Abstract
The aim of propositional algorithmic logic PAL is to investigate properties of program connectives and to develop tools useful in the practice of proving properties of program schemes. The tautologies of PAL become tautologies of algorithmic logic after replacing program variables by programs and propositional variables by formulas.
Preview
Unable to display preview. Download preview PDF.
References
Fisher, M., Ladner, R., Propositional dynamic logic of regular programs. Proc. 9th Ann. ACM Symp., Boulder, Colorado, 1977.
Grabowski, M., The set of tautologies of zero-order algorithmic logic is decidable, Bull.Acad.Pol.Sci. Ser.Math. 20 (1972), 575–582.
Mirkowska, G., On formalized systems of algorithmic logic, ibid. 19, (1971), 421–428.
Mirkowska, G., Algorithmic logic with nondeterministic programs, to appear in Fundamenta Informaticae.
Parikh, R., A completeness result for PDL, MFCS, september 1978.
Pratt, V.R., A practical decision method for propositional dynamic logic, Tenth ACM symposium on Theory of Computing, 1978.
Rasiowa, H., Sikorski, R., The mathematics of metamathematics, PWN, Warsaw 1963.
Segerberg, K., A completeness theorem in the modal logic of programs, Notices of the ACM, 24,6. A-552, 1977.
Yanov, J., On equivalence of operator schemes, Problems of Cybernetics 1, 1–100, 1959.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mirkowska, G. (1979). On the propositional algorithmic logic. In: Bečvář, J. (eds) Mathematical Foundations of Computer Science 1979. MFCS 1979. Lecture Notes in Computer Science, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09526-8_37
Download citation
DOI: https://doi.org/10.1007/3-540-09526-8_37
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09526-2
Online ISBN: 978-3-540-35088-0
eBook Packages: Springer Book Archive