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HOL Metatheory of Relevant Implication Syntax and Semantics

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Date

2022

Authors

Taylor, James Tanfield

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Abstract

We mechanise two Hilbert systems, a Natural Deduction system, the Routley-Meyer semantics, and the Cover semantics for the Relevant Logic R in HOL4. We also show equivalence results between one of the Hilbert Systems and the other Hilbert system and the Natural Deduction system. We also show soundness and completeness results between the one of the Hilbert Systems and the two Semantic systems, thereby producing machine checked proofs of all of these results.

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Keywords

Relevant Logic, Relevance Logic, Non-Classical Logic, Relevant Implication, Routley-Meyer Semantics, Goldblatt Semantics, Interactive Theorem Proving, ITP, HOL, HOL4, Higher Order Logic, Logic, Mechanisation

Citation

URI

http://hdl.handle.net/1885/268767

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Open Access Theses

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Type

Thesis (Honours)

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DOI

10.25911/ACFH-JC17

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