2006 | OriginalPaper | Buchkapitel
Completeness of Global Evaluation Logic
verfasst von : Sergey Goncharov, Lutz Schröder, Till Mossakowski
Erschienen in: Mathematical Foundations of Computer Science 2006
Verlag: Springer Berlin Heidelberg
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Monads serve the abstract encapsulation of side effects in semantics and functional programming. Various monad-based specification languages have been introduced in order to express requirements on generic side-effecting programs. A basic role is played here by global evaluation logic, concerned with formulae which may be thought of as being universally quantified over the state space; this formalism is the fundament of more advanced logics such as monad-based Hoare logic or dynamic logic. We prove completeness of global evaluation logic for models in cartesian categories with a distinguished Heyting algebra object.