Automating Boundary Filling in Cubical Type Theories

Συγγραφείς: Doré, Maximilian, Author, Cavallo, Evan, Author, Mörtberg, Anders, 1986-, Author

Συνεισφορές: Doré, Maximilian, Author, Cavallo, Evan, Author, Mörtberg, Anders, 1986-, Author

Πηγή: Logical Methods in Computer Science. 22(2)

Θεματικοί όροι: Automated Reasoning, Constraint Satisfaction Programming, Cubical Type Theory

Περιγραφή αρχείου: print

Σύνδεσμος πρόσβασης: https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-259040
https://doi.org/10.46298/lmcs-22(2:28)2026

The Conatural Numbers Form an Exponential Commutative Semiring

Συγγραφείς: Xie, Szumi, Bense, Viktor

Πηγή: Proceedings of the 10th ACM SIGPLAN International Workshop on Type-Driven Development. :52-63

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3759538.3759654

A Modal Deconstruction of Löb Induction

Συγγραφείς: Gratzer, Daniel

Πηγή: Proceedings of the ACM on Programming Languages. 9(POPL):864-892

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3704866

Towards Coherence Depth Two for Cubical Sealed Extensions

Συγγραφείς: Lande, Halvor Sannes

Θεματικοί όροι: Cubical Agda, Type Theory, Mathematical Logic, Proof Assistants, Cubical Type Theory, Coherence, Univalence, Formal Methods, Theoretical Computer Science

Internal and Observational Parametricity for Cubical Agda

Συγγραφείς: Van Muylder, Antoine, Nuyts, Andreas, Devriese, Dominique

Πηγή: Proceedings of the ACM on Programming Languages. 8(POPL):209-240

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3632850

Syntax and models of Cartesian cubical type theory

Συγγραφείς: Angiuli, Carlo, Author, Brunerie, Guillaume, Author, Coquand, Thierry, 1961, Author, Harper, Robert, Author, Hou Favonia, Kuen-Bang, Author, Licata, Daniel R., Author

Συνεισφορές: Angiuli, Carlo, Author, Brunerie, Guillaume, Author, Coquand, Thierry, 1961, Author, Harper, Robert, Author, Hou Favonia, Kuen-Bang, Author, Licata, Daniel R., Author

Πηγή: Mathematical Structures in Computer Science. 31(4):424-468

Θεματικοί όροι: homotopy type theory, Gluing, Geometry, Syntactics, Glues, cubical type theory

Περιγραφή αρχείου: electronic

Σύνδεσμος πρόσβασης: https://research.chalmers.se/publication/547296
https://research.chalmers.se/publication/547296/file/547296_Fulltext.pdf

Cubical methods in homotopy type theory and univalent foundations

Συγγραφείς: Mörtberg, Anders, Author

Συνεισφορές: Mörtberg, Anders, Author

Πηγή: Mathematical Structures in Computer Science. 31(10):1147-1184

Θεματικοί όροι: Homotopy type theory, univalent foundations, cubical type theory, cubical set models

Περιγραφή αρχείου: print

Σύνδεσμος πρόσβασης: https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-199760
https://doi.org/10.1017/S0960129521000311

Eliminating Reversals from Cubical Type Theories

Συγγραφείς: Cavallo, Evan, Sattler, Christian

Συνεισφορές: Evan Cavallo and Christian Sattler

Θεματικοί όροι: Dependent type theory, univalence, cubical type theory

Περιγραφή αρχείου: application/pdf

Relation: Is Part Of LIPIcs, Volume 380, 41st Annual Symposium on Logic in Computer Science (LICS 2026); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.LICS.2026.27

Διαθεσιμότητα: https://doi.org/10.4230/LIPIcs.LICS.2026.27
https://nbn-resolving.org/urn:nbn:de:0030-drops-268148
https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.LICS.2026.27

The Biequivalence of Path Categories and Axiomatic Martin-Löf Type Theories

Συγγραφείς: Otten, Daniël, Spadetto, Matteo

Συνεισφορές: Daniël Otten and Matteo Spadetto

Θεματικοί όροι: Axiomatic type theory, cubical type theory, propositional equality, biequivalence, display map categories, path categories, homotopy theory, coherence

Περιγραφή αρχείου: application/pdf

Relation: Is Part Of LIPIcs, Volume 363, 34th EACSL Annual Conference on Computer Science Logic (CSL 2026); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2026.38

