Report
Axiomatic systems and topological semantics for intuitionistic temporal logic
| العنوان: | Axiomatic systems and topological semantics for intuitionistic temporal logic |
|---|---|
| المؤلفون: | Boudou, Joseph, Diéguez, Martín, Fernández-Duque, David, Romero, Fabián |
| سنة النشر: | 2018 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Logic, Computer Science - Logic in Computer Science |
| الوصف: | We propose four axiomatic systems for intuitionistic linear temporal logic and show that each of these systems is sound for a class of structures based either on Kripke frames or on dynamic topological systems. Our topological semantics features a new interpretation for the `henceforth' modality that is a natural intuitionistic variant of the classical one. Using the soundness results, we show that the four logics obtained from the axiomatic systems are distinct. Finally, we show that when the language is restricted to the `henceforth'-free fragment, the set of valid formulas for the relational and topological semantics coincide. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1803.05077 |
| رقم الانضمام: | edsarx.1803.05077 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |