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Logic without Model Theory (1994)  (Make Corrections)  (8 citations)
Robert Kowalski
What is a Logical System?



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Abstract: Arguably, model theory serves two main functions: (1) to explain the relationship between language and experience, and (2) to specify the notion of logical consequence. In this paper I shall propose the notion of `knowledge assimilation', the assimilation of new information into a knowledge base, as an alternative understanding of the way in which a knowledge base formulated in logic relates to externally generated input sentences that describe experience. I shall argue that the notion of... (Update)

Context of citations to this paper:   More

...promising, following the line suggested by Kowalski to conceive [ a mental language in which an agent subjectively constructs internal representations of its experience and beliefs and uses those representations to derive logical consequences. R. Kowalski in [Kow94],...

...of building up a mental model of a language user. The second and the third ways lead to the concept of knowledge assimilation [Kowalski 93] According to this proof theoretic approach a DRS is processed by resource constrained deduction and tested whether it can be...

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0.5:   Quantitative Deduction And Its Fixpoint Theory - van Emden (1986)   (Correct)

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BibTeX entry:   (Update)

Robert Kowalski. Logic without model theory. In Dov Gabbay, editor, What is a logical system?, chapter 2, pages 35--71. 1994. (Also at http://wwwlp. doc.ic.ac.uk/ lp/Kowalski/models.ps). http://citeseer.ist.psu.edu/kowalski94logic.html   More

@incollection{ kowalski94logic,
    author = "R. Kowalski",
    title = "{Logic without Model Theory}",
    booktitle = "What is a Logical System?",
    publisher = "Oxford University Press",
    editor = "D. M. Gabbay",
    pages = "35--71",
    year = "1994",
    url = "citeseer.ist.psu.edu/kowalski94logic.html" }
Citations (may not include all citations):
634   A Machine Oriented Logic Based on the Resolution Principle (context) - Robinson - 1965
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212   Abductive Logic Programming - Kakas, Kowalski et al. - 1992
186   Automated Theorem Proving: A Logical Basis (context) - Loveland - 1978
156   SATCHMO: A theorem prover implemented in Prolog (context) - Manthey, Bry - 1988
96   Logic and Information (context) - Devlin - 1991
86   AmalgamatingLanguage and Metalanguage in Logic Programming (context) - Bowen, Kowalski - 1982
55   Analysis of metaprograms (context) - Hill, Lloyd - 1989
48   A theorem proving approach to database integrity (context) - Sadri, Kowalski - 1987
44   Languages with Self-Reference I : Foundations (context) - Perlis
42   Knowledge in Flux: Modelling the dynamics of epistemic state.. (context) - Gardenfors - 1988
42   Problems and Promises of Computational Logic (context) - Kowalski - 1990
38   the Logic of Theory Change: Partial meet functions for contr.. (context) - Alchourr'on, Gardenfors et al. - 1985
29   Composition operators for logic theories (context) - Brogi, Mancarella et al. - 1990
28   Language with Self-Reference II: Knowledge (context) - Perlis
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24   Model Generation Theorem Provers on a Parallel Inference Mac.. (context) - Fujita, Hasegawa et al. - 1992
18   A Metalogic Programming Approach to Multi-Agent Knowledge an.. (context) - Kowalski, Kim - 1991
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9   and Byrne (context) - Johnson-Laird - 1991
7   Metaprogramming through a truth predicate (context) - Sato - 1992
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6   A Point of Reference (context) - Richards - 1974
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5   Micro-Prolog: Programming in Logic (context) - Clark, McCabe - 1984
3   The Logical Content of Theories of Deduction (context) - Hodges - 1993
3   Classical versus non-classical logic (context) - Gabbay - 1993
3   the semantics of real metalogic programming - a preliminary .. (context) - Jiang - 1993
2   Basil Blanckwell Ltd (context) - Sperber, Wilson - 1986
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1   A note on syntactic treatments of modality (context) - Richmond - 1980
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