Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science最新文献

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On the Satisfiability of Context-free String Constraints with Subword-Ordering 具有子词排序的上下文无关字符串约束的可满足性
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-08-02 DOI: 10.1145/3531130.3533329
C. Aiswarya, Soumodev Mal, Prakash Saivasan
{"title":"On the Satisfiability of Context-free String Constraints with Subword-Ordering","authors":"C. Aiswarya, Soumodev Mal, Prakash Saivasan","doi":"10.1145/3531130.3533329","DOIUrl":"https://doi.org/10.1145/3531130.3533329","url":null,"abstract":"We consider a variant of string constraints given by membership constraints in context-free languages and subword relation between variables. The satisfiability problem for this variant turns out to be undecidable. We consider a fragment in which the subword-order constraints do not impose any cyclic dependency between variables. We show that this fragment is NexpTime-complete. As an application of our result, we settle the complexity of control state reachability in acyclic lossy channel pushdown systems, an important distributed system model. The problem was shown to be decidable in [8]. However, no elementary upper bound was known. We show that this problem is NexpTime-complete.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127154214","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: 1
Concrete categories and higher-order recursion: With applications including probability, differentiability, and full abstraction 具体范畴和高阶递归:应用包括概率、可微性和完全抽象
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-31 DOI: 10.1145/3531130.3533370
C. Matache, Sean K. Moss, S. Staton
{"title":"Concrete categories and higher-order recursion: With applications including probability, differentiability, and full abstraction","authors":"C. Matache, Sean K. Moss, S. Staton","doi":"10.1145/3531130.3533370","DOIUrl":"https://doi.org/10.1145/3531130.3533370","url":null,"abstract":"We study concrete sheaf models for a call-by-value higher-order language with recursion. Our family of sheaf models is a generalization of many examples from the literature, such as models for probabilistic and differentiable programming, and fully abstract logical relations models. We treat recursion in the spirit of synthetic domain theory. We provide a general construction of a lifting monad starting from a class of admissible monomorphisms in the site of the sheaf category. In this way, we obtain a family of models parametrized by a concrete site and a class of monomorphisms, for which we prove a general computational adequacy theorem.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122514947","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: 3
Deciding Hyperproperties Combined with Functional Specifications 结合功能规范决定超属性
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-30 DOI: 10.1145/3531130.3533369
Raven Beutner, David Carral, B. Finkbeiner, Jana Hofmann, M. Krötzsch
{"title":"Deciding Hyperproperties Combined with Functional Specifications","authors":"Raven Beutner, David Carral, B. Finkbeiner, Jana Hofmann, M. Krötzsch","doi":"10.1145/3531130.3533369","DOIUrl":"https://doi.org/10.1145/3531130.3533369","url":null,"abstract":"We study satisfiability for HyperLTL with a ∀*∃* quantifier prefix, known to be highly undecidable in general. HyperLTL can express system properties that relate multiple traces (so-called hyperproperties), which are often combined with trace properties that specify functional behavior on single traces. Following this conceptual split, we first define several safety and liveness fragments of ∀*∃* HyperLTL, and characterize the complexity of their (often much easier) satisfiability problem. We then add LTL trace properties as functional specifications. Though (highly) undecidable in many cases, this way of combining “simple” HyperLTL and arbitrary LTL also leads to interesting new decidable fragments. This systematic study of ∀*∃* fragments is complemented by a new (incomplete) algorithm for ∀∃*-HyperLTL satisfiability.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132762606","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: 8
Exponentials as Substitutions and the Cost of Cut Elimination in Linear Logic 线性逻辑中的指数替代与切消代价
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-30 DOI: 10.1145/3531130.3532445
Beniamino Accattoli
{"title":"Exponentials as Substitutions and the Cost of Cut Elimination in Linear Logic","authors":"Beniamino Accattoli","doi":"10.1145/3531130.3532445","DOIUrl":"https://doi.org/10.1145/3531130.3532445","url":null,"abstract":"This paper introduces the exponential substitution calculus (ESC), a new presentation of cut elimination for IMELL, based on proof terms and building on the idea that exponentials can be seen as explicit substitutions. The idea in itself is not new, but here it is pushed to a new level, inspired by Accattoli and Kesner’s linear substitution calculus (LSC). One of the key properties of the LSC is that it naturally models the sub-term property of abstract machines, which is the key ingredient for the study of reasonable time cost models for the λ-calculus. The new ESC is then used to design a cut elimination strategy with the sub-term property, providing the first polynomial cost model for cut elimination with unconstrained exponentials. For the ESC, we also prove untyped confluence and typed strong normalization, showing that it is an alternative to proof nets for an advanced study of cut elimination.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122341155","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: 3
