The Axiomatization of Propositional Linear Time Temporal Logic

Mariusz Giero

Formalized Mathematics (2011)

  • Volume: 19, Issue: 2, page 113-119
  • ISSN: 1426-2630

Abstract

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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].

How to cite

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Mariusz Giero. "The Axiomatization of Propositional Linear Time Temporal Logic." Formalized Mathematics 19.2 (2011): 113-119. <http://eudml.org/doc/266570>.

@article{MariuszGiero2011,
abstract = {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].},
author = {Mariusz Giero},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {113-119},
title = {The Axiomatization of Propositional Linear Time Temporal Logic},
url = {http://eudml.org/doc/266570},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Mariusz Giero
TI - The Axiomatization of Propositional Linear Time Temporal Logic
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 2
SP - 113
EP - 119
AB - 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].
LA - eng
UR - http://eudml.org/doc/266570
ER -

References

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  4. [4] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55- 65, 1990. 
  5. [5] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. 
  6. [6] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. 
  7. [7] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. 
  8. [8] Adam Grabowski. Hilbert positive propositional calculus. Formalized Mathematics, 8(1):69-72, 1999. 
  9. [9] Fred Kröger and Stephan Merz. Temporal Logic and State Systems. Springer-Verlag, 2008. Zbl1169.03001
  10. [10] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. 
  11. [11] Andrzej Trybulec. Defining by structural induction in the positive propositional language. Formalized Mathematics, 8(1):133-137, 1999. 
  12. [12] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  13. [13] Edmund Woronowicz. Many-argument relations. Formalized Mathematics, 1(4):733-737, 1990. 

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