scholarly journals On recursive operations over logic LTS

2014 ◽  
Vol 25 (6) ◽  
pp. 1382-1431
Author(s):  
YAN ZHANG ◽  
ZHAOHUI ZHU ◽  
JINJIN ZHANG
Keyword(s):  
General Theory ◽  
Transition System ◽  
Fundamental Properties ◽  
Solutions Of Equations ◽  
Usual Process ◽  
Process Algebraic ◽  
Labelled Transition System ◽  
Algebraic Operators ◽  
Pure Process

Recently, in order to mix algebraic and logic styles of specification in a uniform framework, the notion of a logic labelled transition system (Logic LTS or LLTS for short) has been introduced and explored. A variety of constructors over LLTS, including usual process-algebraic operators, logic connectives (conjunction and disjunction) and standard temporal modalities (always and unless), have been given. However, no attempt has been made so far to develop the general theory concerning (nested) recursive operations over LLTS and a few fundamental problems are still open. This paper intends to study this issue in a pure process-algebraic style. A few fundamental properties, including precongruence and the uniqueness of consistent solutions of equations, will be established.

scholarly journals Study on Formal Modeling and Safety Verification of Train-to-Train Communication

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Haonan Feng
Keyword(s):  
Transition System ◽  
Research Trend ◽  
Safety Properties ◽  
Safety Verification ◽  
Critical System ◽  
Real Time System ◽  
Vehicle Communication ◽  
Train Control ◽  
Safety Critical System ◽  
Labelled Transition System

VBTC (vehicle-to-vehicle communication based train control) has gradually become an important research trend in the field of rail transit. This has resulted in advantages of decreasing the number of pieces of wayside equipment and improving the efficiency of real-time system communication. Characteristics and mechanism of train-to-train communication, as key implementation technology of safety critical system, are given and discussed. A new method, based on the LTS (labelled transition system) model checking, is proposed for verifying the safety properties in the communication procedure. The LTS method is adapted to model system behaviours; analysis and safety verification are checked by means of LTSA (labelled transition system analyzer) software. The results show that it is an efficient method to verify safety properties, as well as to assist the complex system’s design and development.

Target-oriented Petri Net Synthesis

2020 ◽  
Author(s):  
Eike Best ◽  
Raymond Devillers ◽  
Evgeny Erofeev ◽  
Harro Wimmel
Keyword(s):  
Petri Nets ◽  
Petri Net ◽  
Transition System ◽  
Efficient Synthesis ◽  
Transition Systems ◽  
Np Complete ◽  
Full Class ◽  
Petri Net Synthesis ◽  
Labelled Transition System ◽  
Additional Constraints

When a Petri net is synthesised from a labelled transition system, it is frequently desirable that certain additional constraints are fulfilled. For example, in circuit design, one is often interested in constructing safe Petri nets. Targeting such subclasses of Petri nets is not necessarily computationally more efficient than targeting the whole class. For example, targeting safe nets is known to be NP-complete while targeting the full class of place/transition nets is polynomial, in the size of the transition system. In this paper, several classes of Petri nets are examined, and their suitability for being targeted through efficient synthesis from labelled transition systems is studied and assessed. The focus is on choice-free Petri nets and some of their subclasses. It is described how they can be synthesised efficiently from persistent transition systems, summarising and streamlining in tutorial style some of the authors’ and their groups’ work over the past few years.

scholarly journals Boxed ambients with communication interfaces

2007 ◽  
Vol 17 (4) ◽  
pp. 587-645 ◽  
Author(s):  
PABLO GARRALDA ◽  
EDUARDO BONELLI ◽  
ADRIANA COMPAGNONI ◽  
MARIANGIOLA DEZANI-CIANCAGLINI
Keyword(s):  
Information Exchange ◽  
Transition System ◽  
Communication Policy ◽  
Reduction Property ◽  
The Subject ◽  
Communication Policies ◽  
Ambient Calculus ◽  
Labelled Transition System