Choiceless Polynomial Time with Witnessed Symmetric Choice 具有见证对称选择的无选择多项式时间
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-27 DOI: 10.1145/3531130.3533348
Moritz Lichter, Pascal Schweitzer
{"title":"Choiceless Polynomial Time with Witnessed Symmetric Choice","authors":"Moritz Lichter, Pascal Schweitzer","doi":"10.1145/3531130.3533348","DOIUrl":"https://doi.org/10.1145/3531130.3533348","url":null,"abstract":"We extend Choiceless Polynomial Time (CPT), the currently only remaining promising candidate in the quest for a logic capturing Ptime, so that this extended logic has the following property: for every class of structures for which isomorphism is definable, the logic automatically captures Ptime. For the construction of this logic we extend CPT by a witnessed symmetric choice operator. This operator allows for choices from definable orbits. But, to ensure polynomial time evaluation, automorphisms have to be provided to certify that the choice set is indeed an orbit. We argue that, in this logic, definable isomorphism implies definable canonization. Thereby, we remove the non-trivial step of extending isomorphism definability results to canonization. This step was a part of proofs that show that CPT or other logics capture Ptime on a particular class of structures. The step typically required substantial extra effort.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116348608","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: 2
The boundedness and zero isolation problems for weighted automata over nonnegative rationals 非负有理数上加权自动机的有界性和零隔离问题
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-26 DOI: 10.1145/3531130.3533336
Wojciech Czerwi'nski, Engel Lefaucheux, Filip Mazowiecki, David Purser, Markus A. Whiteland
{"title":"The boundedness and zero isolation problems for weighted automata over nonnegative rationals","authors":"Wojciech Czerwi'nski, Engel Lefaucheux, Filip Mazowiecki, David Purser, Markus A. Whiteland","doi":"10.1145/3531130.3533336","DOIUrl":"https://doi.org/10.1145/3531130.3533336","url":null,"abstract":"We consider linear cost-register automata (equivalent to weighted automata) over the semiring of nonnegative rationals, which generalise probabilistic automata. The two problems of boundedness and zero isolation ask whether there is a sequence of words that converge to infinity and to zero, respectively. In the general model both problems are undecidable so we focus on the copyless linear restriction. There, we show that the boundedness problem is decidable. As for the zero isolation problem we need to further restrict the class. We obtain a model, where zero isolation becomes equivalent to universal coverability of orthant vector addition systems (OVAS), a new model in the VAS family interesting on its own. In standard VAS runs are considered only in the positive orthant, while in OVAS every orthant has its own set of vectors that can be applied in that orthant. Assuming Schanuel’s conjecture is true, we prove decidability of universal coverability for three-dimensional OVAS, which implies decidability of zero isolation in a model with at most three independent registers.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"1064 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133842936","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: 2
Ramsey Quantifiers over Automatic Structures: Complexity and Applications to Verification 拉姆齐量词对自动结构的影响:复杂性及其在验证中的应用
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-18 DOI: 10.1145/3531130.3533346
Pascal Bergsträßer, Moses Ganardi, A. Lin, Georg Zetzsche
{"title":"Ramsey Quantifiers over Automatic Structures: Complexity and Applications to Verification","authors":"Pascal Bergsträßer, Moses Ganardi, A. Lin, Georg Zetzsche","doi":"10.1145/3531130.3533346","DOIUrl":"https://doi.org/10.1145/3531130.3533346","url":null,"abstract":"Automatic structures are infinite structures that are finitely represented by synchronized finite-state automata. This paper concerns specifically automatic structures over finite words and trees (ranked/unranked). We investigate the “directed version” of Ramsey quantifiers, which express the existence of an infinite directed clique. This subsumes the standard “undirected version” of Ramsey quantifiers. Interesting connections between Ramsey quantifiers and two problems in verification are firstly observed: (1) reachability with Büchi and generalized Büchi conditions in regular model checking can be seen as Ramsey quantification over transitive automatic graphs (i.e., whose edge relations are transitive), (2) checking monadic decomposability (a.k.a. recognizability) of automatic relations can be viewed as Ramsey quantification over co-transitive automatic graphs (i.e., the complements of whose edge relations are transitive). We provide a comprehensive complexity landscape of Ramsey quantifiers in these three cases (general, transitive, co-transitive), all between NL and EXP. In turn, this yields a wealth of new results with precise complexity, e.g., verification of subtree/flat prefix rewriting, as well as monadic decomposability over tree-automatic relations. We also obtain substantially simpler proofs, e.g., for NL complexity for monadic decomposability over word-automatic relations (given by DFAs).","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125473985","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: 2
