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Author ID: awodey.steve Recent zbMATH articles by "Awodey, Steve"
Published as: Awodey, Steve; Awodey, S.; Awodey, Steven
Further Spellings: Awodey, Steven M.
Homepage: http://www.andrew.cmu.edu/user/awodey/
External Links: MGP · Wikidata · Google Scholar · GND · IdRef
Documents Indexed: 51 Publications since 1996, including 2 Books
2 Contributions as Editor · 2 Further Contributions
Reviewing Activity: 2 Reviews
Co-Authors: 26 Co-Authors with 34 Joint Publications
419 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 470 times in 365 Documents Cited by Year
Homotopy type theory. Univalent foundations of mathematics. Zbl 1298.03002
The Univalent Foundations Program
122
2013
Category theory. 2nd ed. Zbl 1194.18001
Awodey, Steve
63
2010
Homotopy theoretic models of identity types. Zbl 1205.03065
Awodey, Steve; Warren, Michael A.
61
2009
Category theory. Zbl 1100.18001
Awodey, Steve
58
2006
Completeness and categoricity. I: Nineteenth-century axiomatics to twentieth-century metalogic. Zbl 1031.03002
Awodey, Steve; Reck, Erich H.
26
2002
Propositions as [types]. Zbl 1050.03016
Awodey, Steven; Bauer, Andrej
23
2004
Carnap, completeness, and categoricity: The Gabelbarkeitssatz of 1928. Zbl 0988.03007
Awodey, S.; Carus, A. W.
17
2001
An answer to Hellman’s question: “Does category theory provide a framework for mathematical structuralism?”. Zbl 1065.18002
Awodey, Steve
15
2004
Topology and modality: the topological interpretation of first-order modal logic. Zbl 1204.03023
Awodey, Steve; Kishida, Kohei
12
2008
Natural models of homotopy type theory. Zbl 1456.03023
Awodey, Steve
11
2018
First-order logical duality. Zbl 1275.03169
Awodey, Steve; Forssell, Henrik
11
2013
Structure in mathematics and logic: A categorical perspective. Zbl 0874.00012
Awodey, S.
11
1996
Structuralism, invariance, and univalence. Zbl 1310.03021
Awodey, Steve
11
2014
Relating first-order set theories, toposes and categories of classes. Zbl 1323.03073
Awodey, Steve; Butz, Carsten; Simpson, Alex; Streicher, Thomas
10
2014
A cubical model of homotopy type theory. Zbl 06958068
Awodey, Steve
10
2018
Type theory and homotopy. Zbl 1314.03013
Awodey, Steve
9
2012
Completeness and categoricity. II: Twentieth-century metalogic to twenty-first-century semantics. Zbl 1038.03003
Awodey, Steve; Reck, Erich H.
8
2002
Inductive types in homotopy type theory. Zbl 1364.03014
Awodey, Steve; Gambino, Nicola; Sojakova, Kristina
8
2012
Relating first-order set theories and elementary toposes. Zbl 1152.03043
Awodey, Steve; Butz, Carsten; Simpson, Alex; Streicher, Thomas
7
2007
Modal operators and the formal dual of Birkhoff’s completeness theorem. Zbl 1040.18001
Awodey, Steve; Hughes, Jesse
7
2003
Predicative algebraic set theory. Zbl 1072.18004
Awodey, Steve; Warren, Michael A.
7
2005
Carnap’s dream: Gödel, Wittgenstein, and Logical Syntax. Zbl 1126.03004
Awodey, S.; Carus, A. W.
6
2007
Local realizability toposes and a modal logic for computability. Zbl 1007.03057
Awodey, Steven; Birkedal, Lars; Scott, Dana S.
6
2002
Elementary axioms for local maps of toposes. Zbl 1011.18002
Awodey, Steven; Birkedal, Lars
5
2003
A brief introduction to algebraic set theory. Zbl 1222.03056
Awodey, Steve
5
2008
Topos semantics for higher-order modal logic. Zbl 1364.03092
Awodey, Steve; Kishida, Kohei; Kotzsch, Hans-Christoph
5
2014
Voevodsky’s univalence axiom in homotopy type theory. Zbl 1337.03014
Awodey, Steve; Pelayo, Álvaro; Warren, Michael A.