We define BACI(Boxed Ambients with Communication Interfaces), an ambient calculus with a flexible communication policy. Traditionally, typed ambient calculi have a fixed communication policy determining the kind of information that can be exchanged with a parent ambient, even though mobility changes the parent. BACI lifts that restriction, allowing different communication policies with different parents during computation. Furthermore, BACI separates communication and mobility by making the channels of communication between ambients explicit. In contrast with other typed ambient calculi where communication policies are global, each ambient in BACI is equipped with a description of the communication policies ruling its information exchange with parent and child ambients. The communication policies of ambients increase when they move: more precisely, when an ambient enters another ambient, the entering ambient and the host ambient can exchange their communication ports and agree on the kind of information to be exchanged. This information is recorded locally in both ambients.We show the type-soundness of BACI, proving that it satisfies the subject reduction property, and we study its behavioural semantics by means of a labelled transition system.

scholarly journals Logical Combinatorialism

2020 ◽  
Vol 129 (4) ◽  
pp. 537-589
Author(s):  
Andrew Bacon
Keyword(s):  
General Theory ◽  
Fundamental Property ◽  
Logical Truth ◽  
Higher Order ◽  
Order Logic ◽  
Higher Order Logic ◽  
Fundamental Properties ◽  
Logical Operations ◽  
The World

In explaining the notion of a fundamental property or relation, metaphysicians will often draw an analogy with languages. The fundamental properties and relations stand to reality as the primitive predicates and relations stand to a language: the smallest set of vocabulary God would need in order to write the “book of the world.” This paper attempts to make good on this metaphor. To that end, a modality is introduced that, put informally, stands to propositions as logical truth stands to sentences. The resulting theory, formulated in higher-order logic, also vindicates the Humean idea that fundamental properties and relations are freely recombinable and a variant of the structural idea that propositions can be decomposed into their fundamental constituents via logical operations. Indeed, it is seen that, although these ideas are seemingly distinct, they are not independent, and fall out of a natural and general theory about the granularity of reality.

scholarly journals A Semantic Theory for Value-Passing Processes Based on the Late Approach

2003 ◽  
Vol 10 (15) ◽  
Author(s):  
Anna Ingólfsdóttir
Keyword(s):  
General Class ◽  
Operational Semantics ◽  
Denotational Semantics ◽  
Semantic Theory ◽  
Transition System ◽  
Semantic Approach ◽  
Proof Systems ◽  
A Value ◽  
Concrete Language ◽  
Labelled Transition System

A general class of languages for value-passing calculi based on the late semantic approach is defined and a concrete instantiation of the general syntax is given. This is a modification of the standard CCS according to the late approach. Three kinds of semantics are given for this language. First a Plotkin style operational semantics by means of an applicative labelled transition system is introduced. This is a modification of the standard labelled transition system that caters for value-passing according to the late approach. As an abstraction, late bisimulation preorder is given. Then a general class of denotational models for the late semantics is defined. A denotational model for the concrete language is given as an instantiation of the general class. Two equationally based proof systems are defined. The first one, which is value-finitary, i. e. only reasons about a finite number of values at each time, is shown to be sound and complete with respect to this model. The second proof system, a value-infinitary one, is shown to be sound with respect to the model, whereas the completeness is proven later. The operational and the denotational semantics are compared and it is shown that the bisimulation preorder is finer than the preorder induced by the denotational model. We also show that in general the omega-bisimulation preorder is strictly included in the model induced preorder. Finally a value-finitary version of the bisimulation preorder is defined and the full abstractness of the denotational model with respect to it is shown. It is also shown that for CCS_L the omega -bisimulation preorder coincides with the preorder induced by the model. From this we can conclude that if we allow for parameterized recursion in our language, we may express processes which coincide in any algebraic domain but are distinguished by the omega-bisimulation. This shows that if we extend CCS_L in this way we obtain a strictly more expressive language.

scholarly journals Labelled transition system approach to distributed computing systems

2016 ◽  
Vol 8 (3) ◽  
pp. 19-32
Author(s):  
Dang Van Hung
Keyword(s):  
Distributed Computing ◽  
System Approach ◽  
Transition System ◽  
Distributed Computing Systems ◽  
Computing Systems ◽  
Transition Systems ◽  
Local Process ◽  
Global Properties ◽  
Labelled Transition System

The present paper introduces the  notion of  distributed transition systems for modeling, designing and  understanding distributed computing systems. The concurrency can be expressed explicitly in the model. Some of  the  global properties of the  systems are discussed and determined. It is  shown in the paper that  by keeping knowledge of other processes in each process of a system, some of its global properties can be synthesized from only few local process states.

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