosu") % (find-books "__phil/__phil.el" "mancosu") @Book{Mancosu, editor = {P. Mancosu}, title = {The Philosophy of Mathematical Practice}, publisher = {Oxford}, year = {2008}, } % «bib-MartinLof84» (to ".bib-MartinLof84") @Book{MartinLof84, author = {P. Martin-Löf}, title = {Intuitionistic Type Theory}, publisher = {Bibliopolis}, year = {1984}, series = {Studies in Proof Theory}, address = {Napoli} } % «bib-MarsdenCTUSD» (to ".bib-MarsdenCTUSD") % (find-books "__cats/__cats.el" "marsden-ctusd") % @Unpublished{MarsdenCTUSD, author = {D. Marsden}, title = {Category Theory Using String Diagrams}, note = {\url{https://arxiv.org/pdf/1401.7220.pdf}}, year = {2014}, } % «bib-McLarty» (to ".bib-McLarty") % (find-books "__cats/__cats.el" "mclarty") % Colin McLarty. Elementary Categories, Elementary Toposes. Number 21 % in Oxford Logic Guides. Oxford University Press, 1992. % % p.168: "The idea of a later stage of definition appears in Kripke's % semantics (although not the term `stage of definition', which seems % to be derived from algebraic geometry, where a given polynomial has % solutions `defined over' various fields)." % @Book{McLarty, author = {C. McLarty}, title = {Elementary Categories, Elementary Toposes}, publisher = {Oxford University Press}, year = {1992}, number = {21}, series = {Oxford Logic Guides}, } % «bib-MilewskiCTFPOCaml» (to ".bib-MilewskiCTFPOCaml") % (find-books "__cats/__cats.el" "milewski-ctfp") % @Unpublished{MilewskiCTFPOCaml, author = {B. Milewski}, title = {Category Theory for Programmers, OCaml Edition}, note = {\url{https://github.com/hmemcpy/milewski-ctfp-pdf/releases/download/v1.4.0-rc1/category-theory-for-programmers-ocaml.pdf}}, year = {2020}, } % «bib-ModalHandbook» (to ".bib-ModalHandbook") % (find-books "__modal/__modal.el" "handbook") % (find-handbookmodalpage (+ 39 427) "Wolter") % (find-handbookmodalpage (+ 39 449) "Transitive logics of finite depth and width") % @InBook{ModalHandbook, editor = {P. Blackburn and J. van Benthem and F. Wolter}, author = {F. Wolter and M. Zakharyaschev}, title = {Handbook of Modal Logic}, chapter = {Modal Decision Problems}, publisher = {Elsevier}, year = {2007}, pages = {427--489}, } % «bib-MoeRey» (to ".bib-MoeRey") % (find-books "__cats/__cats.el" "moerdijk") % @Book{MoeRey, author = {I. Moerdijk and G. E. Reyes}, title = {Models for Smooth Infinitesimal Analysis}, publisher = {Springer}, year = {1991}, } % «bib-NegriVonPlato» (to ".bib-NegriVonPlato") % (find-books "__logic/__logic.el" "negri-vonplato") % @Book{NegriVonPlato, author = {S. Negri and J. von Plato}, title = {Structural Proof Theory}, publisher = {Cambridge}, year = {2001}, } % «bib-Ochs» (to ".bib-Ochs") % (find-TH "math-b" "MsC") % (find-TH "math-b" "2000-UFF") % (find-TH "math-b" "filter-infinitesimals") % (find-TH "math-b" "internal-diags-in-ct") % (find-TH "math-b" "zhas-for-children-2") % https://link.springer.com/journal/11787/7/3/page/1 LU containing idarct % https://link.springer.com/article/10.1007/s11787-013-0083-z idarct % https://doi.org/10.1007/s11787-013-0083-z idarct % @MastersThesis{OchsMsC, author = {E. Ochs}, title = {Categorias, Filtros e Infinitesimais Naturais}, school = {PUC-Rio}, year = {1999}, note = {\url{http://angg.twu.net/math-b.html#MsC}}, } @Unpublished{OchsFilters08, author = {E. Ochs}, title = {Natural Infinitesimals in Filter-Powers}, note = {Notes, \url{http://angg.twu.net/math-b.html#filter-infinitesimals}}, year = {2008}, } @Unpublished{OchsUniLog, author = {E. Ochs}, title = {Downcasing Types}, note = {Slides for a presentation at the