Zigzag normalisation for associative n-categories 关联n类的之字形规格化
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-18 DOI: 10.1145/3531130.3533352
Lukas Heidemann, David J. Reutter, J. Vicary
{"title":"Zigzag normalisation for associative n-categories","authors":"Lukas Heidemann, David J. Reutter, J. Vicary","doi":"10.1145/3531130.3533352","DOIUrl":"https://doi.org/10.1145/3531130.3533352","url":null,"abstract":"The theory of associative n-categories has recently been proposed as a strictly associative and unital approach to higher category theory. As a foundation for a proof assistant, this is potentially attractive, since it has the potential to allow simple formal proofs of complex high-dimensional algebraic phenomena. However, the theory relies on an implicit term normalisation procedure to recognize correct composites, with no recursive method available for computing it. Here we describe a new approach to term normalisation in associative n-categories, based on the categorical zigzag construction. This radically simplifies the theory, and yields a recursive algorithm for normalisation, which we prove is correct. Our use of categorical lifting properties allows us to give efficient proofs of our results. Our normalisation algorithm forms a core component of the proof assistant homotopy.io, and we illustrate our scheme with worked examples.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126538560","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: 4
Characterizing Positionality in Games of Infinite Duration over Infinite Graphs 无限图上无限持续博弈的位置性特征
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-05-09 DOI: 10.1145/3531130.3532418
Pierre Ohlmann
{"title":"Characterizing Positionality in Games of Infinite Duration over Infinite Graphs","authors":"Pierre Ohlmann","doi":"10.1145/3531130.3532418","DOIUrl":"https://doi.org/10.1145/3531130.3532418","url":null,"abstract":"We study turn-based quantitative games of infinite duration opposing two antagonistic players and played over graphs. This model is widely accepted as providing the adequate framework for formalizing the synthesis question for reactive systems. This important application motivates the question of strategy complexity: which valuations (or payoff functions) admit optimal positional strategies (without memory)? Valuations for which both players have optimal positional strategies have been characterized by Gimbert and Zielonka [16] for finite graphs and by Colcombet and Niwiński [12] for infinite graphs. However, for reactive synthesis, existence of optimal positional strategies for the opponent (which models an antagonistic environment) is irrelevant. Despite this fact, not much is known about valuations for which the protagonist admits optimal positional strategies, regardless of the opponent. In this work, we characterize valuations which admit such strategies over infinite graphs. Our characterization uses the vocabulary of universal graphs, which has also proved useful in understanding recent breakthrough results regarding the complexity of parity games. More precisely, we show that a valuation admitting universal graphs which are monotonic and well-ordered is positional over all game graphs, and – more surprisingly – that the converse is also true for valuations admitting neutral colors. We prove the applicability and elegance of the framework by unifying a number of known positionality results, proving a few stronger ones, and establishing closure under lexicographical products.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121122142","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
Linear-Algebraic Models of Linear Logic as Categories of Modules over Σ-Semirings✱ 线性逻辑作为模的范畴的线性代数模型Σ-Semirings:译者
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science Pub Date : 2022-04-22 DOI: 10.1145/3531130.3533373
Takeshi Tsukada, Kazuyuki Asada
{"title":"Linear-Algebraic Models of Linear Logic as Categories of Modules over Σ-Semirings✱","authors":"Takeshi Tsukada, Kazuyuki Asada","doi":"10.1145/3531130.3533373","DOIUrl":"https://doi.org/10.1145/3531130.3533373","url":null,"abstract":"A number of models of linear logic are based on or closely related to linear algebra, in the sense that morphisms are “matrices” over appropriate coefficient sets. Examples include models based on coherence spaces, finiteness spaces and probabilistic coherence spaces, as well as the relational and weighted relational models. This paper introduces a unified framework based on module theory, making the linear algebraic aspect of the above models more explicit. Specifically we consider modules over Σ-semirings R, which are ring-like structures with partially-defined countable sums, and show that morphisms in the above models are actually R-linear maps in the standard algebraic sense for appropriate R. An advantage of our algebraic treatment is that the category of R-modules is locally presentable, from which it easily follows that this category becomes a model of intuitionistic linear logic with the cofree exponential. We then discuss constructions of classical models and show that the above-mentioned models are examples of our constructions.","PeriodicalId":373589,"journal":{"name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129706706","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: 2
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