By Franz Baader, Ulrike Sattler (auth.), Roy Dyckhoff (eds.)
This booklet constitutes the refereed court cases of the foreign convention on computerized Reasoning with Analytic Tableaux and comparable equipment, TABLEAUX 2000, held in St Andrews, Scotland, united kingdom, in July 2000.
The 23 revised complete papers and a pair of process descriptions offered have been rigorously reviewed and chosen from forty two submissions. additionally integrated are three invited lectures and six nonclassical method comparisons. All present concerns surrounding the mechanization of reasoning with tableaux and related tools are addressed - starting from theoretical foundations to implementation, platforms improvement, and functions, in addition to masking a vast number of logical calculi.
Read or Download Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX 2000, St Andrews, Scotland, UK, July 3-7, 2000 Proceedings PDF
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Additional info for Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX 2000, St Andrews, Scotland, UK, July 3-7, 2000 Proceedings
D(JOBNUMBER) ∧ D(WHERE) ∧ x =↓WHERE) ⊃ (y =↓JOBNUMBER)] (↓WHERE, ↓JOBNUMBER) 9. ✷[(D(JOBNUMBER) ∧ D(WHERE) ∧ x =↓WHERE) ⊃ (y =↓JOBNUMBER)] (WHERE2 , JOBNUMBER2 ) 10. 2 ✷[(D(JOBNUMBER) ∧ D(WHERE) ∧ WHERE2 =↓WHERE) ⊃ (JOBNUMBER2 =↓JOBNUMBER)] 11. 1 ✸[LOCATION ∧ (↓JOBNUMBER = 2) ∧ (↓WHERE = Away)] 12. 3 [LOCATION ∧ (↓JOBNUMBER = 2) ∧ (↓WHERE = Away)] 13. 3 LOCATION 14. 3 (↓JOBNUMBER = 2) 15. 3 (↓WHERE = Away) 16. 3 [(D(JOBNUMBER) ∧ D(WHERE) ∧ WHERE2 =↓WHERE) ⊃ (JOBNUMBER2 =↓JOBNUMBER)] 17. 3 [(WHERE2 =↓WHERE) ⊃ (JOBNUMBER2 =↓JOBNUMBER)] 18.
By a type I mean a ﬁnite sequence of o’s and c’s, such as c, o, c . Think of an o as marking an object position and a c as marking Modality and Databases 21 a concept position. There are inﬁnitely many relation symbols of each type. In particular there is an equality symbol, =, of type o, o . That is, equality is a relation on individual objects. One could also introduce a notion of equality for individual concepts, but it will not be needed here. I allow the empty sequence as a type. It corresponds to what are sometimes called propositional letters, taking no arguments.
For now, only a single relation will be considered—this will be extended later. Modality and Databases 25 The record is the basic unit of a relational database, yet it is not a ﬁrst-class object in the sense that it is not something we can get as an answer to a query. We could get a record number, perhaps, but not a record. We will take the records of a relational database to be the possible worlds of a Kripke model. In any standard modal language possible worlds, in fact, cannot be directly spoken of.
Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX 2000, St Andrews, Scotland, UK, July 3-7, 2000 Proceedings by Franz Baader, Ulrike Sattler (auth.), Roy Dyckhoff (eds.)