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On Axiomatizations for Propositional Logics of Programs (1988)  (Make Corrections)  (2 citations)
P.M.W. Knijnenburg



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Abstract: this paper, we focus attention on a propositional program logic, namely Propositional Dynamic Logic or PDL in short. (Update)

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.... derivability of formulae of the form [ff ]OE is closely related, as the following theorem shows; a proof of the theorem can be found in [7]. 20 Theorem 5.3 1. In the infinitary system AX1 , the induction axiom is derivable. 2. In the Segerberg system AX, ff ] OE [ff]OE)...

.... Dynamic Logic [Apt and Olderog, 1991; Backhouse, 1986; Harel, 1979; Harel, 1984; Parikh, 1981; Goldblatt, 1982; Goldblatt, 1987; Knijnenburg, 1988; Cousot, 1990; Emerson, 1990; Kozen and Tiuryn, 1990] In particular, much of this chapter is an abbreviated summary of material...

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Dynamic Logic - Harel, Kozen, Tiuryn (1984)   (Correct)
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BibTeX entry:   (Update)

Knijnenburg, P.M.W., "On Axiomatizations for Propositional Logics of Programs", Tech. Rep. RUU-CS-88-34, Univ. of Utrecht. http://citeseer.ist.psu.edu/article/knijnenburg88axiomatizations.html   More

@techreport{ knijnenburg88axiomatizations,
    author = "P. M. W. Knijnenburg",
    title = "On Axiomatizations for Propositional Logics of Programs",
    address = "Utrecht",
    year = "1988",
    url = "citeseer.ist.psu.edu/article/knijnenburg88axiomatizations.html" }
Citations (may not include all citations):
539   The Temporal Logic of Programs (context) - Pnueli - 1976  ACM   DBLP
362   Dynamic Logic - Harel - 1984  ACM
223   Assigning Meanings to Programs (context) - Floyd - 1967
195   Propositional Dynamic Logic of Regular Programs (context) - Fischer, Ladner - 1979  DBLP
143   Logics of Programs (context) - Kozen, Tiuryn
126   Semantical Considerations on Floyd-Hoare Logic - Pratt - 1976  ACM   DBLP
122   Applications of Temporal Logic to the Specification and Veri.. (context) - Pnueli - 1985  ACM   DBLP
114   Logics of Time and Computation (context) - Goldblatt - 1987  ACM
85   First Order Dynamic Logic (context) - Harel - 1979
63   The Temporal Logic of Branching Time (context) - Ben-Ari, Pnueli et al. - 1983  ACM   DBLP
59   Models of Program Logics (context) - Pratt - 1979  DBLP
53   Sometime' and `Not Never' Revisited: On Branching versus Lin.. (context) - Emerson, Halpern - 1986
34   Concurrent Dynamic Logic (context) - Peleg - 1987  ACM   DBLP
31   An Elementary Proof of the Completeness of PDL (context) - Kozen, Parikh - 1981
29   The Mathematics of Metamathematics (context) - Rasiowa, Sirkorski - 1963
22   Model Theory for Infinitary Logic (context) - Keisler - 1971
22   Process Logic (context) - Pratt - 1979  ACM   DBLP
18   Models and Ultraproducts (context) - Bell, Slomson - 1979
15   Propositional Dynamic Logic of Programs: A Survey (context) - Parikh - 1981
14   Sometime' is Sometimes `Not Never (context) - Lamport - 1980
11   Dynamic Algebras and the Nature of Induction (context) - Pratt - 1980  ACM   DBLP
9   Descriptively Complete Process Logic (context) - Nishimura - 1980  DBLP
5   PAL --- Propositional Algorithmic Logic (context) - Mirkowska - 1981
5   Formalized Algorithmic Languages (context) - Salwicki - 1970
4   A Completeness Technique for D-Axiomatizable Semantics (context) - Berman - 1979  ACM   DBLP
4   Propositional Dynamic Logic of Context--Free Programs (context) - Harel, Pnueli et al. - 1981
4   Propositional Dynamic Logic of Looping and Converse Is Eleme.. (context) - Street - 1982
4   Algorithmic Properties of Structures (context) - Engeler - 1967
3   Further Results on Propositional Dynamic Logic of Non--regul.. (context) - Harel, Pnueli et al. - 1981
2   On Induction vs. ?--Continuity (context) - Kozen - 1981
2   A Completeness Theorem in the Modal Logic of Programs (Preli.. (context) - Segerberg - 1979
2   Dynamic Logic (context) - Pratt - 1982  ACM
2   A Combined Proof of one-exponentional Decidability and Compl.. (context) - Sherman, Harel - 1982
2   A Representation Theorem for Models of ?--Free PDL (context) - Kozen - 1982

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On Reducing Overhead in Loops - Knijnenburg, Bik (1996)   (Correct)
Flattening VLIW code generation for imperfectly nested loops - Knijnenburg (1998)   (Correct)
The Automatic Generation of Sparse Primitives - Bik, Brinkhaus, Knijnenburg.. (1996)   (Correct)

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