By Deborah J. Bennett

"Professor Bennett entertains as she instructs," writes Publishers Weekly concerning the penetrating but useful Logic Made Easy. This brilliantly transparent and gratifyingly concise therapy of the traditional Greek self-discipline identifies the illogical in every thing from highway symptoms to tax varieties. entire with puzzles you could try out your self, Logic Made Easy invitations readers to spot and eventually treatment logical slips in lifestyle. Designed with dozens of visible examples, the ebook courses you thru these hair-raising occasions whilst common sense is at odds with our language and customary feel. Logic Made Easy is certainly a type of infrequent books that may truly make you a extra logical person.

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Extra resources for Logic Made Easy: How to Know When Language Deceives You

Sample text

The description of PCC so far has been in abstract terms without referring to a particular form of safety explanations. There are a number of possible forms of explanations each with its own advantages and disadvantages. In any implementation the safety explanations must be precise and comprehensive, just like formal proofs. In fact, in the first realization of a PCC architecture [Nec98] the explanations were precisely formal proofs represented as terms in a variant of the dependently-typed λ-calculus called the Edinburgh Logical Framework (LF) [HHP93].

It is obvious that this safety policy is tailored to our example and thus is not very general. To alleviate this problem we allow the host to define a language of types along with their meaning and the agent to customize the safety policy by declaring the type of the arguments that it expects and the type of the return value. This constitutes the interface of the agent and in our system is expressed as a pair of a function precondition and postcondition formulas constructed by the code producer using a number of type constructors defined by the host’s safety policy.

One interesting observation is that while LFi checking is faster than oracle checking, it also uses a lot more memory. While oracles can be consumed a few bits at a time, the LFi syntactic representation of a proof must be entirely brought in memory for checking. While we have not measured precisely the memory usage we encountered examples whose oracles can be checked using less than 1Mbyte of memory while the checking of the corresponding LFi terms could not be performed even with 1Gbyte of virtual memory.

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