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Process Algebra in PVS [chapter]

Twan Basten, Jozef Hooman
1999 Lecture Notes in Computer Science  
The aim of this work is to investigate mechanical support for process algebra, both for concrete applications and theoretical properties.  ...  Two approaches are presented using the verification system PVS. One approach declares process terms as an uninterpreted type and specifies equality on terms by axioms.  ...  Concluding remarks can be found in Section 5. Modeling Process Algebra in PVS We discuss two approaches to defining process algebra in PVS.  ... 
doi:10.1007/3-540-49059-0_19 fatcat:pechb46pjzhutl3idkym2bco4i

A Multi-agent System for Cross-Organizational Workflows Management Based on Process-View [chapter]

Ping Jiang, Xinyu Shao, Liang Gao, Zhenfeng Yang
2007 Lecture Notes in Computer Science  
Within this multi-agent system, a Petri net algebra model and a character string mapping algorithm are proposed to automate the mapping from a Petri net workflow model to a process-view workflow model;  ...  Process-view provides a promising way to crossorganizational workflows design.  ...  (d); (5) Process L` by character string mapping algorithm, the PN algebra model L`` of the PV workflow model can be obtained described in Fig. 2.  ... 
doi:10.1007/978-3-540-72588-6_37 fatcat:edwm6ix4hbhztoumbbbvzfrrce

Mixed formal specifications with PVS

M. Allemand, J.-C. Royer
2002 Proceedings 16th International Parallel and Distributed Processing Symposium  
GAT is a mixed formalism based on Symbolic Transition Systems (STSs) and algebraic specifications of partial abstract data types. This paper presents how to translate a GAT into PVS.  ...  Formal specification of mixed systems is one of the main issues in software engineering. However several difficulties remain.  ...  As in process algebra, we distinguish two kinds of GAT components: sequential components and concurrent components.  ... 
doi:10.1109/ipdps.2002.1016615 dblp:conf/ipps/AllemandR02 fatcat:hrq4nsai55cgdfb7k6rljziizq

Design, Operation, Control, and Economics of a Photovoltaic/Fuel Cell/Battery Hybrid Renewable Energy System for Automotive Applications

Zachary Whiteman, Piyush Bubna, Ajay Prasad, Babatunde Ogunnaike
2015 Processes  
bus lifetime) in Newark, DE, OPEN ACCESS Processes 2015, 3 453 establishing the economic viability of the proposed addition of a PV array to the existing University of Delaware fuel cell/battery bus.  ...  operating objectives-meeting the total power demand of the bus and maintaining the desired state of charge (SOC) of the NiCd battery-are achieved with appropriately designed controllers: a logic-based "algebraic  ...  Acknowledgments We are grateful to Doug Brunner for assistance in acquiring data from the fuel cell/battery bus currently operating at the University of Delaware, and to Jingliang Zhang for his assistance  ... 
doi:10.3390/pr3020452 fatcat:zvmw7ldgqfht5pfi7jtyestteq

PVS Embedding of cCSP Semantic Models and Their Relationship

Shamim H. Ripon, Michael J. Butler
2009 Electronical Notes in Theoretical Computer Science  
The cCSP process algebra terms are defined in PVS by using mutually recursive datatype. The trace and the operational semantics of the algebra are embedded in PVS.  ...  This paper demonstrates an embedding of the semantic models of the cCSP process algebra in the general purpose theorem prover PVS. cCSP is a language designed to model long-running business transactions  ...  We have embedded the semantic models in PVS by using its existing logics and theories.  ... 
doi:10.1016/j.entcs.2009.08.020 fatcat:l6klx2exevgzhdf6ulsgyhsgjm

Page 251 of Journal of the Washington Academy of Sciences Vol. 39, Issue 8 [page]

1949 Journal of the Washington Academy of Sciences  
q is the algebraic net amount of heat energy, w is the algebraic net amount of “PV” work energy, and u is the algebraic net amount of all other kinds of energy, pass- ing into the system.  ...  That is to say, whenever any process occurs, the sum of all the changes in energy, taken over all the systems par- ticipating in the process, is zero: SdE =O. (6) In equation 6, E represents the energy  ... 

Hidden verification for computational mathematics

Hanne Gottliebsen, Tom Kelsey, Ursula Martin
2005 Journal of symbolic computation  
We have implemented in PVS a library of facts about elementary and transcendental functions, and automatic procedures to attempt proofs of continuity, convergence and differentiability for functions in  ...  Hence we are able to support the analysis of differential equations in Maple by direct calls to PVS for: result refinement and verification, discharge of verification conditions, harnesses to ensure more  ...  We thank Mike Dewar of NAG Ltd for his interest and suggestions, James Davenport, Manuel Bronstein for advice on computer algebra, and the members of the PVS mailing list for many swift answers.  ... 
doi:10.1016/j.jsc.2004.12.005 fatcat:lqoooacsufcvnbx5jgsdkk35ke

Complete Models of Transmission-connected Photovoltaic Plant Using Modularity Principle for Power System Small Signal Stability Study

