{"title":"RACCOON: A Connection Reasoner for the Description Logic ALC","authors":"D. Filho, F. Freitas, J. Otten","doi":"10.29007/3xxd","DOIUrl":"https://doi.org/10.29007/3xxd","url":null,"abstract":"In this paper, we introduce RACCOON, a reasoner based on the connection calculus ALC θ-CM for the description logic ALC. We describe the calculus, and present details of RACCOON’s implementation. Currently, RACCOON carries out only consistency checks, and can be run online; its code is also publicly available. Besides, results of a comparison among RACCOON and other reasoners on the ORE 2014 and 2015 competition problems with ALC expressivity are shown and discussed.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114766791","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}
{"title":"Analyzing Runtime Complexity via Innermost Runtime Complexity","authors":"Florian Frohn, J. Giesl","doi":"10.29007/1nbh","DOIUrl":"https://doi.org/10.29007/1nbh","url":null,"abstract":"There exist powerful techniques to infer upper bounds on the innermost runtime complexity of term rewrite systems (TRSs), i.e., on the lengths of rewrite sequences that follow an innermost evaluation strategy. However, the techniques to analyze the (full) runtime complexity of TRSs are substantially weaker. In this paper, we present a sufficient criterion to ensure that the runtime complexity of a TRS coincides with its innermost runtime complexity. This criterion can easily be checked automatically and it allows us to use all techniques and tools for innermost runtime complexity in order to analyze (full) runtime complexity. By extensive experiments with an implementation of our results in the tool AProVE, we show that this improves the state of the art of automated complexity analysis significantly.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"34 10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134424832","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}
{"title":"Reasoning about Translation Lookaside Buffers","authors":"H. Syeda, G. Klein","doi":"10.29007/c2f1","DOIUrl":"https://doi.org/10.29007/c2f1","url":null,"abstract":"The main security mechanism for enforcing memory isolation in operating systems is provided by page tables. The hardware-implemented Translation Lookaside Buffer (TLB) caches these, and therefore the TLB and its consistency with memory are security critical for OS kernels, including formally verified kernels such as seL4. If performance is paramount, this consistency can be subtle to achieve; yet, all major formally verified kernels currently leave the TLB as an assumption. In this paper, we present a formal model of the Memory Management Unit (MMU) for the ARM architecture which includes the TLB, its maintenance operations, and its derived properties. We integrate this specification into the Cambridge ARM model. We derive sufficient conditions for TLB consistency, and we abstract away the functional details of the MMU for simpler reasoning about executions in the presence of cached address translation, including complete and partial walks.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117350757","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}
Temesghen Kahsai, Rody Kersten, Philipp Rümmer, Martin Schäf
{"title":"Quantified Heap Invariants for Object-Oriented Programs","authors":"Temesghen Kahsai, Rody Kersten, Philipp Rümmer, Martin Schäf","doi":"10.29007/zrct","DOIUrl":"https://doi.org/10.29007/zrct","url":null,"abstract":"Heap and data structures represent one of the biggest challenges when applying model checking to the analysis of software programs: in order to verify (unbounded) safety of a program, it is typically necessary to formulate quantified inductive invariants that state properties about an unbounded number of heap locations. Methods like Craig interpolation, which are commonly used to infer invariants in model checking, are often ineffective when a heap is involved. To address this challenge, we introduce a set of new proof and program transformation rules for verifying object-oriented programs with the help of space invariants, which (implicitly) give rise to quantified invariants. Leveraging advances in Horn solving, we show how space invariants can be derived fully automatically, and how the framework can be used to effectively verify safety of Java programs.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115697524","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}
{"title":"On the Interaction of Inclusion Dependencies with Independence Atoms","authors":"Miika Hannula, J. Kontinen, S. Link","doi":"10.29007/2pgn","DOIUrl":"https://doi.org/10.29007/2pgn","url":null,"abstract":"Inclusion dependencies are one of the most important database constraints. In isolation their finite and unrestricted implication problems coincide, are finitely axiomatizable, PSPACE-complete, and fixed-parameter tractable in their arity. In contrast, finite and unrestricted implication problems for the combined class of functional and inclusion dependencies deviate from one another and are each undecidable. The same holds true for the class of embedded multivalued dependencies. An important embedded tractable fragment of embedded multivalued dependencies are independence atoms. These stipulate independence between two attribute sets in the sense that for every two tuples there is a third tuple that agrees with the first tuple on the first attribute set and with the second tuple on the second attribute set. For independence atoms, their finite and unrestricted implication problems coincide, are finitely axiomatizable, and decidable in cubic time. In this article, we study the implication problems of the combined class of independence atoms and inclusion dependencies. We show that their finite and unrestricted implication problems coincide, are finitely axiomatizable, PSPACE-complete, and fixed-parameter tractable in their arity. Hence, significant expressivity is gained without sacrificing any of the desirable properties that inclusion dependencies have in isolation. Finally, we establish an efficient condition that is sufficient for independence atoms and inclusion dependencies not to interact. The condition ensures that we can apply known algorithms for deciding implication of the individual classes of independence atoms and inclusion dependencies, respectively, to decide implication for an input that combines both individual classes.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115698647","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}
