LF : A foundational higher-order logic

Journal article

Goodsell, Zachary and Yli-Vakkuri, Tuomo Juhani. (2024). LF : A foundational higher-order logic. PsyArXiv Preprints. 1, pp. 1-21. https://doi.org/10.48550/arXiv.2401.11050
AuthorsGoodsell, Zachary and Yli-Vakkuri, Tuomo Juhani
Abstract

This paper presents a new system of logic, LF, that is intended to be used as the foundation of the formalization of science. That is, deductive validity according to LF is to be used as the criterion for assessing what follows from the verdicts, hypotheses, or conjectures of any science. In work currently in progress, we argue for the unique suitability of LF for the formalization of logic, mathematics, syntax, and semantics. The present document specifies the language and rules of LF, lays out some key notational conventions, and states some basic technical facts about the system.

KeywordsLF; Formalization of science; Logic; Syntax; Mathematics; Semantics
Year01 Jan 2024
JournalPsyArXiv Preprints
Journal citation1, pp. 1-21
PublisherCornell University Press
ISSNPsyA-rXiv
Digital Object Identifier (DOI)https://doi.org/10.48550/arXiv.2401.11050
Web address (URL)https://arxiv.org/abs/2401.11050
Open accessOpen access
Research or scholarlyResearch
Page range1-21
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All rights reserved
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Open
Output statusPublished
Publication dates
Online19 Jan 2024
Publication process dates
Deposited09 May 2024
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arXiv.org perpetual, non-exclusive license 1.0
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Place of publicationUnited States
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