UniLog'2010. \url{http://angg.twu.net/math-b.html#unilog-2010}}, year = {2010}, } @Unpublished{OchsIDCT, author = {E. Ochs}, title = {Internal Diagrams in Category Theory}, note = {Submitted (to {\sl Logica Universalis})}, year = {2010}, } @Unpublished{OchsDownHyp, author = {E. Ochs}, title = {Downcasing Hyperdoctrines}, note = {In preparation}, year = {2011}, } @Article{OchsIDARCT, author = {E. Ochs}, title = {Internal Diagrams and Archetypal Reasoning in Category Theory}, journal = {Logica Universalis}, year = {2013}, month = {9}, volume = {7}, number = {3}, pages = {291--321}, } @Article{OchsPH1, author = {E. Ochs}, title = {Planar Heyting Algebras for Children}, journal = {South American Journal of Logic}, year = {2019}, volume = {5}, number = {1}, pages = {125--164}, note = {\url{http://angg.twu.net/math-b.html\#zhas-for-children-2}}, shorthand = {PH1}, } % @Unpublished{OchsPH1, % author = {E. Ochs}, % title = {Planar Heyting Algebras for Children}, % note = {\url{http://angg.twu.net/math-b.html\#zhas-for-children-2}}, % shorthand = {PH1}, % % year = {2017}, % year = {2020}, % } @Unpublished{OchsPH2, author = {E. Ochs}, title = {Planar Heyting Algebras for Children 2: Local Operators, J-Operators, and Slashings}, note = {\url{http://angg.twu.net/math-b.html\#zhas-for-children-2}}, shorthand = {PH2}, year = {2020}, } % (find-math-b-links "missing-diagrams-elephant" "2019oxford-abs") @Unpublished{OchsACT2019, author = {E. Ochs}, title = {On some missing diagrams in the Elephant}, note = {\url{http://angg.twu.net/LATEX/2019oxford-abs.pdf}}, year = {2019}, } % (find-math-b-links "notes-yoneda" "2019notes-yoneda") @Unpublished{OchsNotesOnYoneda, author = {E. Ochs}, title = {A diagram for the Yoneda Lemma (In which each node and arrow can be interpreted precisely as a ``term'', and most of the interpretations are ``obvious''; plus dictionaries!!!)}, note = {\url{http://angg.twu.net/LATEX/2019notes-yoneda.pdf}}, year = {2019}, } @Unpublished{OchsCla2020, author = {E. Ochs}, title = {Notes about classifiers and local operators in a $\mathbf{Set}^{(P,A)}$}, note = {\url{http://angg.twu.net/math-b.html\#zhas-for-children-2}}, year = {2020}, } @Unpublished{OchsLessMS, author = {E. Ochs}, title = {On two tricks to make Category Theory fit in less mental space: missing diagrams and skeletons of proofs}, note = {\url{http://angg.twu.net/LATEX/2019newton-slides.pdf}}, year = {2019}, } % (lfc) @Unpublished{OchsLucatelli, author = {E. Ochs and F. Lucatelli}, title = {Logic for Children - Workshop at UniLog 2018 (Vichy) - unofficial homepage}, note = {\url{http://angg.twu.net/logic-for-children-2018.html}}, year = {2018}, } % (find-math-b-links "2020-tallinn" "2020tallinn-abstract") @Unpublished{OchsTallinnAbs, author = {E. Ochs}, title = {What kinds of knowledge do we gain by doing Category Theory in several levels of abstraction in parallel?}, note = {\url{http://angg.twu.net/math-b.html\#2020-tallinn}}, year = 2020, } % «bib-PareSchumacher» (to ".bib-PareSchumacher") % (find-books "__cats/__cats.el" "pare-schumacher") % @InProceedings{PareSchumacher, author = {R. Paré and D. Schumacher}, title = {Abstract Families and the Adjoint Functor Theorems}, booktitle = {Indexed Categories and Their Applications}, pages = {1--125}, editor = {P.T. Johnstone and R. Paré}, publisher = {Springer}, series = {Lecture Notes in Mathematics}, number = {661}, year = {1978}, } % «bib-Pavlovic» (to ".bib-Pavlovic") % @PhdThesis{Pavlovic, author = {D. Pavlovi\'c}, title = {Predicates and Fibrations}, school = {University of Utrecht}, year = {1990}, } % «bib-Perrone» (to ".bib-Perrone") % (find-books "__cats/__cats.el" "perrone") % @Unpublished{Perrone, author = {P. Perrone}, title = {Notes on Category Theory with examples from basic mathematics}, note = {https://arxiv.org/abs/1912.10642}, year = {2020}, } % «bib-Phoa» (to ".bib-Phoa") % Wesley Phoa. An introduction to fibrations, topos theory, the % effective topos, and modest sets. Technical Report ECS-LFCS-92-208, % LFCS Edinburgh, 1992. % @TechReport{Phoa, author = {W. Phoa}, title = {An introduction to fibrations, topos theory, the effective topos, and modest sets}, institution = {LFCS Edinburgh}, year = {1992}, note = {Technical Report ECS-LFCS-92-208}, } % «bib-Pitts» (to ".bib-Pitts") % (find-angg ".emacs.papers" "pitts") % http://www.cl.cam.ac.uk/~amp12/bib/PittsAM.bib % @INPROCEEDINGS{PittsAM:polist, AUTHOR = {A.~M.~Pitts}, TITLE = {Polymorphism Is Set Theoretic, Constructively}, BOOKTITLE = {Category Theory and Computer Science, Proc.\ Edinburgh 1987}, EDITOR = {D.~H.~Pitt and A.~Poign{\'e} and D.~E.~Rydeheard}, SERIES = {Lecture Notes in Computer Science}, PUBLISHER = {Springer-Verlag, Berlin}, VOLUME = 283, YEAR = 1987, PAGES = {12--39} } % «bib-Prawitz65» (to ".bib-Prawitz65") % @Book{Prawitz65, author = {D. Prawitz}, title = {Natural Deduction}, publisher = {Almqvist \& Wiksell, Stockholm, Sweden}, year = {1965}, } % «bib-PrawitzIRPF» (to ".bib-PrawitzIRPF") % @InProceedings{PrawitzIRPF, author = {D. Prawitz}, title = {Ideas and results in proof theory}, booktitle = {Proceedings of the Second Scandinavian Logic Symposium}, pages = {235--307}, year = {1971}, editor = {J.E. Fenstad}, publisher = {North-Holland}, } % «bib-Reyes» (to ".bib-Reyes") % (find-books "__cats/__cats.el" "reyes") % @Book{ReyesZolf, author = {M. P. Reyes and G. E. Reyes and H. Zolfaghari}, title = {Generic Figures and Their Glueings}, publisher = {Polimetrica}, year = {2004}, note = {\url{https://marieetgonzalo.files.wordpress.com/2004/06/generic-figures.pdf}}, } % «bib-Riehl» (to ".bib-Riehl") % (find-books "__cats/__cats.el" "riehl") @Book{Riehl, author = {E. Riehl}, title = {Category Theory in Context}, publisher = {Dover}, year = {2016}, } % «bib-Schalk» (to ".bib-Schalk") % (find-angg ".emacs.papers" "schalk") @Unpublished{Schalk, author = {A. Schalk}, title = {Some Notes on Monads}, note = {\url{http://www.cs.man.ac.uk/~schalk/notes/monads.ps.gz}}, year = {2002}, } % «bib-SeelyBeck» (to ".bib-SeelyBeck") % (find-books "__cats/__cats.el" "seely-hyp") % @article{SeelyBeck, author = {R. A. G. Seely}, title = {Hyperdoctrines, natural deduction, and the Beck condition}, journal = {Zeitschrift f. math. Logik und Grundlagen d. Math.}, volume = {29}, pages = {505--542}, year = {1983} } % «bib-SeelyCartDiff» (to ".bib-SeelyCartDiff") % (find-angg ".emacs.papers" "seely") % (find-ragscartdiffpage 1) % (find-ragscartdifftext) % @Unpublished{SeelyCartDiff, author = {R. F. Blute and J. R. B. Cockett and R. A. G. Seely}, title = {Cartesian Differential Categories}, note = {\url{http://www.math.mcgill.ca/rags/difftl/cartdiff.pdf}}, year = {2008}, } % «bib-SeelyDiff» (to ".bib-SeelyDiff") % (find-books "__cats/__cats.el" "seely-diff") % @Article{SeelyDiff, author = {R. Blute and R. Cockett and R. A. G. Seely}, title = {Differential Categories}, journal = {Mathematical Structures in Computer Science}, volume = {16}, pages = {1049--1083}, year = {2006}, } % «bib-SeelyLCCC» (to ".bib-SeelyLCCC") % (find-angg ".emacs.papers" "seely-lccc") % (find-ragslcccpage (+ -32 33)) % @Article{SeelyLCCC, author = {R. A. G. Seely}, title = {Locally Cartesian closed categories and type theory}, journal = {Math. Proc. Cambridge Philos. Soc.