TY - JOUR

T1 - Proof Theory of a Multi-Lane Spatial Logic

AU - Linker, Sven

AU - Hilscher, Martin

PY - 2015/8/18

Y1 - 2015/8/18

N2 - 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.

AB - 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.

U2 - 10.2168/LMCS-11(3:4)2015

DO - 10.2168/LMCS-11(3:4)2015

M3 - Journal article

VL - 11

JO - Logical Methods in Computer Science

JF - Logical Methods in Computer Science

IS - 3

M1 - 4

ER -