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Guarded fixed-point logic μGF extends the guarded fragment by means of least and greatest fixed points, and thus plays the same role within the domain of guarded logics as the modal μ-calculus plays within the modal domain. We provide a semantic characterization of μGF within an appropriate...
A category of HO/N-style games and probabilistic strategies is developed where the possible choices of a strategy are quantified so as to give a measure of the likelihood of seeing a given play. A two-sided die is shown to be universal in this category, in the sense that any strategy breaks down...
We define notions of resource-bounded continuity and sequentiality for type-two functionals with total inputs, and prove that in the resource-bounded model there are continuous functionals which cannot be efficiently simulated by sequential functionals. We also show that for some naturally...
This special issue of ACM Transactions on Computational Logic is devoted to papers first presented at LICS 2000, the 15th Annual IEEE Symposium on Logic in Computer Science, held June 26--29, 2000, in Santa Barbara, California.In consultation with the LICS 2000 program committee, the guest...
A syntactical proof is given that all functions definable in a certain affine linear typed λ-calculus with iteration in all types are polynomial time computable. The proof provides explicit polynomial bounds that can easily be calculated.
One important class of spatial database queries is the class of topological queries , that is, queries invariant under homeomorphisms. We study topological queries expressible in the standard query language on spatial databases, first-order logic with various amounts of arithmetic. Our main...
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