831 research outputs found
On the Expressiveness of Intensional Communication
The expressiveness of communication primitives has been explored in a common
framework based on the pi-calculus by considering four features: synchronism
(asynchronous vs synchronous), arity (monadic vs polyadic data), communication
medium (shared dataspaces vs channel-based), and pattern-matching (binding to a
name vs testing name equality). Here pattern-matching is generalised to account
for terms with internal structure such as in recent calculi like Spi calculi,
Concurrent Pattern Calculus and Psi calculi. This paper explores intensionality
upon terms, in particular communication primitives that can match upon both
names and structures. By means of possibility/impossibility of encodings, this
paper shows that intensionality alone can encode synchronism, arity,
communication-medium, and pattern-matching, yet no combination of these without
intensionality can encode any intensional language.Comment: In Proceedings EXPRESS/SOS 2014, arXiv:1408.127
On the Expressiveness of Joining
The expressiveness of communication primitives has been explored in a common
framework based on the pi-calculus by considering four features: synchronism
(asynchronous vs synchronous), arity (monadic vs polyadic data), communication
medium (shared dataspaces vs channel-based), and pattern-matching (binding to a
name vs testing name equality vs intensionality). Here another dimension
coordination is considered that accounts for the number of processes required
for an interaction to occur. Coordination generalises binary languages such as
pi-calculus to joining languages that combine inputs such as the Join Calculus
and general rendezvous calculus. By means of possibility/impossibility of
encodings, this paper shows coordination is unrelated to the other features.
That is, joining languages are more expressive than binary languages, and no
combination of the other features can encode a joining language into a binary
language. Further, joining is not able to encode any of the other features
unless they could be encoded otherwise.Comment: In Proceedings ICE 2015, arXiv:1508.04595. arXiv admin note:
substantial text overlap with arXiv:1408.145
Separability in the Ambient Logic
The \it{Ambient Logic} (AL) has been proposed for expressing properties of
process mobility in the calculus of Mobile Ambients (MA), and as a basis for
query languages on semistructured data. We study some basic questions
concerning the discriminating power of AL, focusing on the equivalence on
processes induced by the logic . As underlying calculi besides MA we
consider a subcalculus in which an image-finiteness condition holds and that we
prove to be Turing complete. Synchronous variants of these calculi are studied
as well. In these calculi, we provide two operational characterisations of
: a coinductive one (as a form of bisimilarity) and an inductive one
(based on structual properties of processes). After showing to be stricly
finer than barbed congruence, we establish axiomatisations of on the
subcalculus of MA (both the asynchronous and the synchronous version), enabling
us to relate to structural congruence. We also present some
(un)decidability results that are related to the above separation properties
for AL: the undecidability of on MA and its decidability on the
subcalculus.Comment: logical methods in computer science, 44 page
An Intensional Concurrent Faithful Encoding of Turing Machines
The benchmark for computation is typically given as Turing computability; the
ability for a computation to be performed by a Turing Machine. Many languages
exploit (indirect) encodings of Turing Machines to demonstrate their ability to
support arbitrary computation. However, these encodings are usually by
simulating the entire Turing Machine within the language, or by encoding a
language that does an encoding or simulation itself. This second category is
typical for process calculi that show an encoding of lambda-calculus (often
with restrictions) that in turn simulates a Turing Machine. Such approaches
lead to indirect encodings of Turing Machines that are complex, unclear, and
only weakly equivalent after computation. This paper presents an approach to
encoding Turing Machines into intensional process calculi that is faithful,
reduction preserving, and structurally equivalent. The encoding is demonstrated
in a simple asymmetric concurrent pattern calculus before generalised to
simplify infinite terms, and to show encodings into Concurrent Pattern Calculus
and Psi Calculi.Comment: In Proceedings ICE 2014, arXiv:1410.701
Expressiveness via Intensionality and Concurrency
International audienceComputation can be considered by taking into account two dimensions: extensional versus intensional, and sequential versus concurrent. Traditionally sequential extensional computation can be captured by the lambda-calculus. However, recent work shows that there are more expressive intensional calculi such as SF-calculus. Traditionally process calculi capture computation by encoding the lambda-calculus, such as in the pi-calculus. Following this increased expressiveness via intensionality, other recent work has shown that concurrent pattern calculus is more expressive than pi-calculus. This paper formalises the relative expressiveness of all four of these calculi by placing them on a square whose edges are irreversible encodings. This square is representative of a more general result: that expressiveness increases with both intensionality and concurrency
