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  Natural deduction for non-classical logics

Basin, D., Matthews, S., & Viganò, L.(1996). Natural deduction for non-classical logics (MPI-I-1996-2-006). Saarbrücken: Max-Planck-Institut für Informatik.

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MPI-I-96-2-006.pdf (Preprint), 455KB
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MPI-I-96-2-006.pdf
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 Creators:
Basin, David1, Author           
Matthews, Seán1, Author           
Viganò, Luca1, Author           
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1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We present a framework for machine implementation of families of non-classical logics with Kripke-style semantics. We decompose a logic into two interacting parts, each a natural deduction system: a base logic of labelled formulae, and a theory of labels characterizing the properties of the Kripke models. By appropriate combinations we capture both partial and complete fragments of large families of non-classical logics such as modal, relevance, and intuitionistic logics. Our approach is modular and supports uniform proofs of correctness and proof normalization. We have implemented our work in the Isabelle Logical Framework.

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Language(s): eng - English
 Dates: 1996
 Publication Status: Issued
 Pages: 44 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-1996-2-006
BibTex Citekey: BasinMatthewsVigano96
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Title: Research Report / Max-Planck-Institut für Informatik
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