PAT (model Checker)
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PAT (model Checker)
PAT (Process Analysis Toolkit) is a self-contained framework for composing, simulating and reasoning of concurrent, real-time systems and other possible domains. It includes user interfaces, model editor and animated simulator. PAT implements various model checking techniques catering for different properties such as freedom from deadlock and divergence, reachability, LTL properties with fairness assumptions, refinement checking and probabilistic model checking. To achieve good performance, advanced optimization techniques are implemented in PAT, e.g. partial order reduction In computer science, partial order reduction is a technique for reducing the size of the state-space to be searched by a model checking or automated planning and scheduling algorithm. It exploits the commutativity of concurrently executed transitio ...symmetry reduction process counter abstraction. References {{Reflist, refs = J. Sun, Y. Liu, A. Roychoudhury, S. Liu and J. S. Dong.(2009)Fair Model Checki ...
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National University Of Singapore
The National University of Singapore (NUS) is a national public research university in Singapore. Founded in 1905 as the Straits Settlements and Federated Malay States Government Medical School, NUS is the oldest autonomous university in the country. It offers degree programmes in a wide range of disciplines at both the undergraduate and postgraduate levels, including in the sciences, medicine and dentistry, design and environment, law, arts and social sciences, engineering, business, computing, and music. NUS is one of the most highly-ranked academic institutions in the world. It has consistently featured in the top 30 of the Quacquarelli Symonds (QS) World University Rankings and the Times Higher Education (THE) World University Rankings, and in the top 100 of the Academic Ranking of World Universities (ARWU). As of 2022-2023, NUS is 11th worldwide according to QS and 19th worldwide according to THE. NUS's main campus is located in the southwestern part of Singapore, adja ...
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Japanese Language
is spoken natively by about 128 million people, primarily by Japanese people and primarily in Japan, the only country where it is the national language. Japanese belongs to the Japonic or Japanese- Ryukyuan language family. There have been many attempts to group the Japonic languages with other families such as the Ainu, Austroasiatic, Koreanic, and the now-discredited Altaic, but none of these proposals has gained widespread acceptance. Little is known of the language's prehistory, or when it first appeared in Japan. Chinese documents from the 3rd century AD recorded a few Japanese words, but substantial Old Japanese texts did not appear until the 8th century. From the Heian period (794–1185), there was a massive influx of Sino-Japanese vocabulary into the language, affecting the phonology of Early Middle Japanese. Late Middle Japanese (1185–1600) saw extensive grammatical changes and the first appearance of European loanwords. The basis of the standard dialect moved f ...
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Partial Order Reduction
In computer science, partial order reduction is a technique for reducing the size of the state-space to be searched by a model checking or automated planning and scheduling algorithm. It exploits the commutativity of concurrently executed transitions that result in the same state when executed in different orders. In explicit state space exploration, partial order reduction usually refers to the specific technique of expanding a representative subset of all enabled transitions. This technique has also been described as model checking with representatives. There are various versions of the method, the so-called stubborn set method, ample set method, and persistent set method. Ample sets Ample sets are an example of model checking with representatives. Their formulation relies on a separate notion of ''dependency''. Two transitions are considered independent only if whenever they are mutually enabled, they cannot disable another and the execution of both results in a unique state r ...
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Fairness Assumption
Fairness or being fair can refer to: * Justice * The character in the award-nominated musical comedy '' A Theory of Justice: The Musical.'' * Equity (law), a legal principle allowing for the use of discretion and fairness when applying justice * Social justice, equality and solidarity in a society * Distributive justice, the perceived appropriateness of the distribution of goods, benefits, and other outcomes in a society, group, or organization (see also: teleology) * Procedural justice, the perceived appropriateness of rules or procedures used to allocate goods, benefits, and other outcomes (see also: deontology) * Interactional justice, the perceived appropriateness of interpersonal treatment * Environmental justice, the perceived appropriateness of the use or treatment of the environment or people via the environment, typically as a function of interpersonal or international relations * Fairness measure, metrics to quantify the fair distribution of resources * Perceptio ...
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Linear Temporal Logic
In logic, linear temporal logic or linear-time temporal logic (LTL) is a modal temporal logic with modalities referring to time. In LTL, one can encode formulae about the future of paths, e.g., a condition will eventually be true, a condition will be true until another fact becomes true, etc. It is a fragment of the more complex CTL*, which additionally allows branching time and quantifiers. Subsequently, LTL is sometimes called ''propositional temporal logic'', abbreviated ''PTL''. In terms of expressive power, linear temporal logic (LTL) is a fragment of first-order logic. LTL was first proposed for the formal verification of computer programs by Amir Pnueli in 1977. Syntax LTL is built up from a finite set of propositional variables ''AP'', the logical operators ¬ and ∨, and the temporal modal operators X (some literature uses O or N) and U. Formally, the set of LTL formulas over ''AP'' is inductively defined as follows: * if p ∈ ''AP'' then p is an LTL formula; * if Ï ...
