How to Produce Information About a Given Entity Using Automated Deduction Methods

The standard method to retrieve information can be formally defined as follows. To ask a query, one gives the properties of the entities to be retrieved, and the answer is the set of all the entities that satisfy the query. Another method, is to ask the overall information about a given entity, and the answer is the corresponding information. An example of the first kind of query is: ''what are the drugs that contain a given molecule?'', an example of the second kind is: ''what are the properties of a given drug?''. This latter method has deserved very few researches though it has great potential practical applications. However, it raises many non trivial issues. The first one is to find a precise definition of the fact that a piece of information ''is about'' a given entity. We recall the formal definition that have been proposed in formal classical logic, and the main properties that follow from this definition. The second one is to adapt existing automated deduction methods to compute this new kind of answer, using either deduction or abduction techniques. Finally, we present potential extensions to our definition and guidelines for automated deduction strategies.

[1]  Alasdair Urquhart,et al.  What is Relevant Implication , 1989 .

[2]  Alan Robinson,et al.  Handbook of automated reasoning , 2001 .

[3]  Luis Fariñas del Cerro,et al.  Sequents for dependence logics , 1991 .

[4]  A. P. Ushenko,et al.  The Logical Syntax of Language. , 1937 .

[5]  R. Carnap Logical Syntax of Language , 1937 .

[6]  Katsumi Inoue Studies on abductive and nonmonotonic reasoning , 1993 .

[7]  Steffen Hölldobler Intellectics and Computational Logic , 2000 .

[8]  Charisma Lee A completeness theorem and a computer program for finding theorems derivable from given axioms , 1967 .

[9]  J. A. Robinson,et al.  A Machine-Oriented Logic Based on the Resolution Principle , 1965, JACM.

[10]  Richard C. T. Lee,et al.  Symbolic logic and mechanical theorem proving , 1973, Computer science classics.

[11]  Katsumi Inoue,et al.  Linear Resolution for Consequence Finding , 1992, Artif. Intell..

[12]  Katsumi Inoue,et al.  Consequence-Finding Based on Ordered Linear Resolution , 1991, IJCAI.

[13]  Robert Demolombe Syntactical characterization of a subset of domain-independent formulas , 1992, JACM.

[14]  R. Kowalski,et al.  Linear Resolution with Selection Function , 1971 .

[15]  Robert Demolombe,et al.  On Sentences of the Kind “Sentence ‘ P ’ is about Topic T ” , 1999 .

[16]  Luis Fariñas del Cerro,et al.  An Inference Rule for Hypothesis Generation , 1991, IJCAI.

[17]  Uwe Reyle,et al.  Logic, Language and Reasoning , 1999 .

[18]  Andrei Voronkov,et al.  Handbook of Automated Reasoning: Volume 1 , 2001 .

[19]  Hilary Putnam,et al.  Formalization of the Concept "About" , 1958, Philosophy of Science.

[20]  Luis Fariñas del Cerro,et al.  Towards a Logical Characterization of Sentences of the Kind "Sentence p is about Object c" , 2000, Intellectics and Computational Logic.