{"title":"Cauliflower: a Solver Generator for Context-Free Language Reachability","authors":"N. Hollingum, Bernhard Scholz","doi":"10.29007/tbm7","DOIUrl":"https://doi.org/10.29007/tbm7","url":null,"abstract":"Context-free language reachability (CFL-R) is a fundamental solving vehicle for computing essential compiler optimisations and static program analyses. Unfortunately, solvers for CFL-R encounter both inherently expensive problem formulations and frequent alterations to the underlying formalism. As such, tool designers are forced to create customtailored implementations with long development times and limited reusability. A better framework is crucial to facilitate research and development in CFL-R. In this work we present Cauliflower, a CFL-R solver generator, that creates parallel executable C++ code from an input CFL-R rule-based specification. With Cauliflower, developers create working tools rapidly, avoiding lengthy and error-prone manual implementations. Cauliflower’s domain-specific language provides semantic extension including reversal, branching, disconnection and templating. In practical experiments, Cauliflower achieves an average speedup of 1.8x compared with the best general purpose tools, and matches the performance of application-specific tools on many benchmarks.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"2008 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127317591","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}
{"title":"Towards a Semantics of Unsatisfiability Proofs with Inprocessing","authors":"Tobias Philipp, Adrián Rebola-Pardo","doi":"10.29007/7jgq","DOIUrl":"https://doi.org/10.29007/7jgq","url":null,"abstract":"Delete Resolution Asymmetric Tautology (DRAT) proofs have become a de facto standard to certify unsatisfiability results from SAT solvers with inprocessing. However, DRAT shows behaviors notably different from other proof systems: DRAT inferences are nonmonotonic, and clauses that are not consequences of the premises can be derived. In this paper, we clarify some discrepancies on the notions of reverse unit propagation (RUP) clauses and asymmetric tautologies (AT), and furthermore develop the concept of resolution consequences. This allows us to present an intuitive explanation of RAT in terms of permissive definitions. We prove that a formula derived using RATs can be stratified into clause sets depending on which definitions they require, which give a strong invariant along RAT proofs. We furthermore study its interaction with clause deletion, characterizing DRAT derivability as satisfiability-preservation.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121572148","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}
Hamza Bourbouh, P. Garoche, C. Garion, A. Gurfinkel, Temesghen Kahsai, X. Thirioux
{"title":"Automated analysis of Stateflow models","authors":"Hamza Bourbouh, P. Garoche, C. Garion, A. Gurfinkel, Temesghen Kahsai, X. Thirioux","doi":"10.29007/b8gq","DOIUrl":"https://doi.org/10.29007/b8gq","url":null,"abstract":"Stateflow is a widely used modeling framework for embedded and cyberphysical systems where control software interacts with physical processes. In this work, we present a framework and a fully automated safety verification technique for Stateflow models. Our approach is two-folded: (i) we faithfully compile Stateflow models into hierarchical state machines, and (ii) we use automated logic-based verification engine to decide the validity of safety properties. The starting point of our approach is a denotational semantics of Stateflow. We propose a compilation process using continuation-passing style (CPS) denotational semantics. Our compilation technique preserves the structural and modal behavior of the system. The overall approach is implemented as an open source toolbox that can be integrated into the existing Mathworks Simulink/Stateflow modeling framework. We present preliminary experimental evaluations that illustrate the effectiveness of our approach in code generation and safety verification of industrial scale Stateflow models.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129902021","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}
{"title":"Coq without Type Casts: A Complete Proof of Coq Modulo Theory","authors":"J. Jouannaud, Pierre-Yves Strub","doi":"10.29007/bjpg","DOIUrl":"https://doi.org/10.29007/bjpg","url":null,"abstract":"Incorporating extensional equality into a dependent intensional type system such as the Calculus of Constructions provides with stronger type-checking capabilities and makes the proof development closer to intuition. Since strong forms of extensionality lead to undecidable type-checking, a good trade-off is to extend intensional equality with a decidable first-order theory T , as done in CoqMT , which uses matching modulo T for the weak and strong elimination rules, we call these rules T -elimination. So far, type-checking in CoqMT is known to be decidable in presence of a cumulative hierarchy of universes and weak T -elimination. Further, it has been shown by Wang with a formal proof in Coq that consistency is preserved in presence of weak and strong elimination rules, which actually implies consistency in presence of weak and strong T -elimination rules since T is already present in the conversion rule of the calculus. We justify here CoqMT ’s type-checking algorithm by showing strong normalization as well as the Church-Rosser property of β -reductions augmented with CoqMT ’s weak and strong T -elimination rules. This therefore concludes successfully the meta-theoretical study of CoqMT . to the referees for their careful reading.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"448 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124281467","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}
{"title":"Deep Proof Search in MELL","authors":"Ozan Kahramanoğulları","doi":"10.29007/p1fd","DOIUrl":"https://doi.org/10.29007/p1fd","url":null,"abstract":"The deep inference presentation of multiplicative exponential linear logic (MELL) benefits from a rich combinatoric analysis with many more proofs in comparison to its sequent calculus presentation. In the deep inference setting, all the sequent calculus proofs are preserved. Moreover, many other proofs become available, and some of these proofs are much shorter. However, proof search in deep inference is subject to a greater nondeterminism, and this nondeterminism constitutes a bottleneck for applications. To this end, we address the problem of reducing nondeterminism in MELL by refining and extending our technique that has been previously applied to multiplicative linear logic and classical logic. We show that, besides the nondeterminism in commutative contexts, the nondeterminism in exponential contexts can be reduced in a proof theoretically clean manner. The method conserves the exponential speed-up in proof construction due to deep inference, exemplified by Statman tautologies. We validate the improvement in accessing the shorter proofs by experiments with our implementations.","PeriodicalId":207621,"journal":{"name":"Logic Programming and Automated Reasoning","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117251185","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}
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