-homotopy and refinement of observation. II: Adding new -homotopy equivalences.
The branching nerve of HDA and the Kan condition.
The Formalization of Decision-Free Petri Net
In this article we formalize the definition of Decision-Free Petri Net (DFPN) presented in [19]. Then we formalize the concept of directed path and directed circuit nets in Petri nets to prove properties of DFPN. We also present the definition of firing transitions and transition sequences with natural numbers marking that always check whether transition is enabled or not and after firing it only removes the available tokens (i.e., it does not remove from zero number of tokens). At the end of this...
The shape of a category up to directed homotopy.
T-homotopy and refinement of observation. III. Invariance of the branching and merging homologies.
T-homotopy and refinement of observation. IV. Invariance of the underlying homotopy type.
Thread algebra for noninterference
Thread algebra is a semantics for recent object-oriented programming languages [J.A. Bergstra and M.E. Loots, J. Logic Algebr. Program. 51 (2002) 125–156; J.A. Bergstra and C.A. Middelburg, Formal Aspects Comput. (2007)] such as C# and Java. This paper shows that thread algebra provides a process-algebraic framework for reasoning about and classifying various standard notions of noninterference, an important property in secure information flow. We will take the noninterference property given by...
Thread algebra for noninterference
Thread algebra is a semantics for recent object-oriented programming languages [J.A. Bergstra and M.E. Loots, J. Logic Algebr. Program.51 (2002) 125–156; J.A. Bergstra and C.A. Middelburg, Formal Aspects Comput. (2007)] such as C# and Java. This paper shows that thread algebra provides a process-algebraic framework for reasoning about and classifying various standard notions of noninterference, an important property in secure information flow. We will take the noninterference property given...
Time Petri nets state space reduction using dynamic programming
Timed Petri-net based formulation and an algorithm for the optimal scheduling of batch plants
The effective scheduling of operations in batch plants has a great potential for high economic returns, in which the formulation and an optimal solution algorithm are the main issues of study. Petri nets have proven to be a promising technique for solving many difficult problems associated with the modelling, formal analysis, design and coordination control of discrete-event systems. One of the major advantages of using a Petri-net model is that the same model can be used for the analysis of behavioural...
Topologies, continuity and bisimulations
Topologies, Continuity and Bisimulations
The notion of a bisimulation relation is of basic importance in many areas of computation theory and logic. Of late, it has come to take a particular significance in work on the formal analysis and verification of hybrid control systems, where system properties are expressible by formulas of the modal μ-calculus or weaker temporal logics. Our purpose here is to give an analysis of the concept of bisimulation, starting with the observation that the zig-zag conditions are suggestive of some...
Transition systems and concurrent processes