Dual Choice and Iteration in an Abstract Algebra of Action

Studia Logica 100 (3):607-630 (2012)
This paper presents an abstract-algebraic formulation of action facilitating reasoning about two opposing agents. Two dual nondeterministic choice operators are formulated abstract-algebraically: angelic (or user) choice and demonic (or system) choice. Iteration operators are also defined. As an application, Hoare-style correctness rules are established by means of the algebra. A negation operator is also discussed
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DOI 10.1007/s11225-012-9416-9
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Krister Segerberg (1980). Applying Modal Logic. Studia Logica 39 (2-3):275 - 295.

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