Konstantinos F. Sagonas

XSB as an efficient deductive database engine

This paper describes the XSB system, and its use as an in-memory deductive database engine. XSB began from a Prolog foundation, and traditional Prolog systems are known to have serious deficiencies when used as database systems. Accordingly, XSB has a fundamental bottom-up extension, introduced through tabling (or memoing)[4], which makes it appropriate as an underlying query engine for deductive database systems. Because it eliminates redundant computation, the tabling extension makes XSB able to compute all modularly stratified datalog programs finitely and with polynomial data complexity. For non-stratified programs, a meta-interpreter with the same properties is provided. In addition XSB significantly extends and improves the indexing capabilities over those of standard Prolog. Finally, its syntactic basis in HiLog [2], lends it flexibility for data modelling. The implementation of XSB derives from the WAM [25], the most common Prolog engine. XSB inherits the WAMs efficiency and can take advantage of extensive compiler technology developed for Prolog. As a result, performance comparisons indicate that XSB is significantly faster than other deductive database systems for a wide range of queries and stratified rule sets. XSB is under continuous development, and version 1.3 is available through anonymous ftp.

XSB: A System for Effciently Computing WFS

The well-founded model provides a natural and robust semantics for logic programs with negative literals in rule bodies. We implemented the well-founded semantics in the SLG-WAM of XSB [19]. Performance results indicate that the overhead of delay and simplification to Prolog — or tabled — evaluations is minimal. To compute the well-founded semantics, the SLG-WAM adds to an efficient tabling engine for definite programs three operations — negative loop detection, delay and simplification — which serve to detect, to break and to resolve cycles through negation that might arise in evaluating normal programs. XSB is a full Prolog system that closely approximates the ISO standard; additionally, it supports a tight integration of tabled predicates with nontabled predicates.The well-founded model provides a natural and robust semantics for logic programs with negative literals in rule bodies. We implemented the well-founded semantics in the SLG-WAM of XSB 19]. Performance results indicate that the overhead of delay and simpliica-tion to Prolog | or tabled | evaluations is minimal. To compute the well-founded semantics, the SLG-WAM adds to an eecient tabling engine for deenite programs three operations | negative loop detection, delay and simpliication | which serve to detect, to break and to resolve cycles through negation that might arise in evaluating normal programs. XSB is a full Prolog system that closely approximates the ISO standard; additionally, it supports a tight integration of tabled predicates with nontabled predicates.

Efficient access mechanisms for tabled logic programs

Abstract The use of tabling in logic programming allows bottom-up evaluation to be incorporated in a top-down framework, combining advantages of both. At the engine level, tabling also introduces issues not present in pure top-down evaluation, due to the need for subgoals and answers to access tables during resolution. This article describes the design, implementation, and experimental evaluation of data structures and algorithms for high-performance table access. Our approach uses tries as the basis for tables. Tries, a variant of discrimination nets, provide complete discrimination for terms, and permit a lookup and possible insertion to be performed in a single pass through a term. In addition, a novel technique of substitution factoring is proposed. When substitution factoring is used, the access cost for answers is proportional to the size of the answer substitution, rather than to the size of the answer itself. Answer tries can be implemented both as interpreted structures and as compiled WAM-like code. When they are compiled, the speed of computing substitutions through answer tries is competitive with the speed of unit facts compiled or asserted as WAM code. Because answer tries can also be created an order of magnitude more quickly than asserted code, they form a promising alternative for representing certain types of dynamic code, even in Prolog systems without tabling.

Optimal dynamic partial order reduction

Stateless model checking is a powerful technique for program verification, which however suffers from an exponential growth in the number of explored executions. A successful technique for reducing this number, while still maintaining complete coverage, is Dynamic Partial Order Reduction (DPOR). We present a new DPOR algorithm, which is the first to be provably optimal in that it always explores the minimal number of executions. It is based on a novel class of sets, called source sets, which replace the role of persistent sets in previous algorithms. First, we show how to modify an existing DPOR algorithm to work with source sets, resulting in an efficient and simple to implement algorithm. Second, we extend this algorithm with a novel mechanism, called wakeup trees, that allows to achieve optimality. We have implemented both algorithms in a stateless model checking tool for Erlang programs. Experiments show that source sets significantly increase the performance and that wakeup trees incur only a small overhead in both time and space.

