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First-order past time LTL with recursive rules, time and prediction!
Version 3.0, Februar - 2023
DejaVu is a program written in Scala for monitoring event streams (traces) against temporal logic formulas. The main formulas are written in a first-order past-time linear temporal logic, with the addition of macros and recursive rules. The logic also supports reasoning about time. DejaVu contributors are Klaus Havelund, Doron Peled and Dogan Ulus. iPRV DejaVu is an extension of DejaVu that supports prediction of the next k events. More details about DejaVu and how it operates can be found here.
An example of a property in its most basic form is the following:
prop closeOnlyOpenFiles : forall f . close(f) -> exists m . @ [open(f,m),close(f))
The property has the name closeOnlyOpenFiles
and states that for any file f
, if a close(f)
event is observed, then there exists a mode m
(e.g 'read' or 'write') such that in the previous step (@
), some time in the past was observed an open(f,m)
event, and since then no close(f)
event has been observed.
The implementation uses BDDs (Binary Decision Diagrams) for representing assignments to quantified variables (such as f
and m
above).
In this version of iPRV DejaVu we add the ability to predict the next k
steps in 2 modes of prediction.
Before installing DejaVu, ensure that you have the following software installed on your system:
- Java 8: DejaVu is implemented in Scala, which requires Java. Specifically, Java 8 is required. Java 8 Installation Instructions
The directory dir
contains files useful for installing and running DejaVu:
dejavu
: Script to run the systemdejavu.jar
: Contain the dejavu.jar file
The directory out
contains useful examples for DejaVu:
examples
: An example directory containing properties and logs (DejaVu + iPRV-DejaVu)papers
: A directory containing papers published about DejaVu and iPRV-DejaVu.
DejaVu is implemented in Scala. In this version of iPRV-DejaVu we used Scala 2.11.12.
-
Install the Scala programming language if not already installed (Scala 2.11.12 installation instructions).
-
Place the files
dejavu
anddejavu.jar
mentioned above in some directory DIR (standing for the total path to this directory). -
cd to DIR and make the script executable:
chmod +x dejavu
-
Preferably define an alias in your shell profile to the dejavu script so it can be called from anywhere:
alias dejavu=DIR/dejavu
The script is applied as follows:
Usage:
dejavu --specfile=<filename> --logfile=<filename> [OPTIONS]
Options:
-s, --specfile=<filename> Path to the file containing the specification document. (Mandatory)
-l, --logfile=<filename> Path to the CSV log file to be analyzed. (Mandatory)
-b, --bits=<numOfBits> Number of bits for each variable in the BDD representation. (Default: 20 bits)
-m, --mode=(debug|profile) Set the output mode. (Default: None)
-p, --prediction=<num> Enable prediction and set the size of the prediction parameters. (Optional)
-t, --prediction_type=(smart|brute) Specifies the prediction approach. (Default: smart)
-e, --expected_verdict=(0|1) Set the expected prediction verdict. If not specified, all possibilities will be predicted. (Optional)
-c, --clear=(0|1) Clear generated files and folders. Set to '1' for cleaning. (Optional)
Examples:
dejavu --specfile=spec.txt --logfile=log.csv
dejavu --specfile=spec.txt --logfile=log.csv --bits=16 --mode=debug --prediction=5 --prediction_type=brute --expected_verdict=1 --clear=1
-
Execute
iPRV-DejaVu
, allocating10
bits to each variable../dejavu --specfile=/path/to/specfile --logfile=/path/to/logfile --bits=10
-
Execute
iPRV-DejaVu
, allocating7
bits to each variable, and ensure the clearing of generated files and folders../dejavu -s=/path/to/specfile --logfile=/path/to/logfile -b=7 --clear=1
-
Execute
iPRV-DejaVu
indebug
mode, where certain parameters likebits
assume default values../dejavu --specfile=/path/to/specfile -l=/path/to/logfile --mode=debug
-
Initiate the
iPRV-DejaVu
process, allocating5
bits to each variable. Set the prediction parameter,k
, to3
and employ abrute-force
approach for the prediction type. The anticipated outcome isfalse
, indicating that the execution will cease immediately upon encountering a false prediction../dejavu --specfile=/path/to/specfile --logfile=/path/to/logfile --bits=5 --prediction=3 --prediction_type=brute -expected_verdict=0
-
Initiate the
iPRV-DejaVu
process, allocating5
bits to each variable. Set the prediction parameter,k
, to3
and employ asmart
approach for the prediction type. The anticipated outcome istrue
, indicating that the execution will cease immediately upon encountering a true prediction../dejavu -s=/path/to/specfile -l=/path/to/logfile -b=5 -p=3 -t=smart -e=1
The --specfile=<filename>
is the temporal specification that the trace must satisfy,
which is referred to as the Specification Document File. See the explanation of the specification language below.
