Theoretical Aspects of Computing – ICTAC 2015: 12th by Martin Leucker, Camilo Rueda, Frank D. Valencia

By Martin Leucker, Camilo Rueda, Frank D. Valencia

This publication constitutes the refereed court cases of the twelfth foreign Colloquium on Theoretical facets of Computing, ICTAC 2015 held in Cali, Colombia, in October 2015.

The 25 revised complete papers awarded including 7 invited talks, three instrument papers, and s brief papers have been rigorously reviewed and chosen from ninety three submissions. The papers conceal a variety of subject matters reminiscent of algebra and class concept; automata and formal languages; concurrency; constraints, good judgment and semantic; software program structure and component-based layout; and verification.

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For example, once set to have a protection in a radius of 200m, that is sufficient in a dense urban environment, the same protection will be provided when the user moves outside the city, possibly in sparsely populated area. The problem is described in more depth in [12], where we propose an elastic mechanism that adapts the level of noise to the semantic characteristics of each location, such as population and presence of POIs. We perform an extensive evaluation of our technique by building an elastic mechanism for Paris’ wide metropolitan area, using semantic information from the OpenStreetMap database.

It is enough to notice that the level of protection, a public information of the mechanism, depends on the current location of the user, which is sensitive. In order to solve this problem we would need to make itself differentially private. A simple way to do it could be to first sanitize the current location with a fixed privacy level and then feed it to . Post processing a sanitized location does not pose any threat to privacy and would allow the mechanism to reduce sharply the amount of noise added to location in very private area.

Chains e1 and e2 do intersect We suppose now that e1 links a1 to b1 by the exterior of r and likewise e2 links a2 to b2 by the exterior of r. Moreover, if a2 and b2 are situated on the same side (p1 or q1) of the border of r then e1 and e2 do not intersect: Axiom 3 f 1 ⊂ ext(r) f 2 ⊂ ext(r) {a2, b2} ⊂ p1 ∨ {a2, b2} ⊂ q1 ⇒ e1 ∩ e2 = ∅ (33) Figure 13 illustrates this non intersecting case. a1 a2 e1 e2 b1 e2 e1 a1 a2 b1 b2 b2 Fig. 13. Chains e1 and e2 do not intersect We suppose finally that e1 links a1 to b1 by the exterior of r and likewise e2 links a2 to b2 by the exterior of r.

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