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Successive approximation of abstract transition relations 抽象转换关系的逐次逼近
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932482
Satyaki Das, D. Dill
Recently, we have improved the efficiency of the predicate abstraction scheme presented by Das, Dill and Park (1999). As a result, the number of validity checks needed to prove the necessary verification condition has been reduced. The key idea is to refine an approximate abstract transition relation based on the counter-example generated. The system starts with an approximate abstract transition relation on which the verification condition (in our case, this is a safety property) is model-checked. If the property holds then the proof is done; otherwise the model checker returns an abstract counter-example trace. This trace is used to refine the abstract transition relation if possible and start anew. At the end of the process, the system either proves the verification condition or comes up with an abstract counter-example trace which holds in the most accurate abstract transition relation possible (with the user-provided predicates as a basis). If the verification condition fails in the abstract system, then either the concrete system does not satisfy it or the abstraction predicates chosen are not strong enough. This algorithm has been used on a concurrent garbage collection algorithm and a secure contract-signing protocol. This method improved the performance on the first problem significantly, and allowed us to tackle the second problem, which the previous method could not handle.
最近,我们改进了Das、Dill和Park(1999)提出的谓词抽象方案的效率。因此,证明必要的核查条件所需的有效性检查的次数减少了。关键思想是在生成反例的基础上提炼近似抽象的转换关系。系统从一个近似的抽象转换关系开始,在这个转换关系上验证条件(在我们的例子中,这是一个安全属性)是经过模型检查的。如果这个性质成立,那么证明就完成了;否则,模型检查器返回一个抽象的反例跟踪。如果可能的话,此跟踪用于细化抽象转换关系并重新开始。在流程的最后,系统要么证明验证条件,要么提出一个抽象的反例跟踪,该跟踪保持尽可能精确的抽象转换关系(以用户提供的谓词为基础)。如果验证条件在抽象系统中失败,则要么是具体系统不满足该条件,要么是选择的抽象谓词不够强。该算法已应用于并发垃圾收集算法和安全合约签署协议。这种方法大大提高了第一个问题的性能,并使我们能够解决第二个问题,这是以前的方法无法解决的。
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引用次数: 122
Semistructured data: from practice to theory 半结构化数据:从实践到理论
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932513
S. Abiteboul
Semi-structured data is data that presents some regularity (i.e. it is not an image or plain text), but perhaps not as much as some relational data or some ODMG data (the standard for object databases). Such data is becoming increasingly important and, with XML, should become the standard for publishing data on the World Wide Web. With XML, the Web is turning into a worldwide heterogeneous distributed database. In this paper, we briefly discuss typing and languages for semi-structured data and some new issues arising from the context of data management on the Web.
半结构化数据是表现出一定规律性的数据(即,它不是图像或纯文本),但可能不如一些关系数据或ODMG数据(对象数据库的标准)那么多。这样的数据正变得越来越重要,并且通过XML,应该成为在万维网上发布数据的标准。有了XML, Web就变成了一个世界性的异构分布式数据库。在本文中,我们简要讨论了半结构化数据的类型和语言,以及在Web数据管理环境中出现的一些新问题。
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引用次数: 14
Strong normalisation in the /spl pi/-calculus /spl pi/-演算中的强归一化
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932507
N. Yoshida, Martin Berger, Kohei Honda
Introduces a typed /spl pi/-calculus where strong normalisation is ensured by typability. Strong normalisation is a useful property in many computational contexts, including distributed systems. In spite of its simplicity, our type discipline captures a wide class of converging name-passing interactive behaviours. The proof of strong normalisability combines methods from typed /spl lambda/-calculi and linear logic with process-theoretic reasoning. It is adaptable to systems involving state and other extensions. Strong normalisation is shown to have significant consequences, including finite axiomatisation of weak bisimilarity, a fully abstract embedding of the simply-typed /spl lambda/-calculus with products and sums and basic liveness in interaction. Strong normalisability has been extensively studied as a fundamental property in functional calculi, term rewriting and logical systems. This work is one of the first steps to extend theories and proof methods for strong normalisability to the context of name-passing processes.
