By Erich Grädel,Phokion G. Kolaitis,Leonid Libkin,Maarten Marx,Joel Spencer,Moshe Y. Vardi,Yde Venema,Scott Weinstein

Finite version theory,as understoodhere, is an areaof mathematicallogic that has constructed in shut reference to purposes to desktop technological know-how, particularly the idea of computational complexity and database idea. one of many primary insights of mathematical good judgment is that our realizing of mathematical phenomena is enriched by way of raising the languages we use to explain mathematical constructions to things of particular learn. If arithmetic is the technology of styles, then the media in which we figure styles, in addition to the constructions during which we determine them, command our awareness. It isthis element oflogicwhichis mostprominentin version theory,“thebranchof mathematical good judgment which offers with the relation among a proper language and its interpretations”. No ask yourself, then, that mathematical common sense, and ?nite version thought particularly, may still ?nd manifold purposes in machine technological know-how: from specifying courses to querying databases, desktop technology is rife with phenomena whose knowing calls for shut recognition to the interplay among language and constitution. This quantity offers a broadoverviewof a few significant issues of ?nite version thought: expressive strength, descriptive complexity, and zero–one legislation, including chosen purposes to database conception and arti?cial intelligence, es- cially constraint databases and constraint pride difficulties. The ?nal bankruptcy presents a concise smooth advent to modal logic,which emp- sizes the continuity in spirit and strategy with ?nite version theory.

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Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series) by Erich Grädel,Phokion G. Kolaitis,Leonid Libkin,Maarten Marx,Joel Spencer,Moshe Y. Vardi,Yde Venema,Scott Weinstein


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