Abstract
LP can be seen as a logic of knowledge with justifications. Artemov’s Realization Theorem says justifications can be extracted from validities in the Hintikka-style logic of knowledge S4, where they are not explicitly present. We provide tools for reasoning about justifications directly. Among other things, we provide machinery for combining two realizations of the same formula, and for replacing subformulas by equivalent subformulas. The results are algorithmic in nature—semantics for LP plays no role. We apply our results to provide a new algorithmic proof of Artemov’s Realization Theorem itself.
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Fitting, M. (2007). Realizations and LP . In: Artemov, S.N., Nerode, A. (eds) Logical Foundations of Computer Science. LFCS 2007. Lecture Notes in Computer Science, vol 4514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72734-7_15
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DOI: https://doi.org/10.1007/978-3-540-72734-7_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72732-3
Online ISBN: 978-3-540-72734-7
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