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Linear Temporal Logic To Büchi Automaton
In formal verification, finite state model checking needs to find a Büchi automaton (BA) equivalent to a given linear temporal logic (LTL) formula, i.e., such that the LTL formula and the BA recognize the same ω-language. There are algorithms that translate an LTL formula to a BA.M.Y. Vardi and P. Wolper, Reasoning about infinite computations, Information and Computation, 115(1994), 1–37.Y. Kesten, Z. Manna, H. McGuire, A. Pnueli, A decision algorithm for full propositional temporal logic, CAV’93, Elounda, Greece, LNCS 697, Springer–Verlag, 97-109.R. Gerth, D. Peled, M.Y. Vardi and P. Wolper, "Simple On-The-Fly Automatic Verification of Linear Temporal Logic," Proc. IFIP/WG6.1 Symp. Protocol Specification, Testing, and Verification (PSTV95), pp. 3-18,Warsaw, Poland, Chapman & Hall, June 1995. P. Gastin and D. Oddoux, Fast LTL to Büchi automata translation, Thirteenth Conference on Computer Aided Verification (CAV ′01), number 2102 in LNCS, Springer-Verlag (2001), pp. 53 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Formal Verification
In the context of hardware and software systems, formal verification is the act of proving or disproving the correctness of intended algorithms underlying a system with respect to a certain formal specification or property, using formal methods of mathematics. Formal verification can be helpful in proving the correctness of systems such as: cryptographic protocols, combinational circuits, digital circuits with internal memory, and software expressed as source code. The verification of these systems is done by providing a formal proof on an abstract mathematical model of the system, the correspondence between the mathematical model and the nature of the system being otherwise known by construction. Examples of mathematical objects often used to model systems are: finite-state machines, labelled transition systems, Petri nets, vector addition systems, timed automata, hybrid automata, process algebra, formal semantics of programming languages such as operational semantics, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Büchi Automaton
In computer science and automata theory, a deterministic Büchi automaton is a theoretical machine which either accepts or rejects infinite inputs. Such a machine has a set of states and a transition function, which determines which state the machine should move to from its current state when it reads the next input character. Some states are accepting states and one state is the start state. The machine accepts an input if and only if it will pass through an accepting state infinitely many times as it reads the input. A non-deterministic Büchi automaton, later referred to just as a Büchi automaton, has a transition function which may have multiple outputs, leading to many possible paths for the same input; it accepts an infinite input if and only if some possible path is accepting. Deterministic and non-deterministic Büchi automata generalize deterministic finite automata and nondeterministic finite automata to infinite inputs. Each are types of ω-automata. Büchi automata rec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ω-language
In formal language theory within theoretical computer science, an infinite word is an infinite-length sequence (specifically, an ω-length sequence) of symbols, and an ω-language is a set of infinite words. Here, ω refers to the first ordinal number, the set of natural numbers. Formal definition Let Σ be a set of symbols (not necessarily finite). Following the standard definition from formal language theory, Σ* is the set of all ''finite'' words over Σ. Every finite word has a length, which is a natural number. Given a word ''w'' of length ''n'', ''w'' can be viewed as a function from the set → Σ, with the value at ''i'' giving the symbol at position ''i''. The infinite words, or ω-words, can likewise be viewed as functions from \mathbb to Σ. The set of all infinite words over Σ is denoted Σω. The set of all finite ''and'' infinite words over Σ is sometimes written Σ∞ or Σ≤ω. Thus an ω-language ''L'' over Σ is a subset of Σω. Operations Some common ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Information And Computation
''Information and Computation'' is a closed-access computer science journal published by Elsevier (formerly Academic Press). The journal was founded in 1957 under its former name ''Information and Control'' and given its current title in 1987. , the current editor-in-chief is David Peleg. The journal publishes 12 issues a year. History ''Information and Computation'' was founded as ''Information and Control'' in 1957 at the initiative of Leon Brillouin and under the editorship of Leon Brillouin, Colin Cherry and Peter Elias. Murray Eden joined as editor in 1962 and became sole editor-in-chief in 1967. He was succeeded by Albert R. Meyer in 1981, under whose editorship the journal was rebranded ''Information and Computation'' in 1987 in response to the shifted focus of the journal towards theory of computation and away from control theory. In 2020, Albert Mayer was succeeded by David Peleg as editor-in-chief of the journal. Indexing All articles from the ''Information and Comput ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Amir Pnueli
