具有慢于光速可达性的二维Minkowski时空的时态逻辑是可判定的
The temporal logic of two-dimensional Minkowski spacetime with slower-than-light accessibility is decidable
摘要：
我们的工作主要与克里普克框架组成的二维闵可夫斯基时空与非自反可达性关系“可以达到一个慢于光的信号”。我们表明，在基本的时态语言，在这个框架的有效性集是可判定的。然后，我们将其细化为PSPACE完成。在这两种情况下，对应的自反框架的相同结果立即跟随。随着更多的工作，我们获得PSPACE-完整性的有效性的Halpern-Shoham逻辑的时间间隔的两种不同的组合方式在真正的线。
英文摘要：
We work primarily with the Kripke frame consisting of two-dimensional Minkowski spacetime with the irreflexive accessibility relation 'can reach with a slower-than-light signal'. We show that in the basic temporal language, the set of validities over this frame is decidable. We then refine this to PSPACE-complete. In both cases the same result for the corresponding reflexive frame follows immediately. With a little more work we obtain PSPACE-completeness for the validities of the Halpern-Shoham logic of intervals on the real line with two different combinations of modalities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
