Results 1  10
of
62
Focusing the inverse method for linear logic
 Proceedings of CSL 2005
, 2005
"... 1.1 Quantification and the subformula property.................. 3 1.2 Ground forward sequent calculus......................... 5 1.3 Lifting to free variables............................... 10 ..."
Abstract

Cited by 38 (11 self)
 Add to MetaCart
1.1 Quantification and the subformula property.................. 3 1.2 Ground forward sequent calculus......................... 5 1.3 Lifting to free variables............................... 10
Gates accept concurrent behavior
 In Proc. 34th Ann. IEEE Symp. on Foundations of Comp. Sci
, 1993
"... We represent concurrent processes as Boolean propositions or gates, cast in the role of acceptors of concurrent behavior. This properly extends other mainstream representations of concurrent behavior such as event structures, yet is defined more simply. It admits an intrinsic notion of duality that ..."
Abstract

Cited by 32 (16 self)
 Add to MetaCart
We represent concurrent processes as Boolean propositions or gates, cast in the role of acceptors of concurrent behavior. This properly extends other mainstream representations of concurrent behavior such as event structures, yet is defined more simply. It admits an intrinsic notion of duality that permits processes to be viewed as either schedules or automata. Its algebraic structure is essentially that of linear logic, with its morphisms being consequencepreserving renamings of propositions, and with its operations forming the core of a natural concurrent programming language. 1
Parameterized Verification of Multithreaded Software Libraries
 In TACAS 01: Tools and Algorithms for Construction and Analysis of Systems, LNCS 2031
, 2001
"... The growing popularity of multithreading has led to a great number of software libraries that support access by multiple threads. We present Local/Global Finite State Machines (LGFSMs) as a model for a certain class of multithreaded libraries. We have developed a tool called Beacon that does parame ..."
Abstract

Cited by 25 (5 self)
 Add to MetaCart
The growing popularity of multithreading has led to a great number of software libraries that support access by multiple threads. We present Local/Global Finite State Machines (LGFSMs) as a model for a certain class of multithreaded libraries. We have developed a tool called Beacon that does parameterized model checking of LGFSMs. We demonstrate the expressiveness of LGFSMs as models, and the effectiveness of Beacon as a model checking tool by (1) modeling a multithreaded memory manager Rockall developed at Microsoft Research as an LGFSM, and (2) using Beacon to check a critical safety property of Rockall.
Bigraphical Reactive Systems: Basic Theory
 PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF MATHEMATICIANS
, 2001
"... A notion of bigraph is proposed as the basis for a model of mobile interaction. A bigraph consists of two independent structures: a topograph representing locality and a monograph representing connectivity. Bigraphs are equipped with reaction rules to form bigraphical reactive systems (BRSs), which ..."
Abstract

Cited by 25 (6 self)
 Add to MetaCart
A notion of bigraph is proposed as the basis for a model of mobile interaction. A bigraph consists of two independent structures: a topograph representing locality and a monograph representing connectivity. Bigraphs are equipped with reaction rules to form bigraphical reactive systems (BRSs), which include versions of the calculus and the ambient calculus. Bigraphs are shown to be a special case of a more abstract notion, wide reactive systems (WRSs), not assuming any particular graphical or other structure but equipped with a notion of width, which expresses that agents, contexts and reactions may all be widely distributed entities. A behavioural theory is established for WRSs using the categorical notion of relative pushout; it allows labelled transition systems to be derived uniformly, in such a way that familiar behavioural preorders and equivalences, in particular bisimilarity, are congruential under certain conditions. Then the theory of bigraphs is developed, and they are shown to meet these conditions. It is shown that, using certain functors, other WRSs which meet the conditions may also be derived; these may, for example, be forms of BRS with additional structure. Simple examples of bigraphical systems are discussed; the theory is developed in a number of ways in preparation for deeper application studies.
Chu spaces and their interpretation as concurrent objects
, 2005
"... A Chu space is a binary relation =  from a set A to an antiset X defined as a set which transforms via converse functions. Chu spaces admit a great many interpretations by virtue of realizing all small concrete categories and most large ones arising in mathematical and computational practice. Of pa ..."
Abstract