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Divergence (computer Science)
In computer science, a computation is said to diverge if it does not terminate or terminates in an exceptional state. Otherwise it is said to converge. In domains where computations are expected to be infinite, such as process calculi, a computation is said to diverge if it fails to be productive (i.e. to continue producing an action within a finite amount of time). Definitions Various subfields of computer science use varying, but mathematically precise, definitions of what it means for a computation to converge or diverge. Rewriting In abstract rewriting, an abstract rewriting system is called convergent if it is both confluent and terminating. The notation ''t'' ↓ ''n'' means that ''t'' reduces to normal form ''n'' in zero or more reductions, ''t''↓ means ''t'' reduces to some normal form in zero or more reductions, and ''t''↑ means ''t'' does not reduce to a normal form; the latter is impossible in a terminating rewriting system. In the lambda calculus an expressi ...
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Deadlock
In concurrent computing, deadlock is any situation in which no member of some group of entities can proceed because each waits for another member, including itself, to take action, such as sending a message or, more commonly, releasing a lock. Deadlocks are a common problem in multiprocessing systems, parallel computing, and distributed systems, because in these contexts systems often use software or hardware locks to arbitrate shared resources and implement process synchronization. In an operating system, a deadlock occurs when a process or thread enters a waiting state because a requested system resource is held by another waiting process, which in turn is waiting for another resource held by another waiting process. If a process remains indefinitely unable to change its state because resources requested by it are being used by another process that itself is waiting, then the system is said to be in a deadlock. In a communications system, deadlocks occur mainly due t ...
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Model Checking
In computer science, model checking or property checking is a method for checking whether a finite-state model of a system meets a given specification (also known as correctness). This is typically associated with hardware or software systems, where the specification contains liveness requirements (such as avoidance of livelock) as well as safety requirements (such as avoidance of states representing a system crash). In order to solve such a problem algorithmically, both the model of the system and its specification are formulated in some precise mathematical language. To this end, the problem is formulated as a task in logic, namely to check whether a structure satisfies a given logical formula. This general concept applies to many kinds of logic and many kinds of structures. A simple model-checking problem consists of verifying whether a formula in the propositional logic is satisfied by a given structure. Overview Property checking is used for verification when two desc ...
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Vietnamese Language
Vietnamese ( vi, tiếng Việt, links=no) is an Austroasiatic languages, Austroasiatic language originating from Vietnam where it is the national language, national and official language. Vietnamese is spoken natively by over 70 million people, several times as many as the rest of the Austroasiatic family combined. It is the native language of the Vietnamese people, Vietnamese (Kinh) people, as well as a second language, second language or First language, first language for List of ethnic groups in Vietnam, other ethnic groups in Vietnam. As a result of overseas Vietnamese, emigration, Vietnamese speakers are also found in other parts of Southeast Asia, East Asia, North America, Europe, and Australia (continent), Australia. Vietnamese has also been officially recognized as a minority language in the Czech Republic. Like many other languages in Southeast Asia and East Asia, Vietnamese is an analytic language with phonemic tone (linguistics), tone. It has head-initial directionali ...
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German Language
German ( ) is a West Germanic languages, West Germanic language mainly spoken in Central Europe. It is the most widely spoken and Official language, official or co-official language in Germany, Austria, Switzerland, Liechtenstein, and the Italy, Italian province of South Tyrol. It is also a co-official language of Luxembourg and German-speaking Community of Belgium, Belgium, as well as a national language in Namibia. Outside Germany, it is also spoken by German communities in France (Bas-Rhin), Czech Republic (North Bohemia), Poland (Upper Silesia), Slovakia (Bratislava Region), and Hungary (Sopron). German is most similar to other languages within the West Germanic language branch, including Afrikaans, Dutch language, Dutch, English language, English, the Frisian languages, Low German, Luxembourgish, Scots language, Scots, and Yiddish. It also contains close similarities in vocabulary to some languages in the North Germanic languages, North Germanic group, such as Danish lan ...
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Traditional Chinese Characters
Traditional Chinese characters are one type of standard Chinese character sets of the contemporary written Chinese. The traditional characters had taken shapes since the clerical change and mostly remained in the same structure they took at the introduction of the regular script in the 2nd century. Over the following centuries, traditional characters were regarded as the standard form of printed Chinese characters or literary Chinese throughout the Sinosphere until the middle of the 20th century, before different script reforms initiated by countries using Chinese characters as a writing system. Traditional Chinese characters remain in common use in Taiwan, Hong Kong and Macau, as well as in most overseas Chinese communities outside Southeast Asia; in addition, Hanja in Korean language remains virtually identical to traditional characters, which is still used to a certain extent in South Korea, despite differing standards used among these countries over some variant Chine ...
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C Sharp (programming Language)
C# (pronounced ) is a general-purpose, high-level multi-paradigm programming language. C# encompasses static typing, strong typing, lexically scoped, imperative, declarative, functional, generic, object-oriented (class-based), and component-oriented programming disciplines. The C# programming language was designed by Anders Hejlsberg from Microsoft in 2000 and was later approved as an international standard by Ecma (ECMA-334) in 2002 and ISO/IEC (ISO/IEC 23270) in 2003. Microsoft introduced C# along with .NET Framework and Visual Studio, both of which were closed-source. At the time, Microsoft had no open-source products. Four years later, in 2004, a free and open-source project called Mono began, providing a cross-platform compiler and runtime environment for the C# programming language. A decade later, Microsoft released Visual Studio Code (code editor), Roslyn (compiler), and the unified .NET platform (software framework), all of which support C# and are free, open ...
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