Yichen Zhou, Yonggang Li, Jiaomin Liu
2017 IEEJ Journal of Industry Applications  
Finally, applications of the provided models in the power system small signal stability study are presented, where the characteristics of the PV plant can be closely simulated.  ...  An overall structure using the modularity principle to model the PV plant is provided. Then each module is described, which is followed by the algorithm that how all modules work in conjunction.  ...  As for the PV power generation process, there are two possible circuits, namely the one-stage PV plant and the two-stage PV plant shown in Fig. 1 .  ... 
doi:10.1541/ieejjia.6.435 fatcat:q34kgs7hb5d5xj4fqg7efoabve

Formalizing cCSP Synchronous Semantics in PVS [article]

Shamim H. Ripon, Michael Butler
2010 arXiv   pre-print
We show how to embed process algebra terms and semantics into PVS and to use these embeddings to prove the semantic relationship.  ...  Synchronization was missing from the earlier semantic definitions which is an important feature for any process algebra.  ...  In that respect, a closely related research on the tool support for a process algebra shown in [23] , where a CSP-like algebra, called DI-Algebra [24] is formalized in HOL.  ... 
arXiv:1001.3464v1 fatcat:cjhsk53vujak5gefslx3ap5uh4

Lifted Relational Algebra with Recursion and Connections to Modal Logic [article]

Eugenia Ternovska
2016 arXiv   pre-print
We observe the presence of information propagation in several formalisms for efficient reasoning and use it to express unary negation and operations used in graph databases.  ...  The essence of our proposal is to lift Codd's relational algebra from operations on relational tables to operations on classes of structures (with recursion), and to add a direction of information propagation  ...  Suppose we are given, on the input, a formula φ in the "flat" algebra, pV, vq, A andĒ.  ... 
arXiv:1612.09251v1 fatcat:ulstwcfr35c3nlqinxykjptnii

Algebraic Structures on Typed Decorated Rooted Trees

Loïc Foissy, Univ. Littoral Cô, te d'Opale, France
2021 Symmetry, Integrability and Geometry: Methods and Applications  
We also define families of morphisms and in particular we prove that any Connes-Kreimer Hopf algebra of typed and decorated trees is isomorphic to a Connes-Kreimer Hopf algebra of non-typed and decorated  ...  generalizing Grossman and Larson's construction), commutative and noncocommutative Hopf algebras (generalizing Connes and Kreimer's construction), bialgebras in cointeraction (generalizing Calaque, Ebrahimi-Fard  ...  Note that the tree ¤ ¤ ¤ T paq 0 pt 0 q λ T I¨ pt 1 q v 1 T paq 1¨¤ ¤ ¤¨ pt paq na q vn a T na , which is shortly denoted by T pvq λ T I , is obtained in the following process: 1.  ... 
doi:10.3842/sigma.2021.086 fatcat:g3h7napbk5dbpnif5utrmxebma

Algebraic structures on typed decorated rooted trees [article]

Loïc Foissy
2021 arXiv   pre-print
Grossman and Larson's construction),commutative and noncocommutative Hopf algebras (generalizing Connes and Kreimer's construction),bialgebras in cointeraction (generalizing Calaque, Ebrahimi-Fard and  ...  We also define families of morphisms and in particular we prove that any Connes-Kreimer Hopf algebraof typed and decorated trees is isomorphic to a Connes-Kreimer Hopf algebra of non--typed and decoratedtrees  ...  .¯‚ pt paq na q vn a T na , which is shortly denote by T ‚ pvq λ T 1 , is obtained in the following process: 1. Delete the branches T paq 1 , . . . , T paq na coming from a in T .  ... 
arXiv:1811.07572v2 fatcat:uug77gmjgvd2xiffk64xcgxzsa

Preface to the proceedings of FMIS 2013

Judy Bowen, Steve Reeves
2015 Electronic Communications of the EASST  
They use Markovian process algebra PEPA (Probabilistic Evaluation Process Algebra) to describe the overall system model.  ...  from using PVS.  ... 
doi:10.14279/tuj.eceasst.69.966.986 dblp:journals/eceasst/BowenR13 fatcat:46jdo67ngbhiplufvyznozhaeu

The Boolean Algebra of Cubical Areas as a Tensor Product in the Category of Semilattices with Zero

Nicolas Ninin, Emmanuel Haucourt
2014 Electronic Proceedings in Theoretical Computer Science  
In this paper we describe a model of concurrency together with an algebraic structure reflecting the parallel composition.  ...  The collection of all these cubical areas enjoys a structure of tensor product in the category of semi-lattice with zero.  ...  The points of these subsets are to be considered as the states of the PV program. Holes in these subsets arise from synchronizations between processes.  ... 
doi:10.4204/eptcs.166.7 fatcat:gr3e7oyuebdh7om3gelulleilq

How to write a coequation [article]

Fredrik Dahlqvist, Todd Schmid
2021 arXiv   pre-print
We present each of these in a tutorial fashion, relate them to each other, and discuss their respective uses.  ...  In this review paper, we argue that this is partly due to the multitude of syntaxes for writing down coequations, which seems to have led to some confusion about what coequations are and what they are  ...  Studying behavioural equivalences like these is a popular topic in process algebra [78] .  ... 
arXiv:2109.11967v1 fatcat:gjiohhvtfvhrhnbgwzpqiatvoa
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