5
2013
Ultrasheaves and double negation. Zbl 1093.03041
Awodey, Steve; Eliasson, Jonas
4
2004
Local realizability toposes and a modal logic for computability. (Extended abstract). Zbl 0959.03504
Awodey, Steven; Birkedal, Lars; Scott, Dana S.
4
1999
Topological completeness of first-order modal logic. Zbl 1291.03030
Awodey, Steve; Kishida, Kohei
4
2012
Homotopy-initial algebras in type theory. Zbl 1426.03016
Awodey, Steve; Gambino, Nicola; Sojakova, Kristina
4
2017
Gödel and Carnap. Zbl 1221.03002
Awodey, Steve; Carus, A. W.
3
2010
Topological representation of the \(\lambda\)-calculus. Zbl 0942.03015
Awodey, Steven
3
2000
Algebraic models of intuitionistic theories of sets and classes. Zbl 1085.18004
Awodey, S.; Forssell, H.
3
2005
Topological completeness for higher-order logic. Zbl 0977.03010
Awodey, S.; Butz, C.
3
2000
Impredicative encodings of (higher) inductive types. Zbl 1452.03030
Awodey, Steve; Frey, Jonas; Speight, Sam
3
2018
Lawvere-Tierney sheaves in algebraic set theory. Zbl 1183.03068
Awodey, S.; Gambino, N.; Lumsdaine, P. L.; Warren, M. A.
2
2009
Mini-workshop: The homotopy interpretation of constructive type theory. Abstracts from the mini-workshop held February 27th-March 05th, 2011. Zbl 1242.00037
2
2011
Kripke semantics for Martin-Löf’s extensional type theory. Zbl 1246.03022
Awodey, Steve; Rabe, Florian
2
2009
Kripke semantics for Martin-Löf’s extensional type theory. Zbl 1237.03007
Awodey, Steve; Rabe, Florian
2
2011
Continuity and logical completeness: an application of sheaf theory and topoi. Zbl 1129.03037
Awodey, Steve
2
2006
Sheaf representation for topoi. Zbl 0944.18003
Awodey, S.
2
2000
Homotopy type theory. Zbl 1304.03043
Awodey, Steve
2
2015
Martin-Löf complexes. Zbl 1323.03012
Awodey, Steve; Hofstra, Pieter; Warren, Michael A.
2
2013
Univalence as a principle of logic. Zbl 1437.03168
Awodey, Steve
2
2018
Sheaf toposes for realizability. Zbl 1161.03036
Awodey, Steven; Bauer, Andrej
1
2008
Structuralism, invariance, and univalence. Zbl 1496.18002
Awodey, Steve
1
2017
Sheaf representations and duality in logic. Zbl 07440903
Awodey, Steve
1
2021
From sets to types, to categories, to sets. Zbl 1317.03016
Awodey, Steve
1
2011
Sheaf representations and duality in logic. Zbl 07440903
Awodey, Steve
1
2021
Natural models of homotopy type theory. Zbl 1456.03023
Awodey, Steve
11
2018
A cubical model of homotopy type theory. Zbl 06958068
Awodey, Steve
10
2018
Impredicative encodings of (higher) inductive types. Zbl 1452.03030
Awodey, Steve; Frey, Jonas; Speight, Sam
3
2018
Univalence as a principle of logic. Zbl 1437.03168
Awodey, Steve
2
2018
Homotopy-initial algebras in type theory. Zbl 1426.03016
Awodey, Steve; Gambino, Nicola; Sojakova, Kristina
4
2017
Structuralism, invariance, and univalence. Zbl 1496.18002
Awodey, Steve
1
2017
Homotopy type theory. Zbl 1304.03043
Awodey, Steve
2
2015
Structuralism, invariance, and univalence. Zbl 1310.03021
Awodey, Steve
11
2014
Relating first-order set theories, toposes and categories of classes. Zbl 1323.03073
Awodey, Steve; Butz, Carsten; Simpson, Alex; Streicher, Thomas
10
2014
Topos semantics for higher-order modal logic. Zbl 1364.03092
Awodey, Steve; Kishida, Kohei; Kotzsch, Hans-Christoph
5
2014
Homotopy type theory. Univalent foundations of mathematics. Zbl 1298.03002
The Univalent Foundations Program
122
2013
First-order logical duality. Zbl 1275.03169
Awodey, Steve; Forssell, Henrik
11
2013
Voevodsky’s univalence axiom in homotopy type theory. Zbl 1337.03014
Awodey, Steve; Pelayo, Álvaro; Warren, Michael A.
