381 research outputs found
Rewriting Modulo SMT and Open System Analysis
This paper proposes rewriting modulo SMT, a new technique that
combines the power of SMT solving, rewriting modulo theories, and model checking.
Rewriting modulo SMT is ideally suited to model and analyze reachability
properties of infinite-state open systems, i.e., systems that interact with a nondeterministic
environment. Such systems exhibit both internal nondeterminism,
which is proper to the system, and external nondeterminism, which is due to the
environment. In a reflective formalism, such as rewriting logic, rewriting modulo
SMT can be reduced to standard rewriting. Hence, rewriting modulo SMT naturally
extends rewriting-based reachability analysis techniques, which are available
for closed systems, to open systems. The proposed technique is illustrated
with the formal analysis of: (i) a real-time system that is beyond the scope of
timed-automata methods and (ii) automatic detection of reachability violations in
a synchronous language developed to support autonomous spacecraft operations.NSF Grant CNS 13-19109 and NASA Research Cooperative Agreement No. NNL09AA00AOpe
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
Datalog-Based program analysis with BES and RWL
This paper describes two techniques for Datalog query evaluation and their application to object-oriented program analysis. The first technique transforms Datalog programs into an implicit Boolean Equation System (Bes) that can then be solved by using linear-time complexity algorithms that are available in existing, general purpose verification toolboxes such as Cadp. In order to improve scalability and to enable analyses involving advanced meta-programming features, we develop a second methodology that transforms Datalog programs into rewriting logic (Rwl) theories. This method takes advantage of the preeminent features and facilities that are available within the high-performance system Maude, which provides a very efficient implementation of Rwl. We provide evidence of the practicality of both approaches by reporting on some experiments with a number of real-world Datalog-based analyses. © 2011 Springer-Verlag.This work has been partially supported by the eu(feder), the Spanish mec/micinn under grants tin2007-68093-C02 and tin2010-21062-C02-02, and the Generalitat Valenciana under grant Emergentes gv/2009/024. M.A.Feliu was partially supported by the Spanish mec fpu grant AP2008-00608.Alpuente Frasnedo, M.; Feliú Gabaldón, MA.; Joubert, C.; Villanueva GarcÃa, A. (2011). Datalog-Based program analysis with BES and RWL. En Datalog Reloaded. Springer Verlag (Germany). 6702:1-20. https://doi.org/10.1007/978-3-642-24206-9_1S1206702Afrati, F.N., Ullman, J.D.: Optimizing joins in a map-reduce environment. In: Manolescu, I., Spaccapietra, S., Teubner, J., Kitsuregawa, M., Léger, A., Naumann, F., Ailamaki, A., Özcan, F. (eds.) EDBT. ACM International Conference Proceeding Series, vol. 426, pp. 99–110. ACM, New York (2010)Alpuente, M., Feliú, M., Joubert, C., Villanueva, A.: Defining Datalog in Rewriting Logic. Technical Report DSIC-II/07/09, DSIC, Universidad Politécnica de Valencia (2009)Alpuente, M., Feliú, M., Joubert, C., Villanueva, A.: Using Datalog and Boolean Equation Systems for Program Analysis. In: Cofer, D., Fantechi, A. (eds.) FMICS 2008. LNCS, vol. 5596, pp. 215–231. Springer, Heidelberg (2009)Alpuente, M., Feliú, M.A., Joubert, C., Villanueva, A.: Defining datalog in rewriting logic. In: De Schreye, D. (ed.) LOPSTR 2009. LNCS, vol. 6037, pp. 188–204. Springer, Heidelberg (2010)Andersen, H.R.: Model checking and boolean graphs. Theoretical Computer Science 126(1), 3–30 (1994)Bancilhon, F., Maier, D., Sagiv, Y., Ullman, J.D.: Magic Sets and Other Strange Ways to Implement Logic Programs. In: Proc. 5th ACM SIGACT-SIGMOD Symp. on Principles of Database Systems, PODS 1986, pp. 1–15. ACM Press, New York (1986)Ceri, S., Gottlob, G., Tanca, L.: Logic Programming and Databases. Springer, Heidelberg (1990)Chen, T., Ploeger, B., van de Pol, J., Willemse, T.A.C.: Equivalence Checking for Infinite Systems Using Parameterized Boolean Equation Systems. In: Caires, L., Vasconcelos, V.T. (eds.) CONCUR 2007. LNCS, vol. 4703, pp. 120–135. Springer, Heidelberg (2007)Clavel, M., Durán, F., Ejer, S., Lincoln, P., MartÃ-Oliet, N., Meseguer, J., Talcott, C.: All About Maude - A High-Performance Logical Framework. LNCS, vol. 4350. Springer, Heidelberg (2007)Dam, A., Ploeger, B., Willemse, T.: Instantiation for Parameterised Boolean Equation Systems. In: