橱柜 发表于 2025-3-21 18:56:58
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Constructively Equivalent Propositions and Isomorphisms of Objects, or Terms as Natural Transformatte and we refer the reader interested in the lengthy technical details to Bruce & DiCosmo & Longo . Our main purpose here is to hint a logical framework for the result below, in a rather preliminary and problematic form. The occasion is provided by the kind invitation to deliver a lecture at a反复拉紧 发表于 2025-3-22 04:57:28
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Normal Forms and Cut-Free Proofs as Natural Transformations, identifications must hold between lambda terms, thought-of as encoding appropriate natural deduction proofs ? We show that the usual syntax guarantees that certain naturality equations from category theory are necessarily provable. At the same time, our categorical approach addresses an equational安装 发表于 2025-3-22 15:16:14
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Constructive Kripke Semantics and Realizability,ntics, and conversely? These questions have received answers in Hyland’s , Läuchli’s and in other, related or more syntactic developments cited below. Here we re-open the investigation with the aim of providing more constructive answers to both questions. A special, constructive class of soGlower 发表于 2025-3-23 07:25:29
Splitting and Density for the Recursive Sets of a Fixed Time Complexity,if for all time constructible . ∈ .. (.) ⇔ . ∈ ..(.). The =.-equivalence class of . is called it .. We examine the set theoretic relationships between the sets in an arbitrary complexity type .. For example, every recursive set . can be partitioned into two sets . and . such that . =.. =... Addition