}, year = {1984}, volume = {95}, number = {1}, pages = {33--48}, } % «bib-SeelyPLC» (to ".bib-SeelyPLC") % (find-angg ".emacs.papers" "seely-plc") % ftp://ftp.math.mcgill.ca/pub/rags/SeelyRAG.bib % (find-fline "$S/ftp/ftp.math.mcgill.ca/pub/rags/SeelyRAG.bib" ":cshoplc") % (find-fline "$S/ftp/ftp.math.mcgill.ca/pub/rags/SeelyRAG.bib" ":lccctt") % month = {dec}, % @article{SeelyPLC, author = {R. A. G. Seely}, title = {Categorical Semantics for Higher Order Polymorphic Lambda Calculus}, journal = {Journal of Symbolic Logic}, volume = {52}, number = {4}, pages = {969--988}, year = {1987} } % «bib-SmithGalois» (to ".bib-SmithGalois") % (find-angg ".emacs.papers" "lawvere-smith") % @Unpublished{SmithGalois, author = {P. Smith}, title = {Notes on Galois Connections}, note = {\url{http://logicmatters.blogspot.com/2008/05/galois-connections.html}}, } % «bib-Simmons» (to ".bib-Simmons") % (find-angg ".emacs.papers" "simmons") % @Unpublished{Simmons, author = {H. Simmons}, title = {The point-free approach to sheafification}, note = {\url{http://www.cs.man.ac.uk/~hsimmons/DOCUMENTS/papersandnotes.html}}, year = {2001}, } % «bib-Streicher» (to ".bib-Streicher") % (find-angg ".emacs.papers" "streicher") % @Unpublished{StreicherBenabou, author = {T. Streicher}, title = {Fibred Categories à là {J}. {B}énabou}, note = {Notes}, month = {April}, year = {1999}, } % «bib-Taylor» (to ".bib-Taylor") % (find-angg ".emacs.papers" "taylor") % @PhdThesis{TaylorPhDThesis, author = {P. Taylor}, title = {Recursive Domains, Indexed Category Theory and Polymorphism}, school = {Cambridge}, year = {1986}, } % «bib-ToHBCurry» (to ".bib-ToHBCurry") % Contains: (find-LATEX "catsem-u.bib" "bib-Howard") % See: (find-angg ".emacs.papers" "wadler-pat") % https://www.amazon.com.br/H-B-Curry-Essays-Combinatory-Calculus-Formalism/dp/0123490502 % [32] W. A. Howard. The formulae-as-types notion of construction. In % To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus, % and Formalism, pages 479-491. Academic Press, 1980. The original % version was circulated privately in 1969. % @Book{ToHBCurry, editor = {J. P. Seldin and J. R. Hindley}, title = {To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus, and Formalism}, publisher = {Academic Press}, year = {1980}, } % «bib-VanDalen» (to ".bib-VanDalen") % (find-books "__logic/__logic.el" "van_dalen") @Book{VanDalen, author = {D. van Dalen}, title = {Logic and Structure (4th ed.)}, publisher = {Springer}, year = {2008}, } % «bib-WadlerGR» (to ".bib-WadlerGR") % (find-angg ".emacs.papers" "wadler-gr") % Philip Wadler. The Girard-Reynolds isomorphism. In N. Kobayashi and B. % C. Pierce, editors, Proc. of 4th Int. Symp. on Theoretical Aspects of % Computer Science, TACS 2001. % @InProceedings{WadlerGR, author = {P. Wadler}, title = {The {G}irard-{R}eynolds isomorphism}, booktitle = {Proc. of 4th Int. Symp. on Theoretical Aspects of Computer Science, TACS 2001}, year = {2001}, editor = {N. Kobayashi and B. C. Pierce}, } % «bib-WadlerTfF» (to ".bib-WadlerTfF") % Wadler, P.: Theorems for Free!, Proc. FPCA'89 , ACM, pp.347--359 (1989). % (find-angg ".emacs.papers" "wadler-free") % @InProceedings{WadlerTfF, author = {P. Wadler}, title = {Theorems for Free!