By Johan van Benthem
Intensional common sense is the technical research of such "intensional" phenomena in human reasoning as modality, wisdom, or movement of time. those all require a richer semantic photo than average fact values in a single static setting. this sort of photo is equipped by way of so-called "possible worlds semantics," a paradigm that is surveyed during this e-book, either as to its exterior assets of motivation and as to the interior dynamics of the ensuing application. specifically, ^IManual of Intensional Logic^R offers the most important "classical" issues, together with modal common sense, annoying good judgment, and conditional good judgment, all of which illustrate motivations coming from philosophy and linguistics. The ebook additionally discusses contemporary computational purposes in laptop technological know-how and AI. eventually, ^IManual of Intensional Logic^R takes up contemporary advancements within the learn of language and data making themselves felt within the region. The ebook examines the position of partial information--with illustrations drawn from diversified branches of Intensional Logic--and quite a few impacts stemming from present theories of the semantics of usual language, regarding generalized quantifiers and theories of sorts.
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Additional info for A Manual of Intensional Logic
For surveys with a logical slant, see R. Goldblatt, 1982, Axiomatizing the Logic of Computer Programming, Springer, Berlin & New York (Lecture Notes in Computer Science 130), or also R. Goldblatt, 1986, Logics of Time and Computation, CSLI Lecture Notes No. ) Dynamic Logic is a historical successor to earlier forms of operational semantics for programs, where the latter denote sets of admissible transitions between states of a computer. " is the old value oft. In fact, states might be identified with assignments; as happens in the text book D.
This reflects computational practice. ;jr2)! • These are extensional equivalences, in terms of sets of successful transitions. "Intensional" differences in preferred ways of thinking about the execution of the left-hand and right-hand programs may remain. (These are only captured in more sensitive process algebras; cf. J. Bergstra and J. ) Now, the above semantics for the prepositional case generates a basic logic, consisting of 1) basic prepositional and modal principles and 2) decomposition principles for complex programs.
Thus, we have to add a requirement of termination then: (f |= [TT]^ A (ir)i>, or equivalent ly, (p H WV' A (TOT. In the earlier simple case, this question still remains decidable. For the more complex cases, nothing definite seems to be known. Dynamic Logic also has a wider potential, as a general theory of structured actions. -J. Meyer, 1984, Deontic Logic Viewed as a Variant of Dynamic Logic, report 1R-93, Department of Mathematics and Computer Science, Free University, Amsterdam. Then, there are also applications to Varia 53 general dynamic strategies of interpretation for natural language, witness J.