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For twenty years the Nuprl (" new pearl ") system has been used to develop software systems and formal theories of computational mathematics. It has also been used to explore and implement computational type theory (CTT) – a formal theory of computation closely related to Martin-Löf's intuitionistic type theory (ITT) and to the calculus of inductive(More)
The Nuprl system is a framework for reasoning about mathematics and programming. Over the years its design has been substantially improved to meet the demands of large-scale applications. Nuprl LPE, the newest release, features an open, distributed architecture centered around a flexible knowledge base and supports the cooperation of independent formal(More)
MetaPRL is the latest system to come out of over twenty five years of research by the Cornell PRL group. While initially created at Cornell, MetaPRL is currently a collaborative project involving several universities in several countries. The MetaPRL system combines the properties of an interactive LCF-style tactic-based proof assistant, a logical(More)
Preface This manual describes the first prototype of a new kind of system which we call a Formal Digital Library (FDL). We designed the system and assembled the prototype as part of a research project sponsored by the Office of Naval Research entitled Building Interactive Digital Libraries of Formal Algorithmic Knowledge. A key purpose of the prototype(More)
As the amount of online formal mathematical content grows, for example through active efforts such as the Mathweb [21], MOWGLI [4], Formal Digital Library, or FDL [1], and others, it becomes increasingly valuable to find automated means to manage this data and capture semantics such as relatedness and significance. We apply graph-based approaches, such as(More)
We describe a link between the Nuprl and PVS proof systems that enables users to access PVS from the Nuprl theorem proving environment , to import PVS theories into the Nuprl library, and to browse both Nuprl and PVS theories in a unified formal framework. The combined system is a first step towards a digital library of formalized mathematics that can be(More)
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