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Download e-book for kindle: Automated Reasoning: 6th International Joint Conference, by Nikolaj Bjørner (auth.), Bernhard Gramlich, Dale Miller, Uli

By Nikolaj Bjørner (auth.), Bernhard Gramlich, Dale Miller, Uli Sattler (eds.)

ISBN-10: 3642313647

ISBN-13: 9783642313646

ISBN-10: 3642313655

ISBN-13: 9783642313653

This ebook constitutes the refereed lawsuits of the sixth foreign Joint convention on automatic Reasoning, IJCAR 2012, held in Manchester, united kingdom, in June 2012. IJCAR 2012 is a merger of major occasions in automatic reasoning, particularly CADE (International convention on computerized Deduction), FroCoS (International Symposium on Frontiers of mixing Systems), FTP (International Workshop on First-Order Theorem Proving), and TABLEAUX (International convention on automatic Reasoning with Analytic Tableaux and similar Methods). The 32 revised complete study papers and nine process descriptions awarded including three invited talks have been conscientiously reviewed and chosen from 116 submissions. The papers tackle all elements of computerized reasoning, together with foundations, implementations, and applications.

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Additional info for Automated Reasoning: 6th International Joint Conference, IJCAR 2012, Manchester, UK, June 26-29, 2012. Proceedings

Example text

Equations in SM can be oriented with the help of a length+lexicographical ordering on strings in ∗ Σ induced by a total ordering on Σ . One such ordering can be defined as x > y if and only if: (1) Either |x| > |y|; (2) Or |x| = |y|, x = ax , y = by where a, b ∈ Σ ; and, either a b or (a = b and x > y ). with the following assumptions on the symbol ordering : Symbols in Σ are ordered as L R 0 1 Symbols in Q are ordered as q1 q2 . . For any X ∈ Σ and Y ∈ Q, we assume X Y . ∗ be the resulting confluent system.

In Section 3 we define unification for these DLs and recall some of the existing results for unification in EL. t. GCIs to hold. In Section 4 we then derive rewriting-based characterizations of subsumption. t. cycle-restricted ontologies to propositional satisfiability. The proof of correctness of this reduction strongly depends on the characterization of subsumption shown in the previous section. 2 The Description Logics EL, EL+ , and ELHR+ The expressiveness of a DL is determined both by the formalism for describing concepts (the concept description language) and the terminological formalism, which can be used to state additional constraints on the interpretation of concepts and roles in a so-called ontology.

A General Theory of Semi-Unification. Technical Report 1993-018, Dept. of Computer Science, Boston University (December 1993) 8. : Solving equations in abstract algebras: a rule-based survey of unification. In: Computational Logic: Essays in Honor of Alan Robinson, pp. 360–394. MIT Press, Boston (1991) 9. : The Knuth-Bendix Completion Procedure and Thue Systems. SIAM Journal on Computing 14(4), 1052–1072 (1985) 10. : The Undecidability of the Semi-Unification Problem. Information and Computation 102(1), 83–101 (1993) Unification Modulo Synchronous Distributivity 29 11.

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Automated Reasoning: 6th International Joint Conference, IJCAR 2012, Manchester, UK, June 26-29, 2012. Proceedings by Nikolaj Bjørner (auth.), Bernhard Gramlich, Dale Miller, Uli Sattler (eds.)


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