Cited by 21 (0 self)
 Add to MetaCart
A Chu space is a binary relation =  from a set A to an antiset X defined as a set which transforms via converse functions. Chu spaces admit a great many interpretations by virtue of realizing all small concrete categories and most large ones arising in mathematical and computational practice. Of particular interest for computer science is their interpretation as computational processes, which takes A to be a schedule of events distributed in time, X to be an automaton of states forming an information system in the sense of Scott, and the pairs (a, x) in the =  relation to be the individual transcriptions of the making of history. The traditional homogeneous binary relations of transition on X and precedence on A are recovered as respectively the right and left residuals of the heterogeneous binary relation =  with itself. The natural algebra of Chu spaces is that of linear logic, made a process algebra by the process interpretation.
The Duality of Time and Information
 In Proc. of CONCUR'92, LNCS 630
, 1992
"... The states of a computing system bear information and change time, while its events bear time and change information. We develop a primitive algebraic model of this duality of time and information for rigid local computation, or straightline code, in the absence of choice and concurrency, where time ..."
Abstract

Cited by 17 (7 self)
 Add to MetaCart
The states of a computing system bear information and change time, while its events bear time and change information. We develop a primitive algebraic model of this duality of time and information for rigid local computation, or straightline code, in the absence of choice and concurrency, where time and information are linearly ordered. This shows the duality of computation to be more fundamental than the logic of computation for which choice is disjunction and concurrency conjunction. To accommodate flexible distributed computing systems we then bring in choice and concurrency and pass to partially ordered time and information, the formal basis for this extension being BirkhoffStone duality. A degree of freedom in how this is done permits a perfectly symmetric logic of computation amounting to Girard's full linear logic, which we view as the natural logic of computation when equal importance is attached to choice and concurrency. We conclude with an assessment of the prospects for ex...
Higher Dimensional Automata Revisited
 MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE
, 2000
"... ..."
Concurrent Logic/Constraint Programming: The Next 10 Years
, 1999
"... Concurrent logic/constraint programming is a simple and elegant formalism of concurrency that can potentially address a lot of important future applications including parallel, distributed, and intelligent systems. Its basic concept has been extremely stable and has allowed e#cient implementatio ..."
Abstract

Cited by 11 (7 self)
 Add to MetaCart
Concurrent logic/constraint programming is a simple and elegant formalism of concurrency that can potentially address a lot of important future applications including parallel, distributed, and intelligent systems. Its basic concept has been extremely stable and has allowed e#cient implementations. However, its uniqueness makes this paradigm rather di#cult to appreciate. Many people consider concurrent logic/constraint programming to have rather little to do with the rest of logic programming. There is certainly a fundamental di#erence in the view of computation, but careful study of the di#erences will lead to the understanding and the enhancing of the whole logic programming paradigm by an analytic approach. As a model of concurrency, concurrent logic/constraint programming has its own challenges to share with other formalisms of concurrency as well. They are: (1) a counterpart of #calculus in the field of concurrency, (2) a common platform for various nonsequential forms of computing, and (3) type systems that cover both logical and physical aspects of computation.
Relating StateBased and ProcessBased Concurrency through Linear Logic
, 2006
"... This paper has the purpose of reviewing some of the established relationships between logic and concurrency, and of exploring new ones. Concurrent and distributed systems are notoriously hard to get right. Therefore, following an approach that has proved highly beneficial for sequential programs, mu ..."
Abstract

Cited by 11 (1 self)
 Add to MetaCart
This paper has the purpose of reviewing some of the established relationships between logic and concurrency, and of exploring new ones. Concurrent and distributed systems are notoriously hard to get right. Therefore, following an approach that has proved highly beneficial for sequential programs, much effort has been invested in tracing the foundations of concurrency in logic. The starting points of such investigations have been various idealized languages of concurrent and distributed programming, in particular the wellestablished statetransformation model inspired to Petri nets and multiset rewriting, and the prolific processbased models such as the πcalculus and other process algebras. In nearly all cases, the target of these investigations has been linear logic, a formal language that supports a view of formulas as consumable resources. In the first part of this paper, we review some of these interpretations of concurrent languages into linear logic. In the second part of the paper, we propose a completely new approach to understanding concurrent and distributed programming as a manifestation of logic, which yields a language that merges those two main paradigms of concurrency. Specifically, we present a new semantics for multiset rewriting founded on an alternative view of linear logic. The resulting interpretation is extended with a majority of linear connectives into the language of ωmultisets. This interpretation drops the distinction between multiset elements and rewrite rules, and considerably enriches the expressive power of standard multiset rewriting with embedded rules, choice, replication, and more. Derivations are now primarily viewed as open objects, and are closed only to examine intermediate rewriting states. The resulting language can also be interpreted as a process algebra. For example, a simple translation maps process constructors of the asynchronous πcalculus to rewrite operators, while the structural equivalence corresponds directly to logicallymotivated structural properties of ωmultisets (with one exception).