DOI10.1017/S0305004100057534zbMath0451.03027OpenAlexW4243933121MaRDI QIDQ3897050
J. M. E. Hyland, Andrew M. Pitts, Peter T. Johnstone
Publication date: 1980
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004100057534
Remarks on the tripos to topos construction: comprehension, extensionality, quotients and functional-completeness ⋮
AFFINE LOGIC FOR CONSTRUCTIVE MATHEMATICS ⋮
The effects of effects on constructivism ⋮
Limiting partial combinatory algebras ⋮
Computational adequacy for recursive types in models of intuitionistic set theory ⋮
Extensional realizability ⋮
Dialectica logical principles ⋮
Kleene computable functionals and the higher order existence property ⋮
On a generalization of equilogical spaces ⋮
A small complete category ⋮
Colimit completions and the effective topos ⋮
A topos for continuous logic ⋮
On Church's formal theory of functions and functionals. The \(\lambda\)- calculus: Connections to higher type recursion theory, proof theory, category theory ⋮
Triposes as a generalization of localic geometric morphisms ⋮
Partial hyperdoctrines: categorical models for partial function logic and Hoare logic ⋮
Relating first-order set theories, toposes and categories of classes ⋮
Dictoses ⋮
Triposes, exact completions, and Hilbert's \(\varepsilon\)-operator ⋮
Functoriality of modified realizability ⋮
Higher-Order Categorical Substructural Logic: Expanding the Horizon of Tripos Theory ⋮
Fibrations and recursivity ⋮
Sheaves of structures, Heyting‐valued structures, and a generalization of Łoś's theorem ⋮
Dialectica principles via Gödel doctrines ⋮
An exper model for Quest ⋮
The category of implicative algebras and realizability ⋮
A characterization of generalized existential completions ⋮
On categorical structures arising from implicative algebras: from topology to assemblies ⋮
Nonstandard proof methods in toposes ⋮
What should a generic object be? ⋮
Categorical semantics for higher order polymorphic lambda calculus ⋮
Ordered combinatory algebras and realizability ⋮
Categories of partial equivalence relations as localizations ⋮
Characterizing partitioned assemblies and realizability toposes ⋮
Two remarks on the Lifschitz realizability topos ⋮
Realizability in ordered combinatory algebras with adjunction ⋮
Triposes, q-toposes and toposes ⋮
Frame-fuzzy points and membership ⋮
Mathematical logic: proof theory, constructive mathematics. Abstracts from the workshop held November 8--14, 2020 (hybrid meeting) ⋮
Regular functors and relative realisability categories ⋮
The category of equilogical spaces and the effective topos as homotopical quotients ⋮
Classical realizability in the CPS target language ⋮
The modified realizability topos ⋮
On (co)products of partial combinatory algebras, with an application to pushouts of realizability toposes ⋮
A PREDICATIVE VARIANT OF HYLAND’S EFFECTIVE TOPOS ⋮
Consistency of the intensional level of the minimalist foundation with Church's thesis and axiom of choice ⋮
A co-free construction for elementary doctrines ⋮
Unifying exact completions ⋮
The existential completion ⋮
A minimalist two-level foundation for constructive mathematics ⋮
Equilogical spaces ⋮
Differential equations in constructive analysis and in the recursive realizability topos ⋮
Relative and modified relative realizability ⋮
An application of open maps to categorical logic ⋮
Aspects of Categorical Recursion Theory ⋮
FIBRED ALGEBRAIC SEMANTICS FOR A VARIETY OF NON-CLASSICAL FIRST-ORDER LOGICS AND TOPOLOGICAL LOGICAL TRANSLATION ⋮
Models of intuitionistic set theory in subtoposes of nested realizability toposes ⋮
A characterization of the left exact categories whose exact completions are toposes
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