5
2013
Martin-Löf complexes. Zbl 1323.03012
Awodey, Steve; Hofstra, Pieter; Warren, Michael A.
2
2013
Type theory and homotopy. Zbl 1314.03013
Awodey, Steve
9
2012
Inductive types in homotopy type theory. Zbl 1364.03014
Awodey, Steve; Gambino, Nicola; Sojakova, Kristina
8
2012
Topological completeness of first-order modal logic. Zbl 1291.03030
Awodey, Steve; Kishida, Kohei
4
2012
Mini-workshop: The homotopy interpretation of constructive type theory. Abstracts from the mini-workshop held February 27th-March 05th, 2011. Zbl 1242.00037
2
2011
Kripke semantics for Martin-Löf’s extensional type theory. Zbl 1237.03007
Awodey, Steve; Rabe, Florian
2
2011
From sets to types, to categories, to sets. Zbl 1317.03016
Awodey, Steve
1
2011
Category theory. 2nd ed. Zbl 1194.18001
Awodey, Steve
63
2010
Gödel and Carnap. Zbl 1221.03002
Awodey, Steve; Carus, A. W.
3
2010
Homotopy theoretic models of identity types. Zbl 1205.03065
Awodey, Steve; Warren, Michael A.
61
2009
Lawvere-Tierney sheaves in algebraic set theory. Zbl 1183.03068
Awodey, S.; Gambino, N.; Lumsdaine, P. L.; Warren, M. A.
2
2009
Kripke semantics for Martin-Löf’s extensional type theory. Zbl 1246.03022
Awodey, Steve; Rabe, Florian
2
2009
Topology and modality: the topological interpretation of first-order modal logic. Zbl 1204.03023
Awodey, Steve; Kishida, Kohei
12
2008
A brief introduction to algebraic set theory. Zbl 1222.03056
Awodey, Steve
5
2008
Sheaf toposes for realizability. Zbl 1161.03036
Awodey, Steven; Bauer, Andrej
1
2008
Relating first-order set theories and elementary toposes. Zbl 1152.03043
Awodey, Steve; Butz, Carsten; Simpson, Alex; Streicher, Thomas
7
2007
Carnap’s dream: Gödel, Wittgenstein, and Logical Syntax. Zbl 1126.03004
Awodey, S.; Carus, A. W.
6
2007
Category theory. Zbl 1100.18001
Awodey, Steve
58
2006
Continuity and logical completeness: an application of sheaf theory and topoi. Zbl 1129.03037
Awodey, Steve
2
2006
Predicative algebraic set theory. Zbl 1072.18004
Awodey, Steve; Warren, Michael A.
7
2005
Algebraic models of intuitionistic theories of sets and classes. Zbl 1085.18004
Awodey, S.; Forssell, H.
3
2005
Propositions as [types]. Zbl 1050.03016
Awodey, Steven; Bauer, Andrej
23
2004
An answer to Hellman’s question: “Does category theory provide a framework for mathematical structuralism?”. Zbl 1065.18002
Awodey, Steve
15
2004
Ultrasheaves and double negation. Zbl 1093.03041
Awodey, Steve; Eliasson, Jonas
4
2004
Modal operators and the formal dual of Birkhoff’s completeness theorem. Zbl 1040.18001
Awodey, Steve; Hughes, Jesse
7
2003
Elementary axioms for local maps of toposes. Zbl 1011.18002
Awodey, Steven; Birkedal, Lars
5
2003
Completeness and categoricity. I: Nineteenth-century axiomatics to twentieth-century metalogic. Zbl 1031.03002
Awodey, Steve; Reck, Erich H.
