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Model Checking Duration Calculus: A Practical Approach
[chapter]

2006
*
Lecture Notes in Computer Science
*

*Model*

*checking*of real-time systems against

*Duration*

*Calculus*(DC) specifications requires the translation of DC formulae into automata-based semantics. ... We propose

*a*translation algorithm that advances the applicability of

*model*

*checking*tools to realistic applications. ...

*Duration*

*Calculus*

*Duration*

*Calculus*[ZH04] is an interval-based logic for the specification of real-time systems. We use dense realtime, Time : R ≥0 . ...

##
###
Model checking Duration Calculus: a practical approach

2008
*
Formal Aspects of Computing
*

*Model*

*checking*of real-time systems against

*Duration*

*Calculus*(DC) specifications requires the translation of DC formulae into automata-based semantics. ... We propose

*a*translation algorithm that advances the applicability of

*model*

*checking*tools to realistic applications. ...

*Duration*

*Calculus*

*Duration*

*Calculus*[ZH04] is an interval-based logic for the specification of real-time systems. We use dense realtime, Time : R ≥0 . ...

##
###
Bounded model-checking of discrete duration calculus

2013
*
Proceedings of the 16th international conference on Hybrid systems: computation and control - HSCC '13
*

Fränzle and Hansen investigated the

doi:10.1145/2461328.2461362
dblp:conf/hybrid/ZuZZZ13
fatcat:vylfl2vzsbhn5jv2y4f5ig5j3y
*model*-*checking*problem of the subset of*Duration**Calculus*without individual variables and quantifications w.r.t. some approximation semantics by reduction to the decision ... problem of Presburger Arithmetic, thus obtained*a**model*-*checking*algorithm with 4-fold exponential complexity [6, 7] . ... real-time and hybrid systems and founded*Duration**Calculus*(DC). ...##
###
Model Checking Linear Duration Invariants of Networks of Automata
[chapter]

2010
*
Lecture Notes in Computer Science
*

Since

doi:10.1007/978-3-642-11623-0_14
fatcat:nvr4pjez6bhundhtnbhx3vjlqy
*a**model*checker*checks*exhaustively,*a*failure of the checker automaton to find the failure state will prove that the LDI holds. ... In this paper, we reduce the problem of verification of*a*network of timed automata against an LDI to an equivalent problem of*model**checking*whether*a*failure state is never reached. ... Ravn for his comments on how to improve the presentation, and in particular for his suggestion on the algorithm of the calculation of the sum of the*durations*that simplified the algorithm in an earlier ...##
###
Taming Numbers and Durations in the Model Checking Integrated Planning System

2003
*
The Journal of Artificial Intelligence Research
*

The

doi:10.1613/jair.1302
fatcat:h3uxy2ithfb4fhqlcyeup4p2vu
*Model**Checking*Integrated Planning System (MIPS) is*a*temporal least commitment heuristic search planner based on*a*flexible object-oriented workbench architecture. ... In the last event the description language was extended from pure propositional planning to include numerical state variables, action*durations*, and plan quality objective functions. ... The work is supported by Deutsche Forschungsgemeinschaft (DFG) in the projects Heuristic Search (Ed 74/3) and Directed*Model**Checking*(Ed 74/2). ...##
###
Bayesian Analysis: A Practical Approach to Interpret Clinical Trials and Create Clinical Practice Guidelines

2017
*
Circulation. Cardiovascular Quality and Outcomes
*

In

doi:10.1161/circoutcomes.117.003563
pmid:28798016
fatcat:csmkaxrkljbytde5cw4owddq7y
*practice*, the P value defines an error limit that prevents*a*statistician from wrongly rejecting*a*true H 0 only ≈5% of the time in the long run in, say, his or her career. 1 Abstract-Bayesian analysis ... to compare outcomes after specific treatment*durations*. ... Place the cursor anywhere in open*model*window, and then click the*check**model*box. At the bottom of the*model*window, you should see the message,*model*is syntactically correct. 5. ...##
###
e-Calculus at IZTECH
[chapter]

2006
*
Lecture Notes in Computer Science
*

Students can reach any documents for

doi:10.1007/11736639_33
fatcat:rokmflmk2nbarispdrgmr4wwoe
*calculus*and solve their problems with webMathematica to*check*whether their results are correct or not. ... We create*a*web browser environment by using the webMathematica, which is*a*new technology based on Java Server Page, Tomcat and Mathematica, in learning*calculus*. ... The heart of our*approach*is the development of mathematical power: understanding, using, and appreciating mathematics. We try to*model*and explore collaborative instructional strategies. ...##
###
Synthesizing controllers from Duration Calculus
[chapter]

1996
*
Lecture Notes in Computer Science
*

*Duration*

*Calculus*, as introduced in ZHR91], is

*a*logic for reasoning about requirements for real-time systems at

*a*high level of abstraction from operational detail, which quali es it as an interesting ... As far as we know, this is the rst positive result concerning feasibility of automatic synthesis from dense-time

*Duration*

*Calculus*. ? ... Wrt. the non-standard semantics of clocked controllers we note that

*checking*correctness requires only

*a*

*check*against the timewise discrete

*models*of the speci cation. . ...

