5,429 research outputs found
Collection analysis for Horn clause programs
We consider approximating data structures with collections of the items that
they contain. For examples, lists, binary trees, tuples, etc, can be
approximated by sets or multisets of the items within them. Such approximations
can be used to provide partial correctness properties of logic programs. For
example, one might wish to specify than whenever the atom is proved
then the two lists and contain the same multiset of items (that is,
is a permutation of ). If sorting removes duplicates, then one would like to
infer that the sets of items underlying and are the same. Such results
could be useful to have if they can be determined statically and automatically.
We present a scheme by which such collection analysis can be structured and
automated. Central to this scheme is the use of linear logic as a omputational
logic underlying the logic of Horn clauses
Model Checking Linear Logic Specifications
The overall goal of this paper is to investigate the theoretical foundations
of algorithmic verification techniques for first order linear logic
specifications. The fragment of linear logic we consider in this paper is based
on the linear logic programming language called LO enriched with universally
quantified goal formulas. Although LO was originally introduced as a
theoretical foundation for extensions of logic programming languages, it can
also be viewed as a very general language to specify a wide range of
infinite-state concurrent systems.
Our approach is based on the relation between backward reachability and
provability highlighted in our previous work on propositional LO programs.
Following this line of research, we define here a general framework for the
bottom-up evaluation of first order linear logic specifications. The evaluation
procedure is based on an effective fixpoint operator working on a symbolic
representation of infinite collections of first order linear logic formulas.
The theory of well quasi-orderings can be used to provide sufficient conditions
for the termination of the evaluation of non trivial fragments of first order
linear logic.Comment: 53 pages, 12 figures "Under consideration for publication in Theory
and Practice of Logic Programming
A Protocol for the Atomic Capture of Multiple Molecules at Large Scale
With the rise of service-oriented computing, applications are more and more
based on coordination of autonomous services. Envisioned over largely
distributed and highly dynamic platforms, expressing this coordination calls
for alternative programming models. The chemical programming paradigm, which
models applications as chemical solutions where molecules representing digital
entities involved in the computation, react together to produce a result, has
been recently shown to provide the needed abstractions for autonomic
coordination of services. However, the execution of such programs over large
scale platforms raises several problems hindering this paradigm to be actually
leveraged. Among them, the atomic capture of molecules participating in concur-
rent reactions is one of the most significant. In this paper, we propose a
protocol for the atomic capture of these molecules distributed and evolving
over a large scale platform. As the density of possible reactions is crucial
for the liveness and efficiency of such a capture, the protocol proposed is
made up of two sub-protocols, each of them aimed at addressing different levels
of densities of potential reactions in the solution. While the decision to
choose one or the other is local to each node participating in a program's
execution, a global coherent behaviour is obtained. Proof of liveness, as well
as intensive simulation results showing the efficiency and limited overhead of
the protocol are given.Comment: 13th International Conference on Distributed Computing and Networking
(2012
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