Logic, Language, Information, and Computation: 21st by Ulrich Kohlenbach, Pablo Barceló, Ruy J G B de Queiroz

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By Ulrich Kohlenbach, Pablo Barceló, Ruy J G B de Queiroz

Edited in collaboration with FoLLI, the organization of good judgment, Language and data this e-book constitutes the refereed lawsuits of the twenty first Workshop on common sense, Language, details and communique, WoLLIC 2014, held in Valparaiso, Chile, in September 2014. The 15 contributed papers provided including 6 invited lectures have been conscientiously reviewed and chosen from 29 submissions. the focal point of the workshop used to be at the following matters Inter-Disciplinary study concerning Formal common sense, Computing and Programming thought, and average Language and Reasoning.

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Extra info for Logic, Language, Information, and Computation: 21st International Workshop, WoLLIC 2014, Valparaíso, Chile, September 1-4, 2014. Proceedings

Example text

E T , wj ≡↓ T , wj . By the definition of Z, conditions i, ii and iii above imply items 1, 2 and 3 of the Zig clause for ↓-bisimulation. Saturation for the vertical fragment. Given a data tree T and u ∈ T , we say that the set of XPath= -formulas Γ is =n,m -satisfiable [resp. =n,m -satisfiable ] at n m T , u if there exist v, w ∈ T such that v →u, v →w, w |= Γ and data(u) = data(w) [resp. data(u) = data(w)]. We say that Γ is =n,m -finitely satisfiable [resp. =n,m -finitely satisfiable ] at T , u if for every finite Γ ⊆ Γ , we have that Γ is =n,m -satisfiable [resp.

XPath↓= -formulas] true at T , u. 2]). We will henceforth assume that formulas do not contain union of path expressions. Let T and T be data trees, and let u ∈ T , u ∈ T . We say that T , u and T , u are equivalent for XPath= [resp. equivalent for XPath↓= ] (notation: T , u ≡ T , u [resp. T , u ≡↓ T , u ]) iff for all formulas ϕ ∈ XPath= [resp. ϕ ∈ XPath↓= ], we have T , u |= ϕ iff T , u |= ϕ. Bisimulations. In [8] the notions of downward and vertical bisimulations are introduced. We reproduce them here, as they are key concepts for our results.

Cambridge Tracts in Theoretical Computer Science, vol. 53. Cambridge University Press (2001) 3. : Two-variable logic on data trees and XML reasoning. Journal of the ACM 56(3), 1–48 (2009) 4. : Model theory. Studies in logic and the foundations of mathematics. North-Holland (1990) 5. : XML path language (XPath). org/TR/xpath 6. : Modal model theory. Annals of Pure and Applied Logic (1995) 7. : Global definability in basic modal logic. Essays on NonClassical Logic 1, 111 (2001) 8. : Basic model theory of XPath on data trees.

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