Fitzgerald, J.S., Haxthausen, A.E., Yenigun, H. (eds.) ICTAC 2008. LNCS, vol. 5160, pp. 440–454. Springer, Heidelberg (2008)de Moor, O., Sereni, D., Verbaere, M., Hajiyev, E., Avgustinov, P., Ekman, T., Ongkingco, N., Tibble, J.: QL: Object-oriented queries made easy. In: Lämmel, R., Visser, J., Saraiva, J. (eds.) GTTSE 2008. LNCS, vol. 5235, pp. 78–133. Springer, Heidelberg (2008)Feliú, M., Joubert, C., TarÃn, F.: Efficient BES-based Bottom-Up Evaluation of Datalog Programs. In: GulÃas, V., Silva, J., Villanueva, A. (eds.) Proc. X Jornadas sobre Programación y Lenguajes (PROLE 2010), Garceta, pp. 165–176 (2010)Feliú, M., Joubert, C., TarÃn, F.: Evaluation strategies for datalog-based points-to analysis. In: Bendisposto, J., Leuschel, M., Roggenbach, M. (eds.) Proc. 10th Workshop on Automated Verification of Critical Systems (AVoCS 2010), pp. 88–103. Technical Report of Düsseldorf University (2010)Garavel, H., Mateescu, R., Lang, F., Serwe, W.: CADP 2006: A Toolbox for the Construction and Analysis of Distributed Processes. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 158–163. Springer, Heidelberg (2007)Hajiyev, E., Verbaere, M., de Moor, O.: CodeQuest: Scalable Source Code Queries with Datalog. In: Hu, Q. (ed.) ECOOP 2006. LNCS, vol. 4067, pp. 2–27. Springer, Heidelberg (2006)Hanus, M.: The Integration of Functions into Logic Programming: From Theory to Practice. Journal on Logic Programming 19 & 20, 583–628 (1994)Joubert, C., Mateescu, R.: Distributed On-the-Fly Model Checking and Test Case Generation. In: Valmari, A. (ed.) SPIN 2006. LNCS, vol. 3925, pp. 126–145. Springer, Heidelberg (2006)Leeuwen, J. (ed.): Formal Models and Semantics, vol. B. Elsevier, The MIT Press (1990)Liu, X., Smolka, S.A.: Simple Linear-Time Algorithms for Minimal Fixed Points. In: Larsen, K.G., Skyum, S., Winskel, G. (eds.) ICALP 1998. LNCS, vol. 1443, pp. 53–66. Springer, Heidelberg (1998)Liu, Y.A., Stoller, S.D.: From datalog rules to efficient programs with time and space guarantees. ACM Trans. Program. Lang. Syst. 31(6) (2009)Livshits, B., Whaley, J., Lam, M.: Reflection Analysis for Java. In: Yi, K. (ed.) APLAS 2005. LNCS, vol. 3780, pp. 139–160. Springer, Heidelberg (2005)Marchiori, M.: Logic Programs as Term Rewriting Systems. In: RodrÃguez-Artalejo, M., Levi, G. (eds.) ALP 1994. LNCS, vol. 850, pp. 223–241. Springer, Heidelberg (1994)Mateescu, R.: Local Model-Checking of an Alternation-Free Value-Based Modal Mu-Calculus. In: Proc. 2nd Int’l Workshop on Verication, Model Checking and Abstract Interpretation, VMCAI 1998 (1998)Mateescu, R., Thivolle, D.: A Model Checking Language for Concurrent Value-Passing Systems. In: Cuellar, J., Sere, K. (eds.) FM 2008. LNCS, vol. 5014, pp. 148–164. Springer, Heidelberg (2008)Meseguer, J.: Conditional Rewriting Logic as a Unified Model of Concurrency. Theoretical Computer Science 96(1), 73–155 (1992)Meseguer, J.: Membership algebra as a logical framework for equational specification. In: Parisi-Presicce, F. (ed.) WADT 1997. LNCS, vol. 1376, pp. 18–61. Springer, Heidelberg (1998)Reddy, U.: Transformation of Logic Programs into Functional Programs. In: Proc. Symposium on Logic Programming (SLP 1984), pp. 187–197. IEEE Computer Society Press, Los Alamitos (1984)Reps, T.W.: Solving Demand Versions of Interprocedural Analysis Problems. In: Adsul, B. (ed.) CC 1994. LNCS, vol. 786, pp. 389–403. Springer, Heidelberg (1994)Rosu, G., Havelund, K.: Rewriting-Based Techniques for Runtime Verification. Autom. Softw. Eng. 12(2), 151–197 (2005)Schneider-Kamp, P., Giesl, J., Serebrenik, A., Thiemann, R.: Automated Termination Analysis for Logic Programs by Term Rewriting. In: Puebla, G. (ed.) LOPSTR 2006. LNCS, vol. 4407, pp. 177–193. Springer, Heidelberg (2007)Ullman, J.D.: Principles of Database and Knowledge-Base Systems, Volume I and II, The New Technologies. Computer Science Press, Rockville (1989)Vieille, L.: Recursive Axioms in Deductive Databases: The Query/Subquery Approach. In: Proc. 1st Int’l Conf. on Expert Database Systems, EDS 1986, pp. 253–267 (1986)Whaley, J.: Joeq: a Virtual Machine and Compiler Infrastructure. In: Proc. Workshop on Interpreters, Virtual Machines and Emulators, IVME 2003, pp. 58–66. ACM Press, New York (2003)Whaley, J., Avots, D., Carbin, M., Lam, M.S.: Using Datalog with Binary Decision Diagrams for Program Analysis. In: Yi, K. (ed.) APLAS 2005. LNCS, vol. 3780, pp. 97–118. Springer, Heidelberg (2005)Zheng, X., Rugina, R.: Demand-driven alias analysis for C. In: Proc. 35th ACM SIGPLAN-SIGACT Symp. on Principles of Programming Languages, POPL 2008, pp. 197–208. ACM Press, New York (2008