The log file (--logfile=<filename>
) should be in comma separated value format (CSV): http://edoceo.com/utilitas/csv-file-format. For example, a file of
the form:
list,chair,500
bid,chair,700
bid,chair,650
sell,chair
with no leading spaces would mean the four events:
list(chair,500)
bid(chair,700)
bid(chair,650)
sell(chair)
The log file and time
In case the log file contains time stamps, the log file name! must contain the text .timed.
. E.g: log42.timed.csv
. Time stamps (natural numbers) must appear as the last argument to all events. E.g. a timed version of the above trace (with time values in
the range 1000 ... 1099) is:
list,chair,500,1010
bid,chair,700,1025
bid,chair,650,1067
sell,chair,1099
Note that this last time value is not refered to explicitly in events in specifications. That is, the events with time in the above CSV format still corresponds to the following events in specification format:
list(chair,500)
bid(chair,700)
bid(chair,650)
sell(chair)
In case the log file is not timed (as described just above), time is considered as always being 0. One can still check timed properties against such a log, but of course it makes little sense.
The bits per variable (--bits=numOfBits
):
Indicates how many bits are assigned to each variable in the BDDs.
This parameter is optional with the default value being 20. If the number is too low an error message will be issued
during analysis as explained below. A too high number can have impact on the efficiency of the algorithm. Note that the
number of values representable by N bits is 2^N, so one in general does not need very large numbers.
The algorithm/implementation will perform garbage collection on allocated BDDs, re-using BDDs that are no longer needed for checking the property, depending on the form of the formula.
Debugging (--mode=debug
):
Typically, a low number of bits (e.g., 3
) is chosen for
debugging purposes. The result is a debugging output that displays the progress of formula
evaluation for each event and the progress of the prediction, if activated. The output includes
BDD graphs that can be visualized with GraphViz (http://www.graphviz.org).
Prediction Parameter (--prediction=n
):
This flag determines whether to predict optional events of size 'n'.
Additional supporting flags include --prediction_type
, which outlines the prediction methodology,
and --expected_verdict
, which sets a target verdict for the evaluation process.
Cleanup of Results and Created Files (--clear=1
):
This flag indicates whether the files and folders generated during the process should
be deleted. A value of 1
signifies deletion of the files, while the default value, 0
,
implies that the files will be preserved in the output
folder. The generated files typically
include TraceMonitor.scala
, ast.dot
, and dejavu-results
.
Wellformedness errors
Error messages will be emitted if the specification document is not wellformed. A wellformedness violation terminates the program, and can be one of the following:
- Syntax error: the document does not follow the grammar.
- Free variable: a used variable has not been introduced as a predicate parameter or a quantified variable.
- Hiding: a quantified expression hides a name introduced at an outer level.
- Unused variable: a name introduced as a predicate parameter or quantifier is not used.
- Inconsistent: a predicate is called with inconsistent number of arguments compared to definition or other calls.
- Duplicates: duplicate definition of a predicate or property name.
- Undefined event: events have been defined but an event is used and not amongst the defined ones.
- Variable duplication: a variable is introduced more than once in an event, macro, or rule parameter list.
- Unprotected recursive rule definition: A rule is called in the body of a rule definition wthout being underneath a previous-time operator:
@
.
A warning does not terminate the program, and can be one of:
- Unused macro: a predicate macro is defined but not used.
- Unused event: an event is defined but not used.
Property violations The tool will indicate a violation of a property by printing what event number it concerns and what event. For example:
*** Property incr violated on event number 3:
#########################################################
#### bid(chair,650)
#########################################################
indicates that event number 3 violates the property incr
, and that event is a line in the CSV file having the format:
bid,chair,650
Trace statistics A trace statistics is printed, which indicates how many events were processed in total and how they were distributed over the different event types:
Processed 1100006 events
==================
Event Counts:
------------------
logout : 20001
open : 520001
login : 500000
close : 40002
access : 20002
==================
Warnings will also be here be issued if:
- if there are events in the specification that do not occur in the trace, or dually
- if there are events in the trace that do not occur in the specification
Both can potentially be signs of a flawed specification, but might not need to be.
Not enough bits per variable If not enough bits have been allocated for a variable to hold the number of values generated for that variable, an assertion violation like the following is printed:
*** java.lang.AssertionError: assertion failed:
10 bits is not enough to represent variable i.
