Studia Logica 53 (2):161 - 201 (1994)
Abstract |
A. Tarski [22] proposed the study of infinitary consequence operations as the central topic of mathematical logic. He considered monotonicity to be a property of all such operations. In this paper, we weaken the monotonicity requirement and consider more general operations, inference operations. These operations describe the nonmonotonic logics both humans and machines seem to be using when infering defeasible information from incomplete knowledge. We single out a number of interesting families of inference operations. This study of infinitary inference operations is inspired by the results of [12] on nonmonotonic inference relations, and relies on some of the definitions found there.
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DOI | 10.1007/BF01054708 |
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References found in this work BETA
Logic, Semantics, Metamathematics: Papers From 1923 to 1938.I. Grattan-Guinness - 1956 - Journal of Symbolic Logic 54 (1):281-282.
Nonmonotonic Inference Operations.Michael Freund & Daniel Lehmann - 1993 - Logic Journal of the IGPL 1 (1):23-68.
The Relationship Between KLM and MAK Models for Nonmonotonic Inference Operations.Jürgen Dix & David Makinson - 1992 - Journal of Logic, Language and Information 1 (2):131-140.
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Citations of this work BETA
Infinitary Belief Revision.Dongmo Zhang & Norman Foo - 2001 - Journal of Philosophical Logic 30 (6):525-570.
Generalized Compactness of Nonmonotonic Inference Operations.Heinrich Herre - 1995 - Journal of Applied Non-Classical Logics 5 (1):121-135.
Defaults as Restrictions on Classical Hilbert-Style Proofs.Gianni Amati, Luigia Carlucci Aiello & Fiora Pirri - 1994 - Journal of Logic, Language and Information 3 (4):303-326.
New Techniques and Completeness Results for Preferential Structures.Karl Schlechta - 2000 - Journal of Symbolic Logic 65 (2):719-746.
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