An extension of
propositional calculus with operators that express v
arious "modes" of truth. Examples of modes
are: necess
arily A, possibly A, probably A, it has always been true that A, it is permissible that A, it is believed that A. "It is necess
arily true that A" means that things being as they
are, A must be true, e.g. "It is necess
arily true that x=x" is TRUE while "It is necess
arily true that x=y" is FALSE even though "x=y" might be TRUE. Adding modal operators [F] and [P], meaning, respectively, henceforth and hitherto leads to a "
temporal logic". Flavours of modal logics include: {Propositional Dynamic Logic} (PDL), {Propositional Line
ar Temporal Logic} (PLTL),
Linear Temporal Logic (LTL),
Computational Tree Logic (CTL),
Hennessy-Milner Logic, S1-S5, T. C.I. Lewis, "A Survey of Symbolic Logic", 1918, initiated the modern analysis of modality. He developed the logical systems S1-S5. JCC McKinsey used algebraic methods ({Boolean algebra}s with operators) to prove the decidability of Lewis' S2 and S4 in 1941. Saul Kripke developed the {relational semantics} for modal logics (1959, 1963). Vaughan Pratt introduced
dynamic logic in 1976. Amir Pnuelli proposed the use of temporal logic to formalise the behaviour of continually operating
concurrent programs in 1977. [Robert Goldblatt, "Logics of Time and Computation", CSLI Lecture Notes No. 7, Centre for the Study of Language and Information, Stanford University, Second Edition, 1992, (distributed by University of Chicago Press)]. [Robert Goldblatt, "Mathematics of Modality", CSLI Lecture Notes No. 43, Centre for the Study of Language and Information, Stanford University, 1993, (distributed by University of Chicago Press)]. [G.E. Hughes and M.J. Cresswell, "An Introduction to Modal Logic", Methuen, 1968]. [E.J. Lemmon (with Dana Scott), "An Introduction to Modal Logic", American Philosophical Qu
arterly Monograpph Series, no. 11 (ed. by Krister Segerberg), Basil Blackwell, Oxford, 1977]. (1995-02-15)
In addition suitable contents:
[ 2 ] [ = ] [ ad ] [ ag ] [ ai ] [ AL ] [ al ] [ algebra ] [ algebraic ] [ am ] [ an ] [ app ] [ ar ] [ arc ] [ as ] [ at ] [ au ] [ av ] [ B ] [ b ] [ ba ] [ be ] [ bi ] [ blat ] [ bo ] [ Boolean ] [ Boolean algebra ] [ br ] [ by ] [ C ] [ ca ] [ Ch ] [ ch ] [ Chicago ] [ ci ] [ ck ] [ cl ] [ co ] [ con ] [ CSL ] [ CT ] [ CTL ] [ cu ] [ current ] [ D ] [ dd ] [ de ] [ dec ] [ decidability ] [ ding ] [ du ] [ E ] [ ec ] [ ed ] [ ee ] [ eg ] [ eh ] [ er ] [ era ] [ es ] [ et ] [ extension ] [ FALSE ] [ fi ] [ file ] [ fo ] [ for ] [ G ] [ ge ] [ gh ] [ gi ] [ Go ] [ gr ] [ gs ] [ gu ] [ h ] [ hat ] [ hing ] [ hit ] [ hr ] [ ht ] [ hu ] [ hue ] [ id ] [ ie ] [ il ] [ in ] [ inc ] [ include ] [ int ] [ io ] [ ir ] [ is ] [ it ] [ J ] [ K ] [ ke ] [ kw ] [ la ] [ lc ] [ ld ] [ Lex ] [ li ] [ logical ] [ LSE ] [ LTL ] [ lu ] [ ly ] [ M ] [ ma ] [ man ] [ method ] [ mm ] [ mo ] [ mod ] [ modal ] [ mode ] [ module ] [ Mono ] [ mp ] [ ms ] [ mu ] [ N ] [ na ] [ nc ] [ ne ] [ nf ] [ ng ] [ ni ] [ nn ] [ no ] [ Notes ] [ ns ] [ nu ] [ O ] [ om ] [ op ] [ operator ] [ Ox ] [ PD ] [ PDL ] [ pe ] [ ph ] [ pk ] [ pl ] [ PLTL ] [ pr ] [ program ] [ propositional calculus ] [ Q ] [ query ] [ rc ] [ re ] [ relation ] [ rl ] [ ro ] [ ru ] [ S ] [ sa ] [ SE ] [ se ] [ semantics ] [ si ] [ sit ] [ SL ] [ so ] [ spec ] [ st ] [ Stanford University ] [ sy ] [ system ] [ T ] [ Tempo ] [ temporal logic ] [ th ] [ to ] [ tr ] [ tt ] [ ua ] [ ug ] [ us ] [ V ] [ va ] [ var ] [ ve ] [ vi ] [ while ]