## Handbook of Philosophical LogicDov M. Gabbay, Franz Guenthner such questions for centuries (unrestricted by the capabilities of any ha- ware). Theprinciplesgoverningtheinteractionofseveralprocesses, forexample, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based e?ective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. Ibelievethedayisnotfarawayinthefuturewhenthecomputerscientist will wake up one morning with the realisation that he is actually a kind of formal philosopher The projected number of volumes for this Handbook is about 18. The subjecthasevolvedanditsareashavebecomeinterrelatedtosuchanextent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupingsof chapters. Iwould liketothank our authorsand readersfor their contributionsand their commitment in making this Handbook a success. Thanksalso to our publication administrator Mrs J.Spurr for her usual dedication and excellence and to Kluwer Academic Publishers (now Springer) for their continuing support for the Handbook. Dov Gabbay King's College London 10 Logic IT Natural Program Arti?cial in- Logicp- language control spec- telligence gramming processing i?cation, veri?cation, concurrency Temporal Expressive Expressive Planning. Extension of logic power of tense power for re- Time depen- Horn clause operators. current events. dent data. with time Temporal Speci?cation Eventcalculus. capability. indices. Sepa- of tempo- Persistence Event calculus. ration of past ral control. through time- Temporal logic from future Decision prob- theFrame programming. lems. Model Problem. T- checking. poral query language. temporal transactions. |

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abduction abductive reasoning admissible rules Artemov axiom axiom schema axiomatized Beklemishev bimodal provability logics boolean Boolos Caleiro Carnielli characteristic cognitive combinatory logic computational concepts consequence constant specification construction COROLLARY deductive system defined DEFINITION denote derivable elementary presented epistemic equivalent example finite first-order based function Gabbay given Godel number Heyting algebra implies induction inference rule interpretation structures intuitionistic logic K-interpretation Kripke frame Kripke model language Lemma letterless logic of proofs logic system logician LPGL LPS4 Magari algebras mathematical modal formulas modal logic modulated fibring modus ponens morphism node notion obtained operations Peano arithmetic plausibility practical agent practical logic practical reasoning preservation presumption principle problem proof polynomial proof theory propositional logic provability algebras provability logic provability predicate proved quantifiers realization Rescher Sarah schema sentences sequent Sernadas Shavrukov Smoryriski Solovay standard subalgebras subset system morphism theorem tion true truth valid variables Visser