Natural deduction for non-classical logics
Studia Logica, ISSN: 1572-8730, Vol: 60, Issue: 1, Page: 119-160
1998
- 27Citations
- 12Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
We present a framework for machine implementation of families of nonclassical 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 soundness, completeness and proof normalization. We have implemented our work in the Isabelle Logical Framework. ©1998 Kluwer Academic Publishers.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=54649084581&origin=inward; http://dx.doi.org/10.1023/a:1005003904639; http://link.springer.com/10.1023/A:1005003904639; http://dx.doi.org/10.1023/a%3A1005003904639; https://dx.doi.org/10.1023/a%3A1005003904639; https://link.springer.com/article/10.1023/A:1005003904639
Springer Nature
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