3,858 research outputs found
Reasoning about Independence in Probabilistic Models of Relational Data
We extend the theory of d-separation to cases in which data instances are not
independent and identically distributed. We show that applying the rules of
d-separation directly to the structure of probabilistic models of relational
data inaccurately infers conditional independence. We introduce relational
d-separation, a theory for deriving conditional independence facts from
relational models. We provide a new representation, the abstract ground graph,
that enables a sound, complete, and computationally efficient method for
answering d-separation queries about relational models, and we present
empirical results that demonstrate effectiveness.Comment: 61 pages, substantial revisions to formalisms, theory, and related
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A Reduced Semantics for Deciding Trace Equivalence
Many privacy-type properties of security protocols can be modelled using
trace equivalence properties in suitable process algebras. It has been shown
that such properties can be decided for interesting classes of finite processes
(i.e., without replication) by means of symbolic execution and constraint
solving. However, this does not suffice to obtain practical tools. Current
prototypes suffer from a classical combinatorial explosion problem caused by
the exploration of many interleavings in the behaviour of processes.
M\"odersheim et al. have tackled this problem for reachability properties using
partial order reduction techniques. We revisit their work, generalize it and
adapt it for equivalence checking. We obtain an optimisation in the form of a
reduced symbolic semantics that eliminates redundant interleavings on the fly.
The obtained partial order reduction technique has been integrated in a tool
called APTE. We conducted complete benchmarks showing dramatic improvements.Comment: Accepted for publication in LMC
Independence in CLP Languages
Studying independence of goals has proven very useful in the context of logic programming. In particular, it has provided a formal basis for powerful automatic parallelization tools, since independence ensures that two goals may be evaluated in parallel while preserving correctness and eciency. We extend the concept of independence to constraint logic programs (CLP) and
prove that it also ensures the correctness and eciency of the parallel evaluation of independent goals. Independence for CLP languages is more complex than for logic programming as search space preservation is necessary but no longer sucient for ensuring correctness and eciency. Two
additional issues arise. The rst is that the cost of constraint solving may depend upon the order constraints are encountered. The second is the need to handle dynamic scheduling. We clarify these issues by proposing various types of search independence and constraint solver independence, and show how they can be combined to allow dierent optimizations, from parallelism to intelligent
backtracking. Sucient conditions for independence which can be evaluated \a priori" at run-time are also proposed. Our study also yields new insights into independence in logic programming languages. In particular, we show that search space preservation is not only a sucient but also a necessary condition for ensuring correctness and eciency of parallel execution
Two for the Price of One: Lifting Separation Logic Assertions
Recently, data abstraction has been studied in the context of separation
logic, with noticeable practical successes: the developed logics have enabled
clean proofs of tricky challenging programs, such as subject-observer patterns,
and they have become the basis of efficient verification tools for Java
(jStar), C (VeriFast) and Hoare Type Theory (Ynot). In this paper, we give a
new semantic analysis of such logic-based approaches using Reynolds's
relational parametricity. The core of the analysis is our lifting theorems,
which give a sound and complete condition for when a true implication between
assertions in the standard interpretation entails that the same implication
holds in a relational interpretation. Using these theorems, we provide an
algorithm for identifying abstraction-respecting client-side proofs; the proofs
ensure that clients cannot distinguish two appropriately-related module
implementations
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