四海为家的人
发表于 2025-3-23 13:13:08
https://doi.org/10.1007/978-3-642-60302-0In this chapter we fix a particular syntax for a dependently typed calculus and define an abstract notion of model as well as a general interpretation function mapping syntactical objects to entities in a model. This interpretation function is shown to be sound with respect to the syntax.
HILAR
发表于 2025-3-23 15:51:33
Continuous Asymmetric Hydrogenation,In this chapter we study models for quotient types and the related constructs of functional and propositional extensionality. The general method is to construct models in which types are interpreted as types together with partial equivalence relations. Propositional equality at some type is then the associated partial equivalence relation.
投射
发表于 2025-3-23 19:14:17
That Soluble Specific Substance,We have compared extensional and intensional formulations of type theory and argued for the need for adding “extensional constructs” to the latter. These extensional constructs have been justified using syntactic models based on pure intensional type theory.
Canopy
发表于 2025-3-24 00:42:04
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beta-cells
发表于 2025-3-24 04:42:55
Extensionality and quotient types,In this chapter we study models for quotient types and the related constructs of functional and propositional extensionality. The general method is to construct models in which types are interpreted as types together with partial equivalence relations. Propositional equality at some type is then the associated partial equivalence relation.
Adenocarcinoma
发表于 2025-3-24 10:00:06
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的阐明
发表于 2025-3-24 12:55:34
Distinguished Dissertationshttp://image.papertrans.cn/e/image/319850.jpg
过分自信
发表于 2025-3-24 16:11:42
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Inflamed
发表于 2025-3-24 22:43:10
https://doi.org/10.1007/978-981-10-2510-5onal equality identified. The first property is undecidability of this theory; in view of the information loss in the equality reflection rule an obvious thing, which is nevertheless not completely trivial to prove (Section 3.2.2). The second property is the conservativity of extensional type theory
有常识
发表于 2025-3-25 00:51:10
https://doi.org/10.1007/978-3-319-53515-9ly provides these concepts, but also relates two approaches to program development in Martin-Löf type theory or the Extended Calculus of Constructions (ECC) . Under the first one specifications and types are freely mixed using .-types. This methodology underpins a project for development of