logical systemal system in ready reckoner recognition Thierry Coquand Nov. 9, 2007 logic in estimator Science Mathematical system of logic Traditionally numeric logic was developped by philosophers and mathematicians elicit in foundations logic plays a special role in information processing system recognition: it has been called the calculus of computer science logic plays a similar role in computer science to that play by calculus in the physical sciences and traditionalistic applied science disciplines. (M. Vardi, 2007) 1 system of logic in Computer Science Logic and Computer Science It is reasonable to hope that the relationship amid computation and mathematical logic will be as fruitful in the next century as that surrounded by analysis and natural philosophy in the last. (J. MacCarthy, 1961) Three systems propositional logic temporal logic proclaim logic 2 Logic in Computer Science muniment The greeks (Aristotle) discovered the prescribed temper of logical reason outs both men ar deadly whole greeks be men. Hence all greeks are person We assumet need to understand what are men, mortal, greeks to recognise the validity of this inference 3 Logic in Computer Science History We dope engage symbols All A are B All B are C.
Hence all A are C 4 Logic in Computer Science History This is like in algebra (symbols were introduced oftentimes later there) We squirt do the reasoning mechanically, without understanding the essence of the symbols Leibniz had the idea of reducing reasoning (in various domains, for instance laws) to computation: The only way to revive our reasonings i s to make them as manifest as those of the ! Mathematicians, so that we can ?nd our error at a glance, and when there are disputes among persons we can simply declare: let us calculate. 5 Logic in Computer Science Propositional Logic Propositional logic (Boole) provides precisely such a symbolic notation A ? B, A ? B, A ? B, ¬A, A ? B Used extensively to automate reasoning in arti?cal intelligence 6 Logic in Computer...If you lack to get a full essay, array it on our website: OrderEssay.net
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