##
###
Duration Calculus: A Real-Time Semantic for B
[chapter]

2005
*
Lecture Notes in Computer Science
*

*Duration*

*calculus*From the site ([DCa]) : "The

*duration*

*calculus*is

*a*modal logic for describing and reasoning about the real-time behaviour of dynamic systems, where states change over time and are represented ... We define here

*a*possible temporal semantic for B, by using

*a*temporal logic (the

*duration*

*calculus*), and we illustrate how this extension affects the proof mechanism used to show the soundness of abstract ...

*A*temporal extension to B will allows to

*check*OCL

*models*with temporal constraints, these ones being inherited from the corresponding UML

*model*, since UML 2.0 will include notions of time. tion

*calculus*...

##
###
Hybrid Temporal Situation Calculus
[article]

2018
*
arXiv
*
pre-print

The ability to

arXiv:1807.04861v1
fatcat:5olj72cb4rc5jgraw6wt4dvjmq
*model*continuous change in Reiter's temporal situation*calculus*action theories has attracted*a*lot of interest. ... In this paper, we propose*a*new development of his*approach*, which is directly inspired by hybrid systems in control theory. ... In hybrid systems, the*practical*need for robust specification and verification tools for hybrid automata resulted in the development of*a*multitude of logic-based*approaches*. ...##
###
A unifying action calculus

2011
*
Artificial Intelligence
*

We exemplify this by providing

doi:10.1016/j.artint.2010.04.010
fatcat:7s6rjfwvczhglkqx3mu5p2zija
*a*general,*calculus*-independent solution to*a*problem of*practical*relevance: the modularity of domain axiomatizations. ... successor state axioms or the Fluent*Calculus*, there also exist special planning languages like ADL and*approaches*based on*a*linear (rather than branching) time structure like the Event*Calculus*. ... Agents use the domain constraints only when they initialize their world*model*, they*check*the applicability of an action merely against the precondition axioms, and they update their world*model*entirely ...##
###
A verification system for timed interval calculus

2008
*
Proceedings of the 13th international conference on Software engineering - ICSE '08
*

Timed Interval

doi:10.1145/1368088.1368126
dblp:conf/icse/ChenDS08
fatcat:cupi45sribcfvg7jawsajqihpm
*Calculus*(TIC) is*a*highly expressive set-based notation for specifying and reasoning about embedded real-time systems. ...*A*translator has been implemented in Java to automatically transform TIC*models*into PVS specifications. ... Supporting Other Notations In this section, we show that our*approach*is applicable to handle other real-time system notations, for instance*Duration**Calculus*[24] . ...##
###
A Theory of Duration Calculus with Application
[chapter]

2007
*
Lecture Notes in Computer Science
*

*A*few extensions of the basic

*calculus*will be described, in particular, Hybrid

*Duration*

*Calculus*and

*Duration*

*Calculus*with iterations. ... Furthermore, results on decidability, undecidability and

*model*-

*checking*will be presented. ... The materials presented in this chapter is fundamental for researching and

*practicing*in

*Duration*

*Calculus*. ...

##
###
From Discrete Duration Calculus to Symbolic Automata

2006
*
Electronical Notes in Theoretical Computer Science
*

The goal of this paper is to translate (fragments of) the quantified discrete

doi:10.1016/j.entcs.2006.02.022
fatcat:ypbci34kvzcnzii32olt7yc554
*duration**calculus*QDDC, proposed by P. Pandya, into symbolic acceptors with counters. ... Then, we consider*a*more restricted fragment, which only needs deterministic acceptors. ... Now, for*practical*program verification, this classical*approach*should be revisited. First, decision procedures are not always interesting, in*practice*. ...##
###
Inductive Verification of Hybrid Automata with Strongest Postcondition Calculus
[chapter]

2013
*
Lecture Notes in Computer Science
*

First, we encode the execution trace of

doi:10.1007/978-3-642-38613-8_10
fatcat:zy4cq63vebcczhikod2mzlngiu
*a*hybrid automaton as an imperative program. Its safety property is then translated into proof obligations by strongest postcondition*calculus*. ... The problems are more general than those solved by the existing*model*checkers: our method can verify*models*with symbolic parameters and nonlinear equations as well. ... The*model*-*checking**approach*has been successfully applied to*practical*examples with tools such as HyTech [12] , PHAVer [8] , and HybridSAL [22] . ...
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