Amir Pnueli ( he, אמיר פנואלי; April 22, 1941 – November 2, 2009) was an Israeli computer scientist and the 1996 Turing Award recipient. Biography Pnueli was born in Nahalal, in the British Mandate of Palestine (now in Israel) and received a Bachelor's degree in mathematics from the Technion in Haifa, and Ph.D. in applied mathematics from the Weizmann Institute of Science (1967). His thesis was on the topic of "Calculation of Tides in the Ocean". He switched to computer science during a stint as a post-doctoral fellow at Stanford University. His works in computer science focused on temporal logic and model checking, particularly regarding fairness properties of concurrent systems.. He returned to Israel as a researcher; he was the founder and first chair of the computer science department at Tel Aviv University. He became a professor of computer science at the Weizmann Institute in 1981. From 1999 until his death, Pnueli also held a position at the Computer Science D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Büchi Automaton
In automata theory, a generalized Büchi automaton is a variant of a Büchi automaton. The difference with the Büchi automaton is the accepting condition, which is determined by a set of sets of states. A run is accepted by the automaton if it visits at least one state of every set of the accepting condition infinitely often. Generalized Büchi automata are equivalent in expressive power to Büchi automata; a transformation is given here. In formal verification, the model checking method needs to obtain an automaton from a LTL formula that specifies the desired program property. There are algorithms that translate a LTL formula into a generalized Büchi automaton. M. Y. Vardi and P. Wolper, Reasoning about infinite computations, Information and Computation, 115(1994), 1–37. Y. Kesten, Z. Manna, H. McGuire, A. Pnueli, A decision algorithm for full propositional temporal logic, CAV’93, Elounda, Greece, LNCS 697, Springer–Verlag, 97-109. R. Gerth, D. Peled, M.Y. Vardi and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Büchi Automaton
In automata theory, a generalized Büchi automaton is a variant of a Büchi automaton. The difference with the Büchi automaton is the accepting condition, which is determined by a set of sets of states. A run is accepted by the automaton if it visits at least one state of every set of the accepting condition infinitely often. Generalized Büchi automata are equivalent in expressive power to Büchi automata; a transformation is given here. In formal verification, the model checking method needs to obtain an automaton from a LTL formula that specifies the desired program property. There are algorithms that translate a LTL formula into a generalized Büchi automaton. M. Y. Vardi and P. Wolper, Reasoning about infinite computations, Information and Computation, 115(1994), 1–37. Y. Kesten, Z. Manna, H. McGuire, A. Pnueli, A decision algorithm for full propositional temporal logic, CAV’93, Elounda, Greece, LNCS 697, Springer–Verlag, 97-109. R. Gerth, D. Peled, M.Y. Vardi and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moshe Y
Moses ( el, Μωϋσῆς),from Latin and Greek Moishe ( yi, משה),from Yiddish Moshe ( he, מֹשֶׁה),from Modern Hebrew or Movses (Armenian: Մովսես) from Armenian is a male given name, after the biblical figure Moses. According to the Torah, the name "Moses" comes from the Hebrew verb, meaning "to pull out/draw out" f water and the infant Moses was given this name by Pharaoh's daughter after she rescued him from the Nile (Exodus 2:10) Since the rise of Egyptology and decipherment of hieroglyphs, it was postulated that the name of Moses, with a similar pronunciation as the Hebrew Moshe, is the Egyptian word for Son, with Pharaoh names such as Thutmose and Ramesses roughly translating to "son of Thoth" and "son of Ra," respectively. There are various ways of pronouncing the Hebrew name of Moses, for example in Ashkenazi western European it would be pronounced Mausheh, in Eastern Europe Moysheh, in northern Islamic countries Moussa, and in Yemen Mesha. The nickname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre Wolper
Pierre Wolper is a Belgian computer scientist at the University of Liège. His research interests include verification methods for reactive and concurrent programs, as well as temporal databases. He is the co-recipient of the 2000 Gödel Prize, along with Moshe Y. Vardi, for his work on temporal logic with finite automata. He also received the 2005 Paris Kanellakis Award for this work. Following elections of October 2018, he becomes Rector of the University of Liège The University of Liège (french: Université de Liège), or ULiège, is a major public university of the French Community of Belgium based in Liège, Wallonia, Belgium. Its official language is French. As of 2020, ULiège is ranked in the 301 .... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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