引入类型化/spl pi/-演算,通过可类型性确保强规范化。在许多计算环境(包括分布式系统)中,强规范化是一个有用的属性。尽管它很简单,但我们的类型规程捕获了广泛的集合命名传递交互行为。强规格化性的证明结合了类型化/spl λ /-演算和线性逻辑的方法以及过程论推理。它适用于涉及状态和其他扩展的系统。强规范化被证明具有重要的结果,包括弱双相似性的有限公理化,具有乘积和和的简单类型/spl λ /-微积分的完全抽象嵌入以及交互中的基本活跃性。强归一化性作为函数演算、项重写和逻辑系统中的一个基本性质得到了广泛的研究。这项工作是将强规范化理论和证明方法扩展到名称传递过程背景的第一步。
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引用次数: 29
Deconstructing Shostak 解构肖斯塔克
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932479
H. Ruess, N. Shankar
Decision procedures for equality in a combination of theories are at the core of a number of verification systems. R.E. Shostak's (J. of the ACM, vol. 31, no. 1, pp. 1-12, 1984) decision procedure for equality in the combination of solvable and canonizable theories has been around for nearly two decades. Variations of this decision procedure have been implemented in a number of specification and verification systems, including STP, EHDM, PVS, STeP and SVC. The algorithm is quite subtle and a correctness argument for it has remained elusive. Shostak's algorithm and all previously published variants of it yield incomplete decision procedures. We describe a variant of Shostak's algorithm, along with proofs of termination, soundness and completeness.
结合各种理论的平等决策程序是若干核查系统的核心。R.E.肖斯塔克的《美国计算机学会学报》,第31卷,第31期。(1, pp. 1-12, 1984)在可解理论和可规范理论的结合中,相等的决定程序已经存在了近二十年。该决策程序的变体已在许多规范和验证系统中实现,包括STP, EHDM, PVS, STeP和SVC。该算法相当微妙,其正确性的论证仍然难以捉摸。肖斯塔克的算法和所有以前发表的它的变体产生不完整的决策过程。我们描述了Shostak算法的一个变体,以及终止、健全和完备性的证明。
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引用次数: 95
On ordering constraints for deduction with built-in Abelian semigroups, monoids and groups 关于内建阿贝尔半群、半群和群演绎的序约束
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932481
Guillem Godoy, R. Nieuwenhuis
It is crucial for the performance of ordered resolution or paramodulation-based deduction systems that they incorporate specialized techniques to work efficiently with standard algebraic theories E. Essential ingredients for this purpose are term orderings that are E-compatible, for the given E, and algorithms deciding constraint satisfiability for such orderings. In this paper, we introduce a uniform technique providing the first such algorithms for some orderings for Abelian semigroups, Abelian monoids and Abelian groups, which we believe will lead to reasonably efficient techniques for practice. The algorithms are optimal since we show that, for any well-founded E-compatible ordering for these E, the constraint satisfiability problem is NP-hard, even for conjunctions of inequations, and that our algorithms are in NP.
