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93
An automatatheoretic approach to reasoning about infinitestate systems
 LNCS
, 2000
"... Abstract. We develop an automatatheoretic framework for reasoning about infinitestate sequential systems. Our framework is based on the observation that states of such systems, which carry a finite but unbounded amount of information, can be viewed as nodes in an infinite tree, and transitions betw ..."
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Cited by 33 (4 self)
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Abstract. We develop an automatatheoretic framework for reasoning about infinitestate sequential systems. Our framework is based on the observation that states of such systems, which carry a finite but unbounded amount of information, can be viewed as nodes in an infinite tree, and transitions between states can be simulated by finitestate automata. Checking that the system satisfies a temporal property can then be done by an alternating twoway tree automaton that navigates through the tree. As has been the case with finitestate systems, the automatatheoretic framework is quite versatile. We demonstrate it by solving several versions of the modelchecking problem for §calculus specifications and prefixrecognizable systems, and by solving the realizability and synthesis problems for §calculus specifications with respect to prefixrecognizable environments. 1
Modest theory of short chains
 II, this JOURNAL
, 1979
"... Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at. ..."
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Cited by 30 (4 self)
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Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at.
Algebras for Querying Text Regions: Expressive Power and Optimization
 Journal of Computer and System Sciences
, 1998
"... There is a significant amount of interest in combining and extending database and information retrieval technologies to manage textual data. The challenge is becoming more relevant due to increased availability of documents in digital form. Document data has a natural hierarchical structure, which m ..."
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Cited by 30 (0 self)
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There is a significant amount of interest in combining and extending database and information retrieval technologies to manage textual data. The challenge is becoming more relevant due to increased availability of documents in digital form. Document data has a natural hierarchical structure, which may be made explicit due to the use of markup conventions (as with SGML). An important aspect of managing structured and semistructured textual data consists of supporting the efficient retrieval of text components based both on their content and structure. In this paper we study issues related to the expressive power and optimization of a class of algebras that support combining string (or pattern) searches with queries on the hierarchical structure of the text. The region algebra studied is a setatatime algebra for manipulating text regions (substrings of the text) that supports finding out nesting and ordering properties of the text regions. This algebra is part of the language in us...
Open Systems in Reactive Environments: Control and Synthesis
, 2000
"... We study the problems of synthesizing open systems as well as controllers for open systems. We deal with specifications given as formulas of the branching temporal logic CTL ? and its sublogic CTL. A key aspect of our work is that we deal with reactive environments. These are environments that can ..."
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Cited by 27 (5 self)
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We study the problems of synthesizing open systems as well as controllers for open systems. We deal with specifications given as formulas of the branching temporal logic CTL ? and its sublogic CTL. A key aspect of our work is that we deal with reactive environments. These are environments that can disable some of their responses along the interaction with the system.
Logics for Real Time: Decidability and Complexity
 FUNDAMENTA INFORMATICAE
, 2004
"... Over the last fifteen years formalisms for reasoning about metric properties of computations were suggested and discussed. First as extensions of temporal logic, ignoring the framework of classical predicate logic, and then, with the authors' work, within the framework of monadic logic of order. ..."
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Cited by 25 (4 self)
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Over the last fifteen years formalisms for reasoning about metric properties of computations were suggested and discussed. First as extensions of temporal logic, ignoring the framework of classical predicate logic, and then, with the authors' work, within the framework of monadic logic of order. Here we survey our work on metric logic comparing it to the previous work in the field. We define
Monodic Packed Fragment With Equality is Decidable
 Studia Logica
, 2001
"... We prove decidability of satisfiability of sentences of the monodic packed fragment of firstorder temporal logic with equality and connectives Until and Since, in models with various flows of time and domains of arbitrary cardinality. We also prove decidability over models with finite domains, over ..."
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Cited by 20 (1 self)
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We prove decidability of satisfiability of sentences of the monodic packed fragment of firstorder temporal logic with equality and connectives Until and Since, in models with various flows of time and domains of arbitrary cardinality. We also prove decidability over models with finite domains, over flows of time including the real order.
Higher Order Logic
 In Handbook of Logic in Artificial Intelligence and Logic Programming
, 1994
"... Contents 1 Introduction : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2 2 The expressive power of second order Logic : : : : : : : : : : : 3 2.1 The language of second order logic : : : : : : : : : : : : : 3 2.2 Expressing size : : : : : : : : : : : : : : : : : : : : : : : : 4 2.3 Definin ..."
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Cited by 19 (0 self)
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Contents 1 Introduction : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2 2 The expressive power of second order Logic : : : : : : : : : : : 3 2.1 The language of second order logic : : : : : : : : : : : : : 3 2.2 Expressing size : : : : : : : : : : : : : : : : : : : : : : : : 4 2.3 Defining data types : : : : : : : : : : : : : : : : : : : : : 6 2.4 Describing processes : : : : : : : : : : : : : : : : : : : : : 8 2.5 Expressing convergence using second order validity : : : : : : : : : : : : : : : : : : : : : : : : : 9 2.6 Truth definitions: the analytical hierarchy : : : : : : : : 10 2.7 Inductive definitions : : : : : : : : : : : : : : : : : : : : : 13 3 Canonical semantics of higher order logic : : : : : : : : : : : : 15 3.1 Tarskian semantics of second order logic : : : : : : : : : 15 3.2 Function and re
On the Complexity of Branching Modular Model Checking (Extended Abstract)
, 1995
"... In modular verification the specification of a module consists of two parts. One part describes the guaranteed behavior of the module. The other part describes the assumed behavior of the system in which the module is interacting. This is called the assumeguarantee paradigm. In this paper we consid ..."
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Cited by 19 (9 self)
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In modular verification the specification of a module consists of two parts. One part describes the guaranteed behavior of the module. The other part describes the assumed behavior of the system in which the module is interacting. This is called the assumeguarantee paradigm. In this paper we consider assumeguarantee specifications in which the assumptions and the guarantees are specified by universal branching temporal formulas (i.e., all path quantifiers are universal). Verifying modules with respect to such specifications is called the branching modular modelchecking problem. We consider both ACTL and ACTL*, the universal fragments of CTL and CTL*. We develop two fundamental techniques: building max...
Pushdown Specifications
, 2002
"... Traditionally, model checking is applied to finitestate systems and regular specifications. While researchers have successfully extended the applicability of model checking to infinitestate systems, almost all existing work still consider regular specification formalisms. There are, however, ma ..."
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Cited by 18 (5 self)
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Traditionally, model checking is applied to finitestate systems and regular specifications. While researchers have successfully extended the applicability of model checking to infinitestate systems, almost all existing work still consider regular specification formalisms. There are, however, many interesting nonregular properties one would like to model check.