Reasoning over Taxonomic Change: Exploring Alignments for the Perelleschus Use Case
Classifications and phylogenetic inferences of organismal groups change in
light of new insights. Over time these changes can result in an imperfect
tracking of taxonomic perspectives through the re-/use of Code-compliant or
informal names. To mitigate these limitations, we introduce a novel approach
for aligning taxonomies through the interaction of human experts and logic
reasoners. We explore the performance of this approach with the Perelleschus
use case of Franz & Cardona-Duque (2013). The use case includes six taxonomies
published from 1936 to 2013, 54 taxonomic concepts (i.e., circumscriptions of
names individuated according to their respective source publications), and 75
expert-asserted Region Connection Calculus articulations (e.g., congruence,
proper inclusion, overlap, or exclusion). An Open Source reasoning toolkit is
used to analyze 13 paired Perelleschus taxonomy alignments under heterogeneous
constraints and interpretations. The reasoning workflow optimizes the logical
consistency and expressiveness of the input and infers the set of maximally
informative relations among the entailed taxonomic concepts. The latter are
then used to produce merge visualizations that represent all congruent and
non-congruent taxonomic elements among the aligned input trees. In this small
use case with 6-53 input concepts per alignment, the information gained through
the reasoning process is on average one order of magnitude greater than in the
input. The approach offers scalable solutions for tracking provenance among
succeeding taxonomic perspectives that may have differential biases in naming
conventions, phylogenetic resolution, ingroup and outgroup sampling, or
ostensive (member-referencing) versus intensional (property-referencing)
concepts and articulations.Comment: 30 pages, 16 figure
Reasoning over Taxonomic Change: Exploring Alignments for the Perelleschus Use Case
abstract: Classifications and phylogenetic inferences of organismal groups change in light of new insights. Over time these changes can result in an imperfect tracking of taxonomic perspectives through the re-/use of Code-compliant or informal names. To mitigate these limitations, we introduce a novel approach for aligning taxonomies through the interaction of human experts and logic reasoners. We explore the performance of this approach with the Perelleschus use case of Franz & Cardona-Duque (2013). The use case includes six taxonomies published from 1936 to 2013, 54 taxonomic concepts (i.e., circumscriptions of names individuated according to their respective source publications), and 75 expert-asserted Region Connection Calculus articulations (e.g., congruence, proper inclusion, overlap, or exclusion). An Open Source reasoning toolkit is used to analyze 13 paired Perelleschus taxonomy alignments under heterogeneous constraints and interpretations. The reasoning workflow optimizes the logical consistency and expressiveness of the input and infers the set of maximally informative relations among the entailed taxonomic concepts. The latter are then used to produce merge visualizations that represent all congruent and non-congruent taxonomic elements among the aligned input trees. In this small use case with 6-53 input concepts per alignment, the information gained through the reasoning process is on average one order of magnitude greater than in the input. The approach offers scalable solutions for tracking provenance among succeeding taxonomic perspectives that may have differential biases in naming conventions, phylogenetic resolution, ingroup and outgroup sampling, or ostensive (member-referencing) versus intensional (property-referencing) concepts and articulations.The article is published at http://journals.plos.org/plosone/article?id=10.1371/journal.pone.011824
Expressiveness of SHACL Features
SHACL is a W3C-proposed schema language for expressing structural constraints on RDF graphs. Recent work on formalizing this language has revealed a striking relationship to description logics. SHACL expressions can use four fundamental features that are not so common in description logics. These features are zero-or-one path expressions; equality tests; disjointness tests; and closure constraints. Moreover, SHACL is peculiar in allowing only a restricted form of expressions (so-called targets) on the left-hand side of inclusion constraints.
The goal of this paper is to obtain a clear picture of the impact and expressiveness of these features and restrictions. We show that each of the four features is primitive: using the feature, one can express boolean queries that are not expressible without using the feature. We also show that the restriction that SHACL imposes on allowed targets is inessential, as long as closure constraints are not used
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