}, booktitle = {Proc. FPCA'89}, pages = {347--359}, year = {1989}, publisher = {ACM}, } % «bib-WadlerPaT» (to ".bib-WadlerPaT") % http://homepages.inf.ed.ac.uk/wadler/topics/history.html#propositions-as-types % Philip Wadler. Communications of the ACM, 58(12):75–84, December, 2015. % (find-angg ".emacs.papers" "wadler-pat") % @Article{WadlerPaT, author = {P. Wadler}, title = {Propositions as Types}, journal = {Communications of the ACM}, year = {2015}, volume = {58}, number = {12}, pages = {75--84}, month = {December}, } % «bib-WadlerSMBF» (to ".bib-WadlerSMBF") % (find-angg ".emacs.agda" "wadler-smbf") % "Programming Language Foundations in Agda" % https://homepages.inf.ed.ac.uk/wadler/topics/agda.html#sbmf % https://homepages.inf.ed.ac.uk/wadler/papers/plfa/sbmf.pdf % @InProceedings{WadlerSMBF, author = {P. Wadler}, title = {Programming Language Foundations in Agda}, booktitle = {XXI Brazilian Symposium on Formal Methods}, year = {2018}, note = {\url{https://homepages.inf.ed.ac.uk/wadler/topics/agda.html#sbmf}}, } % «bib-LuaGems» (to ".bib-LuaGems") % (to "bib-Bootstrapping") @Book{LuaGems, editor = "L. H. de Figueiredo and W. Celes and R. Ierusalimschy", booktitle = "Lua Programming Gems", publisher = "Lua.org", year = "2008", } % «bib-Reynolds» (to ".bib-Reynolds") % (find-angg ".emacs.papers" "reynolds") % @Article{ReynoldsPinST, author = {J. Reynolds}, title = {Polymorphism is not Set-Theoretic}, journal = {LNCS ???}, year = {1984}, note = {preprint version: \url{http://www.inria.fr/rrrt/rr-0296.html}}, } % Pitts: Polymorphism is Set-Theoretic, constructively % Seely: Categorical Semantics for Higher Order Polymorphic Lambda Calculus % % Lawvere (easy book): external/internal view % Lawvere: hyperdoctrines ("healthy start") % % Freyd: Algebraic categories % (describe-bindings "\C-c\C-e") % Main missing entries: % Hindley/Seldin % Streicher (Benabou) % Izumi Takeuti % Kock - book, article about e^2=0, kock/mitchell % Lavendhomme % (find-books "__logic/__logic.el" "hindley") % (find-angg ".emacs.papers" "streicher") % Proofs are Programs: 19th Century Logic and 21st Century Computing % % Philip Wadler. (This is a variant of New Languages, Old Logic, which % appeared in Dr Dobbs Journal, special supplement on Software in the % 21st century, December 2000. There is also an Netcast interview.) % % + Phil Wadler: % o Theorems for Free! (1989), The Girard-Reynolds % Isomorphism (2001) (rmt) % o Proofs are Programs: 19th Century Logic and 21st Century % Computing (rmt) % + John Reynolds: % o On Functors Expressible in the Polymorphic Typed Lambda % Calculus (rmt) % + Izumi Takeuti: % o An Axiomatic System of Parametricity (rmt) (1998) % o The Theory of Parametricity in Lambda Cube (rmt) (draft) % + Harry Mairson: % o Outline of a Proof Theory of Parametricity (rmt) % * On Non-standard Analysis, SDG and friends: % + A page with many links on Non-Standard Analysis (rmt) % + William Lawvere (rmt): % o Outline of Synthetic Differential Geometry (rmt) (1998) % o Toposes of Laws of Motion (rmt) (1997) % % + Thomas Ehrhard (rmt): The Differential Lambda-Calculus (rmt) % (2001). % + Anders Kock (rmt): % o Aspects of Fractional Exponent Functors (rmt) (1999, % with G. Reyes) % o Fractional Exponent Functors and Categories of % Differential Equations (rmt) (1998, with G. Reyes) % Phil Scott % Andy Pitts % Robinson: NSA % Add: % Freyd's short thing % (find-angg ".emacs.papers" "beck") % (find-angg ".emacs.papers" "kelly") % (find-angg ".emacs.papers" "taylor") % «diagrams» (to ".diagrams") % (find-LATEX "catsem.bib" "bib-Jamnik") % (find-angg ".emacs.papers" "cheng") % (find-books "__cats/__cats.el" "freyd-scedrov") % (find-books "__cats/__cats.el" "kromer") % (find-books "__cats/__cats.el" "reyes") % (find-books "__frege/__frege.el" "macbeth") % (find-books "__phil/__phil.el" "corfield") % Local variables: % coding: utf-8-unix % modes: (bibtex-mode fundamental-mode) % end: