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arXiv · 1504.06986

Proof Theory of a Multi-Lane Spatial Logic

Sven Linker·Martin Hilscher
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Abstract

We extend the Multi-lane Spatial Logic MLSL, introduced in previous work for proving the safety (collision freedom) of traffic maneuvers on a multi-lane highway, by length measurement and dynamic modalities. We investigate the proof theory of this extension, called EMLSL. To this end, we prove the undecidability of EMLSL but nevertheless present a sound proof system which allows for reasoning about the safety of traffic situations. We illustrate the latter by giving a formal proof for the reservation lemma we could only prove informally before. Furthermore we prove a basic theorem showing that the length measurement is independent from the number of lanes on the highway.

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Sven Linker, Martin Hilscher. 2015-04-27. Proof Theory of a Multi-Lane Spatial Logic. https://doi.org/10.2168/lmcs-11(3:4)2015

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