58 research outputs found
Partially Ordered Two-way B\"uchi Automata
We introduce partially ordered two-way B\"uchi automata and characterize
their expressive power in terms of fragments of first-order logic FO[<].
Partially ordered two-way B\"uchi automata are B\"uchi automata which can
change the direction in which the input is processed with the constraint that
whenever a state is left, it is never re-entered again. Nondeterministic
partially ordered two-way B\"uchi automata coincide with the first-order
fragment Sigma2. Our main contribution is that deterministic partially ordered
two-way B\"uchi automata are expressively complete for the first-order fragment
Delta2. As an intermediate step, we show that deterministic partially ordered
two-way B\"uchi automata are effectively closed under Boolean operations.
A small model property yields coNP-completeness of the emptiness problem and
the inclusion problem for deterministic partially ordered two-way B\"uchi
automata.Comment: The results of this paper were presented at CIAA 2010; University of
Stuttgart, Computer Scienc
Sciduction: Combining Induction, Deduction, and Structure for Verification and Synthesis
Even with impressive advances in automated formal methods, certain problems
in system verification and synthesis remain challenging. Examples include the
verification of quantitative properties of software involving constraints on
timing and energy consumption, and the automatic synthesis of systems from
specifications. The major challenges include environment modeling,
incompleteness in specifications, and the complexity of underlying decision
problems.
This position paper proposes sciduction, an approach to tackle these
challenges by integrating inductive inference, deductive reasoning, and
structure hypotheses. Deductive reasoning, which leads from general rules or
concepts to conclusions about specific problem instances, includes techniques
such as logical inference and constraint solving. Inductive inference, which
generalizes from specific instances to yield a concept, includes algorithmic
learning from examples. Structure hypotheses are used to define the class of
artifacts, such as invariants or program fragments, generated during
verification or synthesis. Sciduction constrains inductive and deductive
reasoning using structure hypotheses, and actively combines inductive and
deductive reasoning: for instance, deductive techniques generate examples for
learning, and inductive reasoning is used to guide the deductive engines.
We illustrate this approach with three applications: (i) timing analysis of
software; (ii) synthesis of loop-free programs, and (iii) controller synthesis
for hybrid systems. Some future applications are also discussed
A Formal Framework For Multi-Party Business Protocols (Revision of CentER DP 2008-79)
Enterprise-class information systems based on the principles of Service Oriented Architecture comprise large numbers of long-running, highly dynamic complex end-to-end service interactions, called conversations, based on message exchanges that typically transcend several organizations and span several geographical locations. Conversations in service-based systems can be described using business protocols that are formal notations specifying the timed message exchanges among participants in a conversation from a local point of view (orchestrations) or global (choreographies). In this work we introduce a formal framework based on Deterministic Finite Automata enriched with temporal constraints to describe multi-party business protocols. We also explore the notion of multi-party business protocol soundness and show how it is possible to execute a multi-party protocol consistently in a completely distributed manner and at the same time ensure the progression of the execution (i.e. no ādeadlocksā).service oriented architecture;message exchange patterns business protocols;orchestrations;choreographies;soundness
CTL Model Update for System Modifications
Model checking is a promising technology, which has been applied for
verification of many hardware and software systems. In this paper, we introduce
the concept of model update towards the development of an automatic system
modification tool that extends model checking functions. We define primitive
update operations on the models of Computation Tree Logic (CTL) and formalize
the principle of minimal change for CTL model update. These primitive update
operations, together with the underlying minimal change principle, serve as the
foundation for CTL model update. Essential semantic and computational
characterizations are provided for our CTL model update approach. We then
describe a formal algorithm that implements this approach. We also illustrate
two case studies of CTL model updates for the well-known microwave oven example
and the Andrew File System 1, from which we further propose a method to
optimize the update results in complex system modifications
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
Computer Aided Verification
This open access two-volume set LNCS 13371 and 13372 constitutes the refereed proceedings of the 34rd International Conference on Computer Aided Verification, CAV 2022, which was held in Haifa, Israel, in August 2022. The 40 full papers presented together with 9 tool papers and 2 case studies were carefully reviewed and selected from 209 submissions. The papers were organized in the following topical sections: Part I: Invited papers; formal methods for probabilistic programs; formal methods for neural networks; software Verification and model checking; hyperproperties and security; formal methods for hardware, cyber-physical, and hybrid systems. Part II: Probabilistic techniques; automata and logic; deductive verification and decision procedures; machine learning; synthesis and concurrency. This is an open access book
- ā¦