18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.最新文献

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A proof theory for generic judgments: an extended abstract 一般判断的证明理论:扩展的抽象
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210051
D. Miller, Alwen Tiu
{"title":"A proof theory for generic judgments: an extended abstract","authors":"D. Miller, Alwen Tiu","doi":"10.1109/LICS.2003.1210051","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210051","url":null,"abstract":"A powerful and declarative means of specifying computations containing abstractions involves meta-level, universally quantified generic judgments. We present a proof theory for such judgments in which signatures are associated to each sequent (used to account for eigenvariables of sequent) and to each formula in the sequent (used to account for generic variables locally scoped over the formula). A new quantifier, /spl nabla/, is introduced to explicitly manipulate the local signature. Intuitionistic logic extended with /spl nabla/ satisfies cut-elimination even when the logic is additionally strengthened with a proof theoretic notion of definitions. The resulting logic can be used to encode naturally a number of examples involving name abstractions, and we illustrate using the /spl pi/-calculus and the encoding of object-level provability.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"330 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122836422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 79
Advice about logical AI 关于逻辑AI的建议
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210064
J. McCarthy
{"title":"Advice about logical AI","authors":"J. McCarthy","doi":"10.1109/LICS.2003.1210064","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210064","url":null,"abstract":"Formalized nonmonotonic reasoning emerged in relation to the study of artificial intelligence. The paper discusses some uses of nonmonotonic reasoning that has become a mathematical subject, observations regarding AI, and the problems logical AI encountered before it can reach human level intelligence.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115337416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polynomial-time algorithms from ineffective proofs 多项式时间算法的无效证明
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210052
Paulo Oliva
{"title":"Polynomial-time algorithms from ineffective proofs","authors":"Paulo Oliva","doi":"10.1109/LICS.2003.1210052","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210052","url":null,"abstract":"We present a constructive procedure for extracting polynomial-time realizers from ineffective proofs of /spl Pi//sub 2//sup 0/-theorems in feasible analysis. By ineffective proof we mean a proof which involves the noncomputational principle weak Konig's lemma WKL, and by feasible analysis we mean Cook and Urquhart's system CPV/sup /spl omega// plus quantifier-free choice QF-AC. We shall also discuss the relation between the system CPV/sup /spl omega// + QF-AC and Ferreira's base theory for feasible analysis BTFA, for which /spl Pi//sub 2//sup 0/-conservation of WKL has been non-constructively proven. This paper treats the case of weak Konig's lemma, we indicate how to formalize the proof of the Heine/Borel covering lemma in this system. The main techniques used in the paper are Godel's functional interpretation and a novel form of binary bar recursion.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"131 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134438752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
The planning spectrum - one, two, three, infinity 规划频谱,1、2、3、无穷
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210063
M. Pistore, Moshe Y. Vardi
{"title":"The planning spectrum - one, two, three, infinity","authors":"M. Pistore, Moshe Y. Vardi","doi":"10.1109/LICS.2003.1210063","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210063","url":null,"abstract":"Linear temporal logic (LTL) is widely used for defining conditions on the execution paths of dynamic systems. In the case of dynamic systems that allow for nondeterministic evolutions, one has to specify, along with an LTL formula /spl phi/, which are the paths that are required to satisfy the formula. Two extreme cases are the universal interpretation A./spl phi/, which requires to satisfy the formula for all the possible execution paths, and the existential interpretation E./spl phi/ which requires to satisfy the formula for some execution paths. When LTL is applied to the definition of goals in planning problems on nondeterministic domains, these two extreme cases are too restrictive. It is often impossible to develop plans that achieve the goal in all the nondeterministic evolutions of a system, and it is too weak to require that the goal is satisfied by some executions. In this paper we explore alternative interpretations of an LTL formula that are between these extreme cases. We define a language that permits an arbitrary combination of the A and E quantifiers, thus allowing, for instance, to require that each finite execution can be extended to an execution satisfying an LTL formulas (AE./spl phi/), or that there is some finite execution whose extensions all satisfy an LTL formula (EA./spl phi/). We show that only eight of these combinations of path quantifiers are relevant, corresponding to an alternation of the quantifiers of length one (A and E), two (AE and EA), three (AEA and EAE), and infinity ((AE)/sup /spl omega// and (EA)/sup /spl omega//). We also present a planning algorithm for the new language that is based on an automata-theoretic approach, and studies its complexity.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129519021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
Model checking guarded protocols 模型检查保护协议
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210076
E. Emerson, Vineet Kahlon
{"title":"Model checking guarded protocols","authors":"E. Emerson, Vineet Kahlon","doi":"10.1109/LICS.2003.1210076","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210076","url":null,"abstract":"The parameterized model checking problem (PMCP) is to decide whether a temporal property holds for a uniform family of systems, C||U/sup n/, comprised of a control process, C, and finitely, but arbitrarily, many copies of a user process, U, executing concurrently with interleaving semantics. We delineate the decidability/undecidability boundary of the PMCP for all possible systems that arise by letting processes coordinate using different subsets of the following communication primitives: conjunctive Boolean guards, disjunctive Boolean guards, pairwise rendezvous, asynchronous rendezvous and broadcast actions. Our focus is on the following linear time properties: (p1) LTL/spl bsol/X formulae over C; (p2) LTL formulae over C; (p3) regular properties specified as regular automata; and (p4) /spl omega/-regular automata. We also establish a hierarchy based on the relative expressive power of the primitives by showing that disjunctive guards and pairwise rendezvous are equally expressive, in that we can reduce the PMCP for regular and /spl omega/-regular properties for systems with disjunctive guards and pairwise rendezvous are equally expressive, in that we can reduce the PMCP for regular and /spl omega/-regular properties for systems with disjunctive guards to ones with pairwise rendezvous and vise versa, but that each of asynchronous rendezvous and broadcasts is strictly more expressive than pairwise rendezvous (and disjunctive guards). Moreover, for systems with conjunctive guards, we give a simple characterization of the decidability/undecidability boundary of the PMCP by showing that allowing stuttering sensitive properties bridges the gap between decidability (for p1) and undecidability (for p2). A broad framework for modeling snoopy cache protocols is also presented for which the PMCP for p3 is decidable and that can model all snoopy cache protocols given by Culler and Emerson (1988) thereby overcoming the undecidability results.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122618962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 56