Διαθεσιμότητα: https://doi.org/10.4230/LIPIcs.CSL.2026.38
https://nbn-resolving.org/urn:nbn:de:0030-drops-254633
https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2026.38

Canonicity and homotopy canonicity for cubical type theory

Συγγραφείς: Coquand, Thierry, 1961, Author, Huber, Simon, 1984, Author, Sattler, Christian, 1988, Author

Συνεισφορές: Coquand, Thierry, 1961, Author, Huber, Simon, 1984, Author, Sattler, Christian, 1988, Author

Πηγή: Bevisteori och semantik för homotopitypteori i högre ordningens kategorier Logical Methods in Computer Science. 18(1)

Θεματικοί όροι: univalence, sconing, cubical type theory, canonicity, Artin glueing

Περιγραφή αρχείου: electronic

Σύνδεσμος πρόσβασης: https://research.chalmers.se/publication/528701
https://research.chalmers.se/publication/528701/file/528701_Fulltext.pdf

Partial Univalence in n-truncated Type Theory

Συγγραφείς: Sattler, Christian, Vezzosi, Andrea

Πηγή: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science. :807-819

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3373718.3394759

Formalizing 𝜋-calculus in guarded cubical Agda

Συγγραφείς: Veltri, Niccolò, Vezzosi, Andrea

Πηγή: Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs. :270-283

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3372885.3373814

Cubical synthetic homotopy theory

Συγγραφείς: Mörtberg, Anders, Pujet, Loïc

Πηγή: Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs. :158-171

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3372885.3373825

Internalizing Representation Independence with Univalence

Συγγραφείς: Angiuli, Carlo, Author, Cavallo, Evan, Author, Mörtberg, Anders, Author, Zeuner, Max, Author

Συνεισφορές: Angiuli, Carlo, Author, Cavallo, Evan, Author, Mörtberg, Anders, Author, Zeuner, Max, Author

Πηγή: Proceedings of the ACM on Programming Languages. 5(POPL)

Θεματικοί όροι: Representation Independence, Univalence, Higher Inductive Types, Proof Assistants, Cubical Type Theory

Περιγραφή αρχείου: print

Σύνδεσμος πρόσβασης: https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-196801
https://doi.org/10.1145/3434293

The biequivalence of path categories and axiomatic Martin-Löf type theories

Συγγραφείς: Otten, Daniël, Spadetto, Matteo

Συνεισφορές: Daniël Otten and Matteo Spadetto

Πηγή: CoRR.

Θεματικοί όροι: FOS: Computer and information sciences, Logic, Logic in Computer Science, Axiomatic type theory, homotopy theory, biequivalence, coherence, Logic in Computer Science (cs.LO), path categories, 03F50, 03G30, 18C10, 03B38, 03B70, 18N45, 18D30, 55U35, 55U40, propositional equality, Algebraic Topology, FOS: Mathematics, display map categories, Category Theory, Algebraic Topology (math.AT), F.4.1, Category Theory (math.CT), cubical type theory, Logic (math.LO)

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2503.15431
https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2026.38

Degrees of Relatedness : A Unified Framework for Parametricity, Irrelevance, Ad Hoc Polymorphism, Intersections, Unions and Algebra in Dependent Type Theory

Συγγραφείς: Nuyts, Andreas, Devriese, Dominique

Πηγή: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science. :779-788

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3209108.3209119

On Higher Inductive Types in Cubical Type Theory

Συγγραφείς: Coquand, Thierry, Huber, Simon, Mörtberg, Anders

Πηγή: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science. :255-264

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3209108.3209197

Cubical agda: a dependently typed programming language with univalence and higher inductive types

Συγγραφείς: Vezzosi, Andrea, Mörtberg, Anders, Abel, Andreas

Πηγή: Proceedings of the ACM on Programming Languages. 3(ICFP):1-29

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3341691

Bisimulation as path type for guarded recursive types

Συγγραφείς: Møgelberg, Rasmus Ejlers, Veltri, Niccolò

Πηγή: Proceedings of the ACM on Programming Languages. 3(POPL):1-29

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3290317

Higher inductive types in cubical computational type theory

Συγγραφείς: Cavallo, Evan, Harper, Robert

Πηγή: Proceedings of the ACM on Programming Languages. 3(POPL):1-27

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3290314