Changing Preferences

This is an exploratory document for a new research line in logical semantics which is emerging from several current developments in computer science. Standard logic employs ''at' unstructured sets of statements for its theories and unstructured classes of models for its semantic universes. Nowadays, however, there is an incipient literature on structured universes of models as well as structured theories, both employing 'preference relations' of some sort. The purpose of this brief report is (1) to propose a more systematic framework for this trend, while also connecting it up with some historical predecessors, (2) to design some new logical systems bringing preferences out explicitly, thereby highlighting the theoretical properties of 'preferential reasoning' while raising some new kinds of technical question for further research, and (3) to link up with some current computational ideas (emerging also in the eld of linguistics), by bringing in the general dynamic logic of procedures as well as logical systems providing suitable ne-structure of information states.

[1]  F.J.M.M. Veltman,et al.  Logics for conditionals. , 1985 .

[2]  Bart Selman,et al.  The Complexity of Model-Preference Default Theories , 1988, NMR.

[3]  John P. Burgess,et al.  Quick completeness proofs for some logics of conditionals , 1981, Notre Dame J. Formal Log..

[4]  Johan van Benthem,et al.  The Logic of Time , 1983 .

[5]  Johan van Benthem Logic and the flow of information , 1995 .

[6]  D.J.N. vanEijck,et al.  A sound and complete calculus for update logic , 1991 .

[7]  Brian F. Chellas Basic conditional logic , 1975, J. Philos. Log..

[8]  Elias George Coenraad Thijsse,et al.  Partial logic and knowledge representation , 1992 .

[9]  Maarten de Rijke Meeting some neighbours , 1992 .

[10]  Jon Doyle,et al.  Belief Revision: Reason maintenance and belief revision: Foundations versus coherence theories , 1992 .

[11]  Yoav Shoham,et al.  Varieties of Context , 1991, Artificial and Mathematical Theory of Computation.

[12]  M. de Rijke,et al.  The Modal Logic of Inequality , 1992, J. Symb. Log..

[13]  J.F.A.K. van Benthem,et al.  A manual of intensional logic , 1989 .

[14]  Wolfgang Spohn,et al.  Ordinal Conditional Functions: A Dynamic Theory of Epistemic States , 1988 .

[15]  Johan van Benthem,et al.  Semantic Parallels in Natural Language and Computation , 1989 .

[16]  Jan van Eijck,et al.  Reasoning about update logic , 1993, J. Philos. Log..

[17]  Vladimir Lifshitz,et al.  Circumscriptive theories: A logic-based framework for knowledge representation , 1988, J. Philos. Log..

[18]  B. D. Finetti La prévision : ses lois logiques, ses sources subjectives , 1937 .

[19]  Frank Veltman,et al.  Defaults in update semantics , 1996, J. Philos. Log..

[20]  J. Benthem Essays in Logical Semantics , 1986 .

[21]  J.F.A.K. van Benthem,et al.  Modal logic and classical logic , 1983 .

[22]  Dag Westerståhl,et al.  Determiners and Context Sets , 1985 .

[23]  P. Doherty NML3 : a non-monotonic formalism with explicit defaults , 1991 .

[24]  Jan van Eijck,et al.  Dynamic interpretation and hoare deduction , 1992, J. Log. Lang. Inf..

[25]  Martin Hollis,et al.  Philosophy and economic theory , 1980 .

[26]  Y. Shoham Reasoning About Change: Time and Causation from the Standpoint of Artificial Intelligence , 1987 .