Convergence law for random graphs with specified degree sequence 给定次序列随机图的收敛律
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210070
J. Lynch
{"title":"Convergence law for random graphs with specified degree sequence","authors":"J. Lynch","doi":"10.1109/LICS.2003.1210070","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210070","url":null,"abstract":"The degree sequence of an n-vertex graph is d/sub 0/, ..., d/sub n - 1/, where each d/sub i/ is the number of vertices of degree i in the graph. A random graph with degree sequence d/sub 0/, ..., d/sub n - 1/ is a randomly selected member of the set of graphs on {0, ..., n - 1} with that degree sequence, all choices being equally likely. Let /spl lambda/ /sub 0/, /spl lambda/ /sub 1/, ... be a sequence of nonnegative reals summing to 1. A class of finite graphs has degree sequences approximated by /spl lambda//sub 0/, /spl lambda//sub 1/, ... if, for every i and n, the members of the class of size n have /spl lambda//sub i/ n + o(n) vertices of degree i. Our main result is a convergence law for random graphs with degree sequences approximated by some sequence /spl lambda//sub 0/, /spl lambda//sub 1/, .... With certain conditions on the sequence /spl lambda//sub 0/, /spl lambda//sub 1/, ..., the probability of any first-order sentence on random graphs of size n converges to a limit as n grows.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131579953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Model-checking trace event structures 模型检查跟踪事件结构
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210077
P. Madhusudan
{"title":"Model-checking trace event structures","authors":"P. Madhusudan","doi":"10.1109/LICS.2003.1210077","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210077","url":null,"abstract":"Given regular collection of Mazurkiewicz traces, which can be seen as the behaviors of a finite-state concurrent system, one can associate with it a canonical regular event structure. This event structure is a single (often infinite) structure that captures both the concurrency and conflict information present in the system. We study the problem of model-checking such structures against logics such as first-order logic (FOL), monadic second-order logic (MSOL) and a new logic that lies in between these two called monadic trace logic (MTL). MTL is a fragment of MSOL where the quantification is restricted to sets that are conflict-free. While it is known that model-checking such event structures against MSOL is undecidable, our main results are that FOL and MTL admit effective model-checking procedures. It turns out that FOL captures previously known decidable temporal logics on event structures. MTL is more powerful and can express interesting branching-time properties of event structures, and when restricted to a sequential setting, can express the standard logic CTL over trees.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126405263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 30
Will deflation lead to depletion? On non-monotone fixed point inductions 通货紧缩会导致经济枯竭吗?关于非单调不动点归纳
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 2003-06-22 DOI: 10.1109/LICS.2003.1210055
E. Grädel, S. Kreutzer
{"title":"Will deflation lead to depletion? On non-monotone fixed point inductions","authors":"E. Grädel, S. Kreutzer","doi":"10.1109/LICS.2003.1210055","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210055","url":null,"abstract":"We survey logical formalisms based on inflationary and deflationary fixed points, and compare them to the (more familiar) logics based on least and greatest fixed points.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116886996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Satisfiability in alternating-time temporal logic 交替时间时间逻辑的可满足性
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 1900-01-01 DOI: 10.1109/LICS.2003.1210060
G. van Drimmelen
{"title":"Satisfiability in alternating-time temporal logic","authors":"G. van Drimmelen","doi":"10.1109/LICS.2003.1210060","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210060","url":null,"abstract":"Alternating-time temporal logic (ATL) is a branching-time temporal logic that naturally describes computations of multi-agent distributed systems and multi-player games. In particular, ATL explicitly allows for the expression of coalitional ability in such situations. We present an automata-based decision procedure for ATL, by translating the satisfiability problem for ATL to the nonemptiness problem for the alternating automata on infinite trees. The key result that enables this translation is a bounded-branching tree model theorem for ATL, proving that a satisfiable in a tree model of bounded branching degree. It follows that ATL is decidable in exponential time, which is also the optimal complexity: satisfiability in CTL, a fragment of ATL, is EXPTIME-complete. The paper thus answers a fundamental logical question about ATL and provides an example of how alternation in automata may elegantly express game-like transitions.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116990531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Proceedings 18th Annual IEEE Symposium on Logic in Computer Science 第18届IEEE计算机科学逻辑研讨会论文集
18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings. Pub Date : 1900-01-01 DOI: 10.1109/LICS.2003.1210038
{"title":"Proceedings 18th Annual IEEE Symposium on Logic in Computer Science","authors":"","doi":"10.1109/LICS.2003.1210038","DOIUrl":"https://doi.org/10.1109/LICS.2003.1210038","url":null,"abstract":"A cornerstone of the theory of proof nets for unit-free multiplicative linear logic (MLL) is the abstract representation of cut-free proofs modulo inessential commutations of rules. The only known extension to additives, based on monomial weights, fails to preserve this key feature: a host of cut-free monomial proof nets can correspond to the same cut-free proof. Thus the problem of finding a satisfactory notion of proof net for unit-free multiplicative-additive linear logic (MALL) has remained open since the inception of linear logic in 1986. We present a new definition of MALL proof net which remains faithful to the cornerstone of the MLL theory.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"323 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115771721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
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