The Axiomatization of Propositional Linear Time Temporal Logic
Mariusz Giero
Formalized Mathematics, Tome 19 (2011), p. 113-119 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

The article introduces propositional linear time temporal logic as a formal system. Axioms and rules of derivation are defined. Soundness Theorem and Deduction Theorem are proved [9].

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:266570 
@article{bwmeta1.element.doi-10_2478_v10037-011-0018-1,
     author = {Mariusz Giero},
     title = {The Axiomatization of Propositional Linear Time Temporal Logic},
     journal = {Formalized Mathematics},
     volume = {19},
     year = {2011},
     pages = {113-119},
     zbl = {1276.03018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0018-1}
}

Mariusz Giero. The Axiomatization of Propositional Linear Time Temporal Logic. Formalized Mathematics, Tome 19 (2011) pp. 113-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0018-1/

[1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | Zbl 06213858

[2] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.

[3] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.

[4] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55- 65, 1990.

[5] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.

[6] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.

[7] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.

[8] Adam Grabowski. Hilbert positive propositional calculus. Formalized Mathematics, 8(1):69-72, 1999.

[9] Fred Kröger and Stephan Merz. Temporal Logic and State Systems. Springer-Verlag, 2008. | Zbl 1169.03001

[10] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.

[11] Andrzej Trybulec. Defining by structural induction in the positive propositional language. Formalized Mathematics, 8(1):133-137, 1999.

[12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

[13] Edmund Woronowicz. Many-argument relations. Formalized Mathematics, 1(4):733-737, 1990.