26
2002
Completeness and categoricity. II: Twentieth-century metalogic to twenty-first-century semantics. Zbl 1038.03003
Awodey, Steve; Reck, Erich H.
8
2002
Local realizability toposes and a modal logic for computability. Zbl 1007.03057
Awodey, Steven; Birkedal, Lars; Scott, Dana S.
6
2002
Carnap, completeness, and categoricity: The Gabelbarkeitssatz of 1928. Zbl 0988.03007
Awodey, S.; Carus, A. W.
17
2001
Topological representation of the \(\lambda\)-calculus. Zbl 0942.03015
Awodey, Steven
3
2000
Topological completeness for higher-order logic. Zbl 0977.03010
Awodey, S.; Butz, C.
3
2000
Sheaf representation for topoi. Zbl 0944.18003
Awodey, S.
2
2000
Local realizability toposes and a modal logic for computability. (Extended abstract). Zbl 0959.03504
Awodey, Steven; Birkedal, Lars; Scott, Dana S.
4
1999
Structure in mathematics and logic: A categorical perspective. Zbl 0874.00012
Awodey, S.
11
1996
all top 5

Cited by 429 Authors

18 Awodey, Steve
8 Gambino, Nicola
7 Coquand, Thierry
7 Shulman, Michael A.
6 Angiuli, Carlo
6 Garner, Richard
6 Harper, Robert
6 Warren, Michael Alton
5 Ahrens, Benedikt
5 Birkedal, Lars
5 Jacobs, Bart
5 Li, Qingguo
5 Lumsdaine, Peter LeFanu
5 Schiemer, Georg
5 Van den Berg, Benno
4 Gratzer, Daniel
4 Hofstra, Pieter J. W.
4 Kishida, Kohei
4 Møgelberg, Rasmus Ejlers
4 Reck, Erich H.
4 van der Weide, Niels
4 Wang, Longchun
3 Abramsky, Samson
3 Bauer, Andrej
3 Bimbó, Katalin
3 Bonsangue, Marcello Maria
3 Buchholtz, Ulrik
3 Butz, Carsten
3 Ellerman, David P.
3 Endrullis, Jörg
3 Frumin, Dan
3 Hötzel Escardó, Martín
3 Kapulkin, Krzysztof
3 Karakostas, Vassilios
3 Kavvos, G. A.
3 Kock, Joachim
3 Kraus, Nicolai
3 Kudryavtseva, Ganna
3 Licata, Daniel R.
3 Marquis, Jean-Pierre
3 Moerdijk, Ieke
3 Mörtberg, Anders
3 Palmgren, Erik
3 Pitts, Andrew M.
3 Rijke, Egbert
3 Rosolini, Giuseppe
3 Rosset, Aloïs
3 Silva, Alexandra
3 Spitters, Bas
3 Sterling, Jonathan
3 Streicher, Thomas
3 Swan, Andrew W.
3 Tsementzis, Dimitris
3 Uemura, Taichi
3 Veltri, Niccolò
3 Wißmann, Thorsten
3 Zafiris, Elias
2 Adámek, Jiří
2 Altenkirch, Thorsten
2 Ameri, Reza
2 Aranda, Víctor
2 Bezem, Marc
2 Bizjak, Aleš
2 Bourke, John
2 Buldt, Bernd
2 Carter, Jessica
2 Corfield, David
2 Danielsson, Nils Anders
2 Dougherty, John J. III
2 Dunn, Jon Michael
2 Dutilh Novaes, Catarina
2 Dybjer, Peter
2 Eder, Günther
2 Emmenegger, Jacopo
2 Estrada-González, Luis
2 Grattan-Guinness, Ivor
2 Graversen, Eva
2 Hellman, Geoffrey
2 Henry, Simon
2 Heunen, Chris
2 Hou (Favonia), Kuen-Bang
2 Huber, Simon
2 Hughes, Jesse
2 Jagadeesan, Radha
2 Kosiol, Jens
2 Kreinovich, Vladik Yakovlevich
2 Krídlo, Ondrej
2 Landry, Elaine
2 Maggesi, Marco
2 Mannaa, Bassel
2 Maruyama, Yoshihiro
2 McDonald, Joseph
2 Milius, Stefan
2 Moraschini, Tommaso
2 North, Paige Randall
2 Ojeda-Aciego, Manuel
2 Orton, Ian
2 Overbeek, Roy
2 Pelayo, Alvaro
2 Petrakis, Iosif
...and 329 more Authors
all top 5

Cited in 89 Serials

28 MSCS. Mathematical Structures in Computer Science
26 Annals of Pure and Applied Logic
25 Synthese
16 Logical Methods in Computer Science
12 The Bulletin of Symbolic Logic
12 The Review of Symbolic Logic
9 Journal of Pure and Applied Algebra
9 Theoretical Computer Science
8 Logica Universalis
7 The Journal of Symbolic Logic
6 Mathematical Logic Quarterly (MLQ)
6 Journal of Logical and Algebraic Methods in Programming
5 History and Philosophy of Logic
5 Journal of Functional Programming
4 Notre Dame Journal of Formal Logic
4 Studia Logica
4 Information and Computation
4 Erkenntnis
4 Foundations of Physics
4 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
3 Communications in Mathematical Physics
3 Algebra Universalis
3 Topology and its Applications
3 International Journal of Approximate Reasoning
3 Bulletin of the American Mathematical Society. New Series
3 Indagationes Mathematicae. New Series
3 Theory and Applications of Categories
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Semigroup Forum
2 Bulletin of the Section of Logic
2 Journal of Automated Reasoning
2 Archive for Mathematical Logic
2 Applied Categorical Structures
2 Applied and Computational Harmonic Analysis
2 Journal of Applied Logic
1 International Journal of Theoretical Physics
1 Information Processing Letters
1 Mathematische Semesterberichte
1 Russian Mathematical Surveys
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Computer and System Sciences
1 Journal of the London Mathematical Society. Second Series
1 Journal of Philosophical Logic
1 Mathematica Scandinavica
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Mathematical Social Sciences
1 Order
1 Journal of Symbolic Computation
1 Discrete & Computational Geometry
1 Forum Mathematicum
1 Formal Aspects of Computing
1 Games and Economic Behavior
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Applied Non-Classical Logics
1 Filomat
1 Selecta Mathematica. New Series
1 Annals of Mathematics and Artificial Intelligence
1 Constraints
1 Topoi
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Australian Mathematical Society
1 Logic and Logical Philosophy
1 Central European Journal of Mathematics
1 ACM Transactions on Computational Logic
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 Journal of Mathematics and Music
1 Operators and Matrices
1 Journal of Logic and Analysis
1 Eurasian Mathematical Journal
1 Axiomathes
1 Forum of Mathematics, Sigma
1 Axioms
1 International Journal of Analysis and Applications
1 Journal of Linear and Topological Algebra
1 Categories and General Algebraic Structures with Applications
1 Journal of Applied Mathematics and Computational Mechanics
1 Journal of Applied and Computational Topology
1 Higher Structures
all top 5

Cited in 37 Fields

240 Mathematical logic and foundations (03-XX)
153 Category theory; homological algebra (18-XX)
83 Computer science (68-XX)
51 Algebraic topology (55-XX)
41 General and overarching topics; collections (00-XX)
28 History and biography (01-XX)
25 Order, lattices, ordered algebraic structures (06-XX)
15 Quantum theory (81-XX)
9 General topology (54-XX)
8 Associative rings and algebras (16-XX)
8 Group theory and generalizations (20-XX)
6 General algebraic systems (08-XX)
5 Combinatorics (05-XX)
5 Functional analysis (46-XX)
5 Geometry (51-XX)
4 Algebraic geometry (14-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Relativity and gravitational theory (83-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Real functions (26-XX)
2 Differential geometry (53-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Probability theory and stochastic processes (60-XX)
2 Operations research, mathematical programming (90-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Systems theory; control (93-XX)

Citations by Year

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