One can/should experiment with BDD sizes.
Prediction Outcomes The tool will actively present new predictions in the console, each accompanied by a succinct summary to facilitate understanding.
######### SUMMARY OF PREDICTION #########
b(1)=1 -> g(2)=1 -> v(8)=0 -> DONE
Processed 3 events
3 errors detected!
==================
Event Counts:
------------------
g : 12
t : 13
v : 2
b : 7
==================
- Garbage collector was not activated
In the above example the DejaVu's prediction result indicates that there are k=3 events, as denoted by "Processed 3 events." Among these, the first two events satisfy the specification criteria (both equal to 1, which signifies True), whereas the third event violate the specification (equal to 0, representing False). The remaining output information presents a comprehensive evaluation, including statistics and the latest predicted events.
Timing results The system will print the following timings:
- the time spent on parsing spec and synthesizing the monitor (a Scala program)
- the time spent on compiling the synthesized monitor
- the time spent on verifying trace with compiled monitor
Generated files The system will generate the following files (none of which need any attention from the user, but may be informative):
- TraceMonitor.scala : containing the synthesized monitor (a self-sufficient Scala program).
- ast.dot : file showing the structure of the formula (used for generating BDD updating code). This can be viewed with GraphViz (http://www.graphviz.org). These two files help illustrate how the algorithm works.
- dejavu-results : contains numbers of events that violated property if any violations occurred. Mostly used for unit testing purposes.
The grammar for the DejaVu temporal logic is as follows.
<doc> ::= <def> ... <def>
<def> ::= <eventdef> | <macrodef> | <propertydef>
<eventdef> ::= 'pred' <event>,...,<event>
<event> ::= <id> [ '(' <id> ',' ... ',' <id> ')' ]
<macrodef> ::= 'pred' <id> [ '(' <id> ',' ... ',' <id> ')' ] '=' <form>
<propertydef> ::= 'prop' <id> ':' <form> ['where' <ruledef> ',' ... ',' <ruledef>]
<ruledef> ::= <id> ['(' <id> ',' ... ',' <id> ')'] ':=' <form>
<form> ::=
'true'
| 'false'
| <id> [ '(' <param> ',' ... ',' <param> `)' ]
| <form> <binop> <form>
| '[' <form> ',' <form> ')'
| <unop> <form>
| <id> <oper> (<id> | <const>)
| '(' <form> ')'
| <quantifier> <id> '.' <form>
<param> ::= <id> | <const>
<const> ::= <string> | <integer>
<binop> ::= '->' | '|' | '&' | 'S' [<time>] | Z <timeLE>
<unop> ::= '!' | '@' | 'P' [<time>] | 'H' [<time>]
<oper> ::= '<' | '<=' | '=' | '>' | '>='
<quantifier> ::= 'exists' | 'forall' | 'Exists' | 'Forall'
<time> ::= <timeLE> | <timeGT>
<timeLE> ::= '[<=' <number> ']'
<timeGT> ::= '[>' <number> ']'
A specification document <doc>
consists of a sequence of definitions. A definition <def>
can either be an event definition, a macro definition, or a property to be checked.
An event definition introduces those events that the property will refer to. If no events are defined then the events are inferred to be those referred to in the property. It may help to reduce errors in properties to declare the events up front.
A predicate macro definition <macrodef>
introduces a named shorthand for a formula, possibly
parameterized with variable names (those introduced with quantifiers). For example the following
macro definition defines a shorthand representing that a file is open:
pred isOpen(f) = !close(f) S open(f)
Macros can be called in properties. Macros can call other macros, but cannot be recursive. The order of the declaration is of no importance. They can furthermore be introduced after as well as before the properties referring to them.
A property definition <propdef>
introduces a named property, which is a first-order past time temporal formula.
The different formulas <form>
have the following intuitive meaning:
true, false : Boolean truth and falsehood
id(v1,...,vn) : event or call of predicate macro, where vi can be a constant or variable
p -> q : p implies q
p | q : p or q
p & q : p and q
p S q : p since q (q was true in the past, and since then, including that point in time, p has been true)
p S[<=d] q : p since q but where q occurred within d time units
p S[>d] q : p since q but where q occurred earlier than d time units
p Z[<=d] q : p since q but where q did not occur at the current time
[p,q) : interval notation equivalent to: !q S p. This form may be easier to read.
! p : not p
@ p : in previous state p is true
P p : in some previous state p is true
P[<=d] p : in some previous state within d time units p is true
P[>d] p : in