A Survey on Retrieval of Mathematical Knowledge
We present a short survey of the literature on indexing and retrieval of
mathematical knowledge, with pointers to 72 papers and tentative taxonomies of
both retrieval problems and recurring techniques.Comment: CICM 2015, 20 page
Better Together: Unifying Datalog and Equality Saturation
We present egglog, a fixpoint reasoning system that unifies Datalog and
equality saturation (EqSat). Like Datalog, it supports efficient incremental
execution, cooperating analyses, and lattice-based reasoning. Like EqSat, it
supports term rewriting, efficient congruence closure, and extraction of
optimized terms.
We identify two recent applications--a unification-based pointer analysis in
Datalog and an EqSat-based floating-point term rewriter--that have been
hampered by features missing from Datalog but found in EqSat or vice-versa. We
evaluate egglog by reimplementing those projects in egglog. The resulting
systems in egglog are faster, simpler, and fix bugs found in the original
systems.Comment: PLDI 202
Pseudo-contractions as Gentle Repairs
Updating a knowledge base to remove an unwanted consequence is a challenging task. Some of the original sentences must be either deleted or weakened in such a way that the sentence to be removed is no longer entailed by the resulting set. On the other hand, it is desirable that the existing knowledge be preserved as much as possible, minimising the loss of information. Several approaches to this problem can be found in the literature. In particular, when the knowledge is represented by an ontology, two different families of frameworks have been developed in the literature in the past decades with numerous ideas in common but with little interaction between the communities: applications of AGM-like Belief Change and justification-based Ontology Repair. In this paper, we investigate the relationship between pseudo-contraction operations and gentle repairs. Both aim to avoid the complete deletion of sentences when replacing them with weaker versions is enough to prevent the entailment of the unwanted formula. We show the correspondence between concepts on both sides and investigate under which conditions they are equivalent. Furthermore, we propose a unified notation for the two approaches, which might contribute to the integration of the two areas
Twenty years of rewriting logic
AbstractRewriting logic is a simple computational logic that can naturally express both concurrent computation and logical deduction with great generality. This paper provides a gentle, intuitive introduction to its main ideas, as well as a survey of the work that many researchers have carried out over the last twenty years in advancing: (i) its foundations; (ii) its semantic framework and logical framework uses; (iii) its language implementations and its formal tools; and (iv) its many applications to automated deduction, software and hardware specification and verification, security, real-time and cyber-physical systems, probabilistic systems, bioinformatics and chemical systems
Survey on Instruction Selection: An Extensive and Modern Literature Review
Instruction selection is one of three optimisation problems involved in the
code generator backend of a compiler. The instruction selector is responsible
of transforming an input program from its target-independent representation
into a target-specific form by making best use of the available machine
instructions. Hence instruction selection is a crucial part of efficient code
generation.
Despite on-going research since the late 1960s, the last, comprehensive
survey on the field was written more than 30 years ago. As new approaches and
techniques have appeared since its publication, this brings forth a need for a
new, up-to-date review of the current body of literature. This report addresses
that need by performing an extensive review and categorisation of existing
research. The report therefore supersedes and extends the previous surveys, and
also attempts to identify where future research should be directed.Comment: Major changes: - Merged simulation chapter with macro expansion
chapter - Addressed misunderstandings of several approaches - Completely
rewrote many parts of the chapters; strengthened the discussion of many
approaches - Revised the drawing of all trees and graphs to put the root at
the top instead of at the bottom - Added appendix for listing the approaches
in a table See doc for more inf
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