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46
Mobile ambients
, 1998
"... We introduce a calculus describing the movement of processes and devices, including ..."
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Cited by 923 (28 self)
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We introduce a calculus describing the movement of processes and devices, including
A new approach to abstract syntax with variable binding
 Formal Aspects of Computing
, 2002
"... Abstract. The permutation model of set theory with atoms (FMsets), devised by Fraenkel and Mostowski in the 1930s, supports notions of ‘nameabstraction ’ and ‘fresh name ’ that provide a new way to represent, compute with, and reason about the syntax of formal systems involving variablebinding op ..."
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Cited by 286 (64 self)
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Abstract. The permutation model of set theory with atoms (FMsets), devised by Fraenkel and Mostowski in the 1930s, supports notions of ‘nameabstraction ’ and ‘fresh name ’ that provide a new way to represent, compute with, and reason about the syntax of formal systems involving variablebinding operations. Inductively defined FMsets involving the nameabstraction set former (together with Cartesian product and disjoint union) can correctly encode syntax modulo renaming of bound variables. In this way, the standard theory of algebraic data types can be extended to encompass signatures involving binding operators. In particular, there is an associated notion of structural recursion for defining syntaxmanipulating functions (such as capture avoiding substitution, set of free variables, etc.) and a notion of proof by structural induction, both of which remain pleasingly close to informal practice in computer science. 1.
Nominal Logic: A First Order Theory of Names and Binding
 Information and Computation
, 2001
"... This paper formalises within firstorder logic some common practices in computer science to do with representing and reasoning about syntactical structures involving named bound variables (as opposed to nameless terms, explicit substitutions, or higher order abstract syntax). It introduces Nominal L ..."
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Cited by 218 (15 self)
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This paper formalises within firstorder logic some common practices in computer science to do with representing and reasoning about syntactical structures involving named bound variables (as opposed to nameless terms, explicit substitutions, or higher order abstract syntax). It introduces Nominal Logic, a version of firstorder manysorted logic with equality containing primitives for renaming via nameswapping and for freshness of names, from which a notion of binding can be derived. Its axioms express...
A Spatial Logic for Concurrency (Part I)
 Information and Computation
, 2002
"... We present a logic that can express properties of freshness, secrecy, structure, and behavior of concurrent systems. In addition to standard logical and temporal operators, our logic includes spatial operations corresponding to composition, local name restriction, and a primitive fresh name quantifi ..."
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Cited by 167 (13 self)
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We present a logic that can express properties of freshness, secrecy, structure, and behavior of concurrent systems. In addition to standard logical and temporal operators, our logic includes spatial operations corresponding to composition, local name restriction, and a primitive fresh name quantifier. Properties can also be defined by recursion
A Spatial Logic for Querying Graphs
 In Proc. of ICALP, volume 2380 of LNCS
, 2001
"... We study a spatial logic for reasoning about labelled directed graphs, and the application of this logic to provide a query language for analysing and manipulating such graphs. We give a graph description using constructs from process algebra. We introduce a spatial logic in order to reason loca ..."
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Cited by 67 (5 self)
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We study a spatial logic for reasoning about labelled directed graphs, and the application of this logic to provide a query language for analysing and manipulating such graphs. We give a graph description using constructs from process algebra. We introduce a spatial logic in order to reason locally about disjoint subgraphs. We extend our logic to provide a query language which preserves the multiset semantics of our graph model. Our approach contrasts with the more traditional setbased semantics found in query languages such as TQL, Strudel and GraphLog.
A Spatial Logic for Concurrency (Part II)
 IN CONCUR2002: CONCURRENCY THEORY (13TH INTERNATIONAL CONFERENCE), LECTURE NOTES IN COMPUTER SCIENCE
, 1998
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Deciding Validity in a Spatial Logic for Trees
 TLDI'03
, 2003
"... We consider a propositional spatial logic for finite trees. The logic includes (tree composition), (the implication induced by composition), and 0 (the unit of composition) . We show that the satisfaction and validity problems are equivalent, and decidable. The crux of the argument is devisi ..."
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Cited by 56 (5 self)
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We consider a propositional spatial logic for finite trees. The logic includes (tree composition), (the implication induced by composition), and 0 (the unit of composition) . We show that the satisfaction and validity problems are equivalent, and decidable. The crux of the argument is devising a finite enumeration of trees to consider when deciding whether a spatial implication is satisfied. We introduce a sequent calculus for the logic, and show it to be sound and complete with respect to an interpretation in terms of satisfaction. Finally, we describe a complete proof procedure for the sequent calculus. We envisage applications in the area of logicbased type systems for semistructured data. We describe a small programming language based on this idea.
The decidability of model checking mobile ambients
 In Proceedings of the 15th Annual Conference of the European Association for Computer Science Logic, volume 2142 of LNCS
, 2001
"... We settle the complexity bounds of the model checking problem for the ambient calculus with public names against the ambient logic. We show that if either the calculus contains replication or the logic contains the guarantee operator, the problem is undecidable. In the case of the replicationfree c ..."
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Cited by 43 (5 self)
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We settle the complexity bounds of the model checking problem for the ambient calculus with public names against the ambient logic. We show that if either the calculus contains replication or the logic contains the guarantee operator, the problem is undecidable. In the case of the replicationfree calculus and guaranteefree logic we prove that the problem is PSPACEcomplete. For the complexity upperbound, we devise a new representation of processes that remains of polynomial size during process execution; this allows us to keep the model checking procedure in polynomial space. Moreover, we prove PSPACEhardness of the problem for several quite simple fragments of the calculus and the logic; this suggests that there are no interesting fragments with polynomialtime model checking algorithms.
Modal logic as a basis for distributed computation
, 2003
"... Trustless Software Dissemination.” In this report, we give a computational interpretation of modal logic in which the modalities necessity (�A) and possibility (♦A) describe locality in a distributed computation. This interpretation is quite natural, given the usual “possible worlds ” semantics unde ..."
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Cited by 25 (3 self)
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Trustless Software Dissemination.” In this report, we give a computational interpretation of modal logic in which the modalities necessity (�A) and possibility (♦A) describe locality in a distributed computation. This interpretation is quite natural, given the usual “possible worlds ” semantics underlying modal logic. In our case, the worlds we consider are processes in a spatially distributed configuration. Necessity describes a term that is welltyped anywhere and possibility a term that is welltyped somewhere. Thus typing determines the permissible degree of mobility for terms, in some cases allowing us to create new processes or move terms between existing processes, and in others forbidding mobility. In addition to the purely logical motivations, we present some examples demonstrating how the calculus of modal logic proof terms can be used to write distributed, concurrent programs while preserving safe access to and manipulation of localized resources.
A Logic You Can Count On
 In POPL 2004 – 31st Annual ACM SIGPLANSIGACT Symposium on Principles of Programming Languages
, 2004
"... We prove the decidability of the quantifierfree, static fragment of ambient logic, with composition adjunct and iteration, which corresponds to a kind of regular expression language for semistructured data. The essence of this result is a surprising connection between formulas of the ambient logic ..."
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Cited by 21 (0 self)
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We prove the decidability of the quantifierfree, static fragment of ambient logic, with composition adjunct and iteration, which corresponds to a kind of regular expression language for semistructured data. The essence of this result is a surprising connection between formulas of the ambient logic and counting constraints on (nested) vectors of integers.