16,358 research outputs found
Nominal Unification of Higher Order Expressions with Recursive Let
A sound and complete algorithm for nominal unification of higher-order
expressions with a recursive let is described, and shown to run in
non-deterministic polynomial time. We also explore specializations like nominal
letrec-matching for plain expressions and for DAGs and determine the complexity
of corresponding unification problems.Comment: Pre-proceedings paper presented at the 26th International Symposium
on Logic-Based Program Synthesis and Transformation (LOPSTR 2016), Edinburgh,
Scotland UK, 6-8 September 2016 (arXiv:1608.02534
Region-based memory management for Mercury programs
Region-based memory management (RBMM) is a form of compile time memory
management, well-known from the functional programming world. In this paper we
describe our work on implementing RBMM for the logic programming language
Mercury. One interesting point about Mercury is that it is designed with strong
type, mode, and determinism systems. These systems not only provide Mercury
programmers with several direct software engineering benefits, such as
self-documenting code and clear program logic, but also give language
implementors a large amount of information that is useful for program analyses.
In this work, we make use of this information to develop program analyses that
determine the distribution of data into regions and transform Mercury programs
by inserting into them the necessary region operations. We prove the
correctness of our program analyses and transformation. To execute the
annotated programs, we have implemented runtime support that tackles the two
main challenges posed by backtracking. First, backtracking can require regions
removed during forward execution to be "resurrected"; and second, any memory
allocated during a computation that has been backtracked over must be recovered
promptly and without waiting for the regions involved to come to the end of
their life. We describe in detail our solution of both these problems. We study
in detail how our RBMM system performs on a selection of benchmark programs,
including some well-known difficult cases for RBMM. Even with these difficult
cases, our RBMM-enabled Mercury system obtains clearly faster runtimes for 15
out of 18 benchmarks compared to the base Mercury system with its Boehm runtime
garbage collector, with an average runtime speedup of 24%, and an average
reduction in memory requirements of 95%. In fact, our system achieves optimal
memory consumption in some programs.Comment: 74 pages, 23 figures, 11 tables. A shorter version of this paper,
without proofs, is to appear in the journal Theory and Practice of Logic
Programming (TPLP
Set Unification
The unification problem in algebras capable of describing sets has been
tackled, directly or indirectly, by many researchers and it finds important
applications in various research areas--e.g., deductive databases, theorem
proving, static analysis, rapid software prototyping. The various solutions
proposed are spread across a large literature. In this paper we provide a
uniform presentation of unification of sets, formalizing it at the level of set
theory. We address the problem of deciding existence of solutions at an
abstract level. This provides also the ability to classify different types of
set unification problems. Unification algorithms are uniformly proposed to
solve the unification problem in each of such classes.
The algorithms presented are partly drawn from the literature--and properly
revisited and analyzed--and partly novel proposals. In particular, we present a
new goal-driven algorithm for general ACI1 unification and a new simpler
algorithm for general (Ab)(Cl) unification.Comment: 58 pages, 9 figures, 1 table. To appear in Theory and Practice of
Logic Programming (TPLP
A Tractable Extension of Linear Indexed Grammars
It has been shown that Linear Indexed Grammars can be processed in polynomial
time by exploiting constraints which make possible the extensive use of
structure-sharing. This paper describes a formalism that is more powerful than
Linear Indexed Grammar, but which can also be processed in polynomial time
using similar techniques. The formalism, which we refer to as Partially Linear
PATR manipulates feature structures rather than stacks.Comment: 8 pages LaTeX, uses eaclap.sty, to appear in EACL-9
Fuzzy Dynamic Discrimination Algorithms for Distributed Knowledge Management Systems
A reduction of the algorithmic complexity of the fuzzy inference engine has the following property: the inputs (the fuzzy rules and the fuzzy facts) can be divided in two parts, one being relatively constant for a long a time (the fuzzy rule or the knowledge model) when it is compared to the second part (the fuzzy facts) for every inference cycle. The occurrence of certain transformations over the constant part makes sense, in order to decrease the solution procurement time, in the case that the second part varies, but it is known at certain moments in time. The transformations attained in advance are called pre-processing or knowledge compilation. The use of variables in a Business Rule Management System knowledge representation allows factorising knowledge, like in classical knowledge based systems. The language of the first-degree predicates facilitates the formulation of complex knowledge in a rigorous way, imposing appropriate reasoning techniques. It is, thus, necessary to define the description method of fuzzy knowledge, to justify the knowledge exploiting efficiency when the compiling technique is used, to present the inference engine and highlight the functional features of the pattern matching and the state space processes. This paper presents the main results of our project PR356 for designing a compiler for fuzzy knowledge, like Rete compiler, that comprises two main components: a static fuzzy discrimination structure (Fuzzy Unification Tree) and the Fuzzy Variables Linking Network. There are also presented the features of the elementary pattern matching process that is based on the compiled structure of fuzzy knowledge. We developed fuzzy discrimination algorithms for Distributed Knowledge Management Systems (DKMSs). The implementations have been elaborated in a prototype system FRCOM (Fuzzy Rule COMpiler).Fuzzy Unification Tree, Dynamic Discrimination of Fuzzy Sets, DKMS, FRCOM
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