Logic, Language, Information, and Computation: 23rd by Jouko Väänänen, Åsa Hirvonen, Ruy de Queiroz

By Jouko Väänänen, Åsa Hirvonen, Ruy de Queiroz

Edited in collaboration with FoLLI, the organization of good judgment, Language and data this booklet constitutes the refereed lawsuits of the twenty third Workshop on common sense, Language, details and conversation, WoLLIC 2016, held in Puebla, Mexico, in August 2016.The 23 contributed papers, awarded including nine invited lectures and tutorials, have been rigorously reviewed and chosen from 33 submissions. the focal point of the workshop is to supply a discussion board on inter-disciplinary learn related to formal good judgment, computing and programming idea, and average language and reasoning.

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Extra info for Logic, Language, Information, and Computation: 23rd International Workshop, WoLLIC 2016, Puebla, Mexico, August 16-19th, 2016. Proceedings

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A cardinal κ is strongly compact if any κ-complete filter on any set can be extended to a κ-complete ultrafilter. If U is an ultrafilter and X ∈ U , we say X has measure one with respect to U (and X has measure zero if X ∈ U ). Let Pκ A = {S ⊂ A : |S| < κ}. We say an ultrafilter on Pκ A is a fine measure if it contains all sets of the form A ↑ := {S ∈ Pκ A : A ⊂ S}. It is well known (see, for example, [4,5]) that a cardinal κ is strongly compact if, and only if, for every cardinal λ, there exists a fine measure on Pκ λ.

The proof of the polynomial bound of the overhead is in three steps. First, we bound the number |ρ|e of exponential transitions of an execution ρ using the number |ρ|m of multiplicative transitions of ρ, that by Theorem 2 corresponds to the number of LO β-steps on the λ-calculus. Second, we bound the number |ρ|c of commutative transitions of ρ by using the number of exponential transitions and the size of the initial term. Third, we put everything together. Multiplicative vs Exponential Analysis.

Note that the Checking AM never modifies the environment, it only looks it up. Let us explain the transitions. First the commutative ones: c1 : the code is an application tu and the machine starts exploring the left subterm t, storing u on top of the stack π. t and the machine goes under the abstraction, storing x on top of the frame F . – c3 : the machine finds a variable x that either has no associated entry in the environment (if E(x) = ⊥) or its associated entry [x t]l in the environment is useless.

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