Practical type inference based on success typings

In languages where the compiler performs no static type checks, many programs never go wrong, but the intended use of functions and component interfaces is often undocumented or appears only in the form of comments which cannot always be trusted. This often makes program maintenance problematic. We show that it is possible to reconstruct a significant portion of the type information which is implicit in a program, automatically annotate function interfaces, and detect definite type clashes without fundamental changes to the philosophy of the language or imposing a type system which unnecessarily rejects perfectly reasonable programs. To do so, we introduce the notion of success typings of functions. Unlike most static type systems, success typings incorporate subtyping and never disallow a use of a function that will not result in a type clash during runtime. Unlike most soft typing systems that have previously been proposed, success typings allow for compositional, bottom-up type inference which appears to scale well in practice. Moreover, by taking control-flow into account and exploiting properties of the language such as its module system, success typings can be refined and become accurate and precise We demonstrate the power and practicality of the approach by applying it to Erlang. We report on our experiences from employing the type inference algorithm, without any guidance, on programs of significant size

A PropEr integration of types and function specifications with property-based testing

We present a tight integration of the language of types and function specifications of Erlang with property-based testing. To achieve this integration we have developed from scratch PropEr, an open-source QuickCheck-inspired property-based testing tool. We present technical details of this integration, most notably how the conversion of recursive types into appropriate generators takes place and how function specifications can be turned automatically into simple properties in order to exercise the code of these functions. Finally, we present experiences and advice for the proper use of PropEr.

Detecting Software Defects in Telecom Applications Through Lightweight Static Analysis: A War Story

In safety-critical and high-reliability systems, software development and maintenance are costly endeavors. The cost can be reduced if software errors can be identified through automatic tools such as program analyzers and compile-time software checkers. To this effect, this paper describes the architecture and implementation of a software tool that uses lightweight static analysis to detect discrepancies (i.e., software defects such as exception-raising code or hidden failures) in large commercial telecom applications written in Erlang. Our tool, starting from virtual machine bytecode, discovers, tracks, and propagates type information which is often implicit in Erlang programs, and reports warnings when a variety of type errors and other software discrepancies are identified. Since the analysis currently starts from bytecode, it is completely automatic and does not rely on any user annotations. Moreover, it is effective in identifying software defects even in cases where source code is not available, and more specifically in legacy software which is often employed in high-reliability systems in operation, such as telecom switches. We have applied our tool to a handful of real-world applications, each consisting of several hundred thousand lines of code, and describe our experiences and the effectiveness of our techniques.

Stateless Model Checking for TSO and PSO

We present a technique for efficient stateless model checking of programs that execute under the relaxed memory models TSO and PSO. The basis for our technique is a novel representation of executions under TSO and PSO, called chronological traces. Chronological traces induce a partial order relation on relaxed memory executions, capturing dependencies that are needed to represent the interaction via shared variables. They are optimal in the sense that they only distinguish computations that are inequivalent under the widely-used representation by Shasha and Snir. This allows an optimal dynamic partial order reduction algorithm to explore a minimal number of executions while still guaranteeing full coverage. We apply our techniques to check, under the TSO and PSO memory models, LLVM assembly produced for C/pthreads programs. Our experiments show that our technique reduces the verification effort for relaxed memory models to be almost that for the standard model of sequential consistency. In many cases, our implementation significantly outperforms other comparable tools.

Stateless model checking for TSO and PSO

We present a technique for efficient stateless model checking of programs that execute under the relaxed memory models TSO and PSO. The basis for our technique is a novel representation of executions under TSO and PSO, called chronological traces. Chronological traces induce a partial order relation on relaxed memory executions, capturing dependencies that are needed to represent the interaction via shared variables. They are optimal in the sense that they only distinguish computations that are inequivalent under the widely-used representation by Shasha and Snir. This allows an optimal dynamic partial order reduction algorithm to explore a minimal number of executions while still guaranteeing full coverage. We apply our techniques to check, under the TSO and PSO memory models, LLVM assembly produced for C/pthreads programs. Our experiments show that our technique reduces the verification effort for relaxed memory models to be almost that for the standard model of sequential consistency. This article is an extended version of Abdulla et al. (Tools and algorithms for the construction and analysis of systems, Springer, New York, pp 353–367, 2015), appearing in TACAS 2015.

Termination proofs for logic programs with tabling

Tabled evaluation is receiving increasing attention in the logic programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often considerably more efficient execution mechanism for logic programs. In particular, tabled execution terminates more often than execution based on SLD-resolution. In this article, we introduce two notions of universal termination of logic programming with tabling: quasi-termination and (the stronger notion of) LG-termination. We present sufficient conditions for these two notions of termination, namely quasi-acceptability and LG-acceptability, and we show that these conditions are also necessary in case the selection of tabled predicates meets certain natural criteria. Starting from these conditions, we develop modular termination proofs, i.e., proofs capable of combining termination proofs of separate programs to obtain termination proofs of combined programs. Finally, in the presence of mode information, we state sufficient conditions which form the basis for automatically proving termination in a constraint-based way.