对于有序解决或基于辅助调制的演绎系统的性能来说,它们结合专门的技术来有效地与标准代数理论E一起工作是至关重要的。实现这一目的的基本要素是对于给定的E来说,与E兼容的项排序以及决定这些排序的约束可满足性的算法。在本文中,我们介绍了一种统一的技术,为阿贝尔半群、阿贝尔单群和阿贝尔群的某些排序提供了第一个这样的算法,我们相信这将导致实践中合理有效的技术。这些算法是最优的,因为我们表明,对于这些E的任何有充分根据的E兼容排序,约束可满足性问题是NP困难的,甚至对于不等式的连接,并且我们的算法是NP的。
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引用次数: 4
"An n! lower bound on formula size" “一个n !公式大小的下界
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932497
M. Adler, N. Immerman
We introduce a new Ehrenfeucht-Fraisse game for proving lower bounds on the size of first-order formulas. Up until now such games have only been used to prove bounds on the operator depth of formulas, not their size. We use this game to prove that the CTL/sup +/ formula Occur/sub n//spl equiv/E[Fp/sub 1//spl and/Fp/sub 2//spl and//spl middot//spl middot//spl middot//spl and/F/sub n/] which says that there is a path along which the predicates p/sub 1/ through p/sub n/ occur in some order; requires size n! to express in CTL. Our lower bound is optimal. It follows that the succinctness of CTL+ with respect to CTL is exactly /spl Theta/(n). Wilke (1999) had shown that the succinctness was at least exponential. We also use our games to prove all optimal /spl Theta/(n) lower bound on the number of boolean variables needed for a weak reachability logic (/spl Rscr//spl Lscr//sup w/) to polynomially embed the language LTL. The number of booleans needed for full reachability logic RC and the transitive closure logic FO/sup 2/(TC) remain open (Immerman and Vardi, 1997; Alechina and Immerman, 2000).
我们引入了一种新的Ehrenfeucht-Fraisse博弈来证明一阶公式大小的下界。到目前为止,这样的游戏只被用来证明公式的算子深度的边界,而不是它们的大小。我们用这个博弈证明了CTL/sup +/公式Occur/sub n//spl equiv/E[Fp/sub 1//spl和/Fp/sub 2//spl和//spl middot//spl middot//spl middot//spl middot//spl和/F/sub n/],它表明存在一条路径,谓词p/sub 1/到p/sub n/按某种顺序出现;需要大小为n!以CTL表达。下界是最优的。由此可见,CTL+相对于CTL的简洁性正好是/spl Theta/(n)。Wilke(1999)已经表明,简洁性至少是指数级的。我们还使用我们的游戏来证明弱可达性逻辑(/spl Rscr//spl Lscr//sup w/)多项式嵌入语言LTL所需的布尔变量数量的所有最优/spl Theta/(n)下界。完全可达逻辑RC和传递闭包逻辑FO/sup 2/(TC)所需的布尔数保持开放(Immerman and Vardi, 1997;Alechina and Immerman, 2000)。
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引用次数: 65
Semantics of name and value passing 名称和值传递的语义
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932486
M. Fiore, D. Turi
Provides a semantic framework for (first-order) message-passing process calculi by combining categorical theories of abstract syntax with binding and operational semantics. In particular, we obtain abstract rule formats for name and value passing with both late and early interpretations. These formats induce an initial-algebra/final-coalgebra semantics that is compositional, respects substitution and is fully abstract for late and early congruence. We exemplify the theory with the /spl pi/-calculus and value-passing CCS (calculus of communicating systems).
通过将抽象语法的范畴理论与绑定和操作语义相结合,为(一阶)消息传递过程演算提供语义框架。特别地,我们获得了名称和值传递的抽象规则格式,其中包含了后期和早期的解释。这些格式引出了一个初始代数/最终协代数语义,它是组合的,尊重替换,并且对于晚同余和早同余是完全抽象的。我们用/spl pi/-演算和值传递CCS(通信系统演算)来举例说明这一理论。
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引用次数: 143
From verification to control: dynamic programs for omega-regular objectives 从验证到控制:omega-regular目标的动态程序
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932504
L. D. Alfaro, T. Henzinger, R. Majumdar
Dynamic programs, or fixpoint iteration schemes, are useful for solving many problems on state spaces. For Kripke structures, a rich fixpoint theory is available in the form of the /spl mu/-calculus, yet few connections have been made between different interpretations of fixpoint algorithms. We study the question of when a particular fixpoint iteration scheme /spl phi/ for verifying an /spl omega/-regular property /spl Psi/ on a Kripke structure can be used also for solving a two-player game on a game graph with winning objective /spl Psi/. We provide a sufficient and necessary criterion for the answer to be affirmative in the form of an extremal-model theorem for games: under a game interpretation, the dynamic program /spl phi/ solves the game with objective /spl Psi/ iff both (1) under an existential interpretation on Kripke structures, /spl phi/ is equivalent to /spl exist//spl Psi/, and (2) under a universal interpretation on Kripke structures, /spl phi/ is equivalent to /spl forall//spl Psi/. In other words, /spl phi/ is correct on all two-player game graphs iff it is correct on all extremal game graphs, where one or the other player has no choice of moves. The theorem generalizes to quantitative interpretations, where it connects two-player games with costs to weighted graphs. While the standard translations from /spl omega/-regular properties to the /spl mu/-calculus violate (1) or (2), we give a translation that satisfies both conditions. Our construction, therefore, yields fixpoint iteration schemes that can be uniformly applied on Kripke structures, weighted graphs, game graphs, and game graphs with costs, in order to meet or optimize a given /spl omega/-regular objective.
动态规划或不动点迭代方案对于解决状态空间上的许多问题非常有用。对于Kripke结构,丰富的不动点理论以/spl mu/-演算的形式存在,但不动点算法的不同解释之间很少有联系。我们研究了用于验证Kripke结构上的/spl / /-正则性质/spl Psi/的特定不动点迭代方案/spl phi/是否也可用于求解具有获胜目标/spl Psi/的博弈图上的二人博弈问题。我们以博弈的极值模型定理的形式给出了答案是肯定的充分必要的判据:在博弈解释下,动态规划/spl phi/解决了具有目标/spl Psi/的博弈(1)在Kripke结构上的存在解释下,/spl phi/等价于/spl存在//spl Psi/;(2)在Kripke结构上的普遍解释下,/spl phi/等价于/spl forall//spl Psi/。换句话说,/spl phi/在所有两人博弈图上都是正确的,前提是它在所有极值博弈图上都是正确的,在极值博弈图上,一方或另一方没有选择。这个定理可以推广到定量解释,它将两个玩家的游戏与加权图的成本联系起来。虽然从/spl /-正则性质到/spl mu/-微积分的标准转换违反(1)或(2),但我们给出了满足这两个条件的转换。因此,我们的构造产生了不动点迭代方案,可以统一应用于Kripke结构,加权图,博弈图和具有成本的博弈图,以满足或优化给定的/spl ω /-规则目标。
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引用次数: 63
On the decision problem for the guarded fragment with transitivity 具有传递性的保护片段的决策问题
Pub Date : 2001-06-16 DOI: 10.1109/LICS.2001.932491
W. Szwast, Lidia Tendera
The guarded fragment with transitive guards, [GF+TG], is an extension of GF in which certain relations are required to be transitive, transitive predicate letters appear only in guards of the quantifiers and the equality symbol may appear everywhere. We prove that the decision problem for [GF+TG] is decidable. This answers the question posed in (Ganzinger et al., 1999). Moreover, we show that the problem is 2EXPTIME-complete. This result is optimal since the satisfiability problem for GF is 2EXPTIME-complete (Gradel, 1999). We also show that the satisfiability problem for two-variable [GF+TG] is NEXPTIME-hard in contrast to GF with bounded number of variables for which the satisfiability problem is EXPTIME-complete.
带传递保护的被保护片段[GF+TG]是GF的扩展,其中某些关系必须是传递的,传递谓词字母只出现在量词的保护中,等式符号可以出现在任何地方。证明了[GF+TG]的决策问题是可决定的。这回答了(Ganzinger et al., 1999)中提出的问题。此外,我们还证明了这个问题是2EXPTIME-complete的。这个结果是最优的,因为GF的可满足性问题是2EXPTIME-complete (Gradel, 1999)。我们还证明了两变量[GF+TG]的可满足性问题是expptime -hard的,而具有有限变量数的GF的可满足性问题是EXPTIME-complete的。
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引用次数: 37
期刊
Proceedings 16th Annual IEEE Symposium on Logic in Computer Science
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