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Artículo
A geometric protocol for cryptography with cards
(Springer, 2015)
In the generalized Russian cards problem, the three players Alice, Bob and Cath draw a, b and c cards, respectively, from a deck of a + b + c cards. Players only know their own cards and what the deck of cards is. Alice ...
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Dynamic consequence and public announcement
(Cambridge University Press, 2013)
Artículo
Fragments of Arithmetic and true sentences
(Wiley, 2005)
By a theorem of R. Kaye, J. Paris and C. Dimitracopoulos, the class of the ¦n+1–sentences true in the standard model is the only (up to deductive equivalence) consistent ¦n+1–theory which extends the scheme of induction ...
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Existentially Closed Models and Conservation Results in Bounded Arithmetic
(Oxford Academic, 2009)
We develop model-theoretic techniques to obtain conservation results for first order Bounded Arithmetic theories, based on a hierarchical version of the well-known notion of an existentially closed model. We focus on the ...
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A secure additive protocol for card players
(University of Queensland, 2012)
Consider three players Alice, Bob and Cath who hold a, b and c cards, respectively, from a deck of d=a+b+c cards. The cards are all different and players only know their own cards. Suppose Alice and Bob wish to communicate ...
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On the Optimality of Conservation Results for Local Reflection in Arithmetic
(Association for Symbolic Logic, 2013)
Let T be a recursively enumerable theory extending Elementary Arithmetic EA. L. D. Beklemishev proved that the Σ2 local reflection principle for T, (T), is conservative over the Σ1 local reflection principle, (T), with ...
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On axiom schemes for T-provably Δ1 formulas
(Springer, 2014)
This paper investigates the status of the fragments of Peano Arithmetic obtained by restricting induction, collection and least number axiom schemes to formulas which are Δ1 provably in an arithmetic theory T. In ...
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Local induction and provably total computable functions
(Elsevier, 2014)
Let I¦− 2 denote the fragment of Peano Arithmetic obtained by restricting the induction scheme to parameter free ¦2 formulas. Answering a question of R. Kaye, L. Beklemishev showed that the provably total computable ...
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On the quantifier complexity of Δ n+1 (T)– induction
(Springer, 2004)
In this paper we continue the study of the theories IΔ n+1 (T), initiated in [7]. We focus on the quantifier complexity of these fragments and theirs (non)finite axiomatization. A characterization is obtained for the class ...
Artículo
A Prolog Simulator for Deterministic P Systems with Active Membranes
(Springer, 2004)
In this paper we propose a new way to represent P systems with active membranes based on Logic Programming techniques. This representation allows us to express the set of rules and the configuration of the P system in ...