@book(andrews1986, author = {Peter B. Andrews}, year = {1986}, title = {An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof}, series = {Computer Science and Applied Mathematics}, publisher = {Academic Press}, ) @incollection(benzmuller-andrews2019-sep-ctt, author = {Christoph Benzm\"{u}ller and Peter S. Andrews}, year = {2019}, title = {Church's Type Theory}, editor = {Edward N. Zalta}, booktitle = {The Stanford Encyclopedia of Philosophy}, edition = {summer 2019}, url = {https://plato.stanford.edu/archives/sum2019/entries/type-theory-church}, ) @incollection(blamey1986, author = {Stephen Blamey}, year = {2002}, title = {Partial Logic}, editor = {Dov Gabbay and Franz Guenthner}, booktitle = {Handbook of Philosophical Logic}, volume = {5}, publisher = {Springer}, pages = {261--353}, doi = {10.1007/978-94-017-0458-8_5}, ) @article(church1940, author = {Alonzo Church}, year = {1940}, title = {A Formulation of the Simple Theory of Types}, journal = {The Journal of Symbolic Logic}, volume = {5}, number = {2}, pages = {56--68}, doi = {10.2307/2266170}, ) @article(farmer1990, author = {William M. Farmer}, year = {1990}, title = {A Partial Functions Version of Church's Simple Theory of Types}, journal = {Journal of Symbolic Logic}, volume = {55}, number = {3}, pages = {1269--1291}, doi = {10.2307/2274487}, ) @book(frege1884, author = {Gottlob Frege}, year = {1879}, title = {Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung \"{u}ber den Begriff der Zahl}, publisher = {Verlag von Wilhelm Koebner}, ) @article(frege1951, author = {Gottlob Frege}, year = {1951}, title = {On Concept and Object}, journal = {Mind}, volume = {60}, number = {238}, pages = {168--180}, doi = {10.1093/mind/LX.238.168}, ) @incollection(frege1979-existence, author = {Gottlob Frege}, year = {1979}, title = {Dialogue with P\"{u}njer on Existence}, editor = {Hans Hermes and Friedrich Kambartel and Friedrich Kaulbach}, booktitle = {Posthumous Writings}, publisher = {University of Chicago Press}, pages = {53--67}, ) @article(henkin1963, author = {Leon Henkin}, year = {1963}, title = {A Theory of Propositional Types}, journal = {Fundamenta Mathematicae}, volume = {52}, pages = {323--334}, doi = {10.4064/fm-52-3-323-344}, ) @book(hindley-seldin2008, author = {James R. Hindley and Jonathan P. Seldin}, year = {2008}, title = {Lambda-Calculus and Combinators, an Introduction}, publisher = {Cambridge University Press}, doi = {10.1017/CBO9780511809835}, ) @book(indrzejczak2010, author = {Andrzej Indrzejczak}, year = {2010}, title = {Natural Deduction, Hybrid Systems and Modal Logics}, publisher = {Springer}, doi = {10.1007/978-90-481-8785-0}, ) @article(kaplan1968, author = {David Kaplan}, year = {1968}, title = {Quantifying In}, journal = {Synthese}, volume = {19}, number = {1--2}, pages = {178--214}, doi = {10.1007/BF00568057}, ) @article(moschovakis2006-meaningandsynonymy, author = {Yiannis N. Moschovakis}, year = {2005}, title = {A Logical Calculus of Meaning and Synonymy}, journal = {Linguistics and Philosophy}, volume = {29}, number = {1}, pages = {27--89}, doi = {10.1007/s10988-005-6920-7}, ) @book(negri-plato-ranta2001, author = {Sara Negri and Jan von Plato and Aarne Ranta}, year = {2001}, title = {Structural Proof Theory}, publisher = {Cambridge University Press}, doi = {10.1017/CBO9780511527340}, ) @book(prawitz2006, author = {Dag Prawitz}, year = {2006}, title = {Natural Deduction: A Proof-Theoretical Study}, publisher = {Dover Publications}, ) @book(quieroz-oliviera-gabbay2011, author = {Ruy J. G. B. de Queiroz and Anjolina G. de Oliveira and Dov M. Gabbay}, year = {2011}, title = {The Functional Interpretation of Logical Deduction}, publisher = {World Scientific}, doi = {10.1142/8215}, ) @article(quine1943, author = {Willard Van Orman Quine}, year = {1943}, title = {Notes on Existence and Necessity}, journal = {The Journal of Philosophy}, volume = {40}, number = {5}, pages = {113--127}, doi = {10.2307/2017458}, ) @article(quine1956, author = {Willard Van Orman Quine}, year = {1956}, title = {Quantifiers and Propositional Attitudes}, journal = {The Journal of Philosophy}, volume = {53}, number = {5}, pages = {177--187}, doi = {10.2307/2022451}, ) @article(raclavsky2010-partiality, author = {Ji\v{r}\'{i} Raclavsk\'{y}}, year = {2010}, title = {On Partiality and Tich\'{y}'s Transparent Intensional Logic}, journal = {Hungarian Philosophical Review}, volume = {54}, number = {4}, pages = {120--128}, ) @article(raclavsky2018-existimport, author = {Ji\v{r}\'{i} Raclavsk\'{y}}, year = {2018}, title = {Existential Import and Relations of Categorical and Modal Categorical Statements}, journal = {Logic and Logical Philosophy}, volume = {27}, number = {3}, pages = {271--300}, doi = {10.12775/LLP.2017.026}, ) @book(raclavsky2020-book, author = {Ji\v{r}\'{i} Raclavsk\'{y}}, year = {2020}, title = {Belief Attitudes, Fine-Grained Hyperintensionality and Type-Theoretic Logic}, series = {Studies in Logic 88}, publisher = {College Publications}, ) @article(raclavsky2021-eg, author = {Ji\v{r}\'{i} Raclavsk\'{y}}, year = {2022}, title = {The Rule of Existential Generalisation and Explicit Substitution}, journal = {Logic and Logical Philosophy}, volume = {31}, number = {1}, pages = {105--141}, doi = {10.12775/LLP.2021.011}, ) @book(raclavsky-kuchynka-pezlar2015, author = {Ji\v{r}\'{i} Raclavsk\'{y} and Kuchy\v{n}ka, Petr and Ivo Pezlar}, year = {2015}, title = {Transparentn\'{i} intenzion\'{a}ln\'{i} logika jako characteristica universalis a calculus ratiocinator. [Transparent Intensional Logic as Characteristica Universalis and Calculus Ratiocinator]}, publisher = {Masarykova univerzita (Munipress)}, ) @article(tichy1982-partialtt, author = {Pavel Tich\'{y}}, year = {1982}, title = {Foundations of Partial Type Theory}, journal = {Reports on Mathematical Logic}, volume = {14}, pages = {57--72}, ) @article(tichy1986-indiscernibility, author = {Pavel Tich\'{y}}, year = {1986}, title = {Indiscernibility of Identicals}, journal = {Studia Logica}, volume = {45}, number = {3}, pages = {251--273}, doi = {10.1007/BF00375897}, ) @book(tichy1988-ffl, author = {Pavel Tich\'{y}}, year = {1988}, title = {The Foundations of Frege's Logic}, publisher = {Walter de Gruyter}, doi = {10.1515/9783110849264}, ) @incollection(uzquiano2020-sep, author = {Gabriel Uzquiano}, year = {2020}, title = {Quantifiers and Quantification}, editor = {Edward N. Zalta}, booktitle = {The Stanford Encyclopedia of Philosophy}, edition = {summer 2020}, url = {https://plato.stanford.edu/archives/sum2020/entries/quantification/}, )