A dynamic characterization of the pure logic of relevant implication
- Author
- Diderik Batens (UGent)
- Organization
- Abstract
- This paper spells out a dynamic proof format for the pure logic of relevant implication. (A proof is dynamic if a formula derived at some stage need not be derived at a later stage). The papers illustrates three interesting points. (i) A set of properties that characterizes an inference relation on the (very natural) dynamic proof interpretation, need not characterize the same inference relation (or even any inference relation) on the usual set-theoretical interpretation. (ii) A proof format may display an internal dynamics (defeasible conclusions) in the absence of an external dynamics (non-monotonicity). (iii) A monotonic logic may have a non-monotonic characterization.
- Keywords
- dynamic proofs, relevant implication, non-monotonicity
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-321513
- MLA
- Batens, Diderik. “A Dynamic Characterization of the Pure Logic of Relevant Implication.” JOURNAL OF PHILOSOPHICAL LOGIC, vol. 30, no. 3, KLUWER ACADEMIC PUBL, 2001, pp. 276–80.
- APA
- Batens, D. (2001). A dynamic characterization of the pure logic of relevant implication. JOURNAL OF PHILOSOPHICAL LOGIC, 30(3), 276–280.
- Chicago author-date
- Batens, Diderik. 2001. “A Dynamic Characterization of the Pure Logic of Relevant Implication.” JOURNAL OF PHILOSOPHICAL LOGIC 30 (3): 276–80.
- Chicago author-date (all authors)
- Batens, Diderik. 2001. “A Dynamic Characterization of the Pure Logic of Relevant Implication.” JOURNAL OF PHILOSOPHICAL LOGIC 30 (3): 276–280.
- Vancouver
- 1.Batens D. A dynamic characterization of the pure logic of relevant implication. JOURNAL OF PHILOSOPHICAL LOGIC. 2001;30(3):276–80.
- IEEE
- [1]D. Batens, “A dynamic characterization of the pure logic of relevant implication,” JOURNAL OF PHILOSOPHICAL LOGIC, vol. 30, no. 3, pp. 276–280, 2001.
@article{321513, abstract = {{This paper spells out a dynamic proof format for the pure logic of relevant implication. (A proof is dynamic if a formula derived at some stage need not be derived at a later stage). The papers illustrates three interesting points. (i) A set of properties that characterizes an inference relation on the (very natural) dynamic proof interpretation, need not characterize the same inference relation (or even any inference relation) on the usual set-theoretical interpretation. (ii) A proof format may display an internal dynamics (defeasible conclusions) in the absence of an external dynamics (non-monotonicity). (iii) A monotonic logic may have a non-monotonic characterization.}}, author = {{Batens, Diderik}}, issn = {{0022-3611}}, journal = {{JOURNAL OF PHILOSOPHICAL LOGIC}}, keywords = {{dynamic proofs,relevant implication,non-monotonicity}}, language = {{eng}}, number = {{3}}, pages = {{276--280}}, publisher = {{KLUWER ACADEMIC PUBL}}, title = {{A dynamic characterization of the pure logic of relevant implication}}, volume = {{30}}, year = {{2001}}, }