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A realizability semantics for inductive formal topologies, Church's Thesis and Axiom of Choice.

, , and . Log. Methods Comput. Sci., (2021)

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Quotients over Minimal Type Theory.. CiE, volume 4497 of Lecture Notes in Computer Science, page 517-531. Springer, (2007)Constructive version of Boolean algebra., , and . Logic Journal of the IGPL, 21 (1): 44-62 (2013)Inductive and Coinductive Topological Generation with Church's thesis and the Axiom of Choice., , and . Log. Methods Comput. Sci., (2022)Modular correspondence between dependent type theories and categories including pretopoi and topoi.. Math. Struct. Comput. Sci., 15 (6): 1089-1149 (2005)On Choice Rules in Dependent Type Theory.. TAMC, volume 10185 of Lecture Notes in Computer Science, page 12-23. (2017)A characterization of generalized existential completions., and . Ann. Pure Appl. Log., 174 (4): 103234 (April 2023)Elementary Quotient Completions, Church's Thesis, and Partioned Assemblies., , and . Logical Methods in Computer Science, (2019)Preface., , , and . Ann. Pure Appl. Log., 167 (9): 725 (2016)A Predicative Variant of a Realizability Tripos for the Minimalist Foundation., and . FLAP, 3 (4): 595-668 (2016)Toward a minimalistic foundation for constructive mathematics., and . From sets and types to topology and analysis, volume 48 of Oxford logic guides, Oxford University Press, (2005)