2,684 research outputs found
Proving Correctness of Imperative Programs by Linearizing Constrained Horn Clauses
We present a method for verifying the correctness of imperative programs
which is based on the automated transformation of their specifications. Given a
program prog, we consider a partial correctness specification of the form
prog , where the assertions and are
predicates defined by a set Spec of possibly recursive Horn clauses with linear
arithmetic (LA) constraints in their premise (also called constrained Horn
clauses). The verification method consists in constructing a set PC of
constrained Horn clauses whose satisfiability implies that prog
is valid. We highlight some limitations of state-of-the-art
constrained Horn clause solving methods, here called LA-solving methods, which
prove the satisfiability of the clauses by looking for linear arithmetic
interpretations of the predicates. In particular, we prove that there exist
some specifications that cannot be proved valid by any of those LA-solving
methods. These specifications require the proof of satisfiability of a set PC
of constrained Horn clauses that contain nonlinear clauses (that is, clauses
with more than one atom in their premise). Then, we present a transformation,
called linearization, that converts PC into a set of linear clauses (that is,
clauses with at most one atom in their premise). We show that several
specifications that could not be proved valid by LA-solving methods, can be
proved valid after linearization. We also present a strategy for performing
linearization in an automatic way and we report on some experimental results
obtained by using a preliminary implementation of our method.Comment: To appear in Theory and Practice of Logic Programming (TPLP),
Proceedings of ICLP 201
Correctness and completeness of logic programs
We discuss proving correctness and completeness of definite clause logic
programs. We propose a method for proving completeness, while for proving
correctness we employ a method which should be well known but is often
neglected. Also, we show how to prove completeness and correctness in the
presence of SLD-tree pruning, and point out that approximate specifications
simplify specifications and proofs.
We compare the proof methods to declarative diagnosis (algorithmic
debugging), showing that approximate specifications eliminate a major drawback
of the latter. We argue that our proof methods reflect natural declarative
thinking about programs, and that they can be used, formally or informally, in
every-day programming.Comment: 29 pages, 2 figures; with editorial modifications, small corrections
and extensions. arXiv admin note: text overlap with arXiv:1411.3015. Overlaps
explained in "Related Work" (p. 21
Towards a Rule Interchange Language for the Web
This articles discusses rule languages that are needed for a a
full deployment of the SemanticWeb. First, it motivates the need for such
languages. Then, it presents ten theses addressing (1) the rule and/or
logic languages needed on the Web, (2) data and data processing, (3)
semantics, and (4) engineering and rendering issues. Finally, it discusses
two options that might be chosen in designing a Rule Interchange Format
for the Web
Knowledge Representation Concepts for Automated SLA Management
Outsourcing of complex IT infrastructure to IT service providers has
increased substantially during the past years. IT service providers must be
able to fulfil their service-quality commitments based upon predefined Service
Level Agreements (SLAs) with the service customer. They need to manage, execute
and maintain thousands of SLAs for different customers and different types of
services, which needs new levels of flexibility and automation not available
with the current technology. The complexity of contractual logic in SLAs
requires new forms of knowledge representation to automatically draw inferences
and execute contractual agreements. A logic-based approach provides several
advantages including automated rule chaining allowing for compact knowledge
representation as well as flexibility to adapt to rapidly changing business
requirements. We suggest adequate logical formalisms for representation and
enforcement of SLA rules and describe a proof-of-concept implementation. The
article describes selected formalisms of the ContractLog KR and their adequacy
for automated SLA management and presents results of experiments to demonstrate
flexibility and scalability of the approach.Comment: Paschke, A. and Bichler, M.: Knowledge Representation Concepts for
Automated SLA Management, Int. Journal of Decision Support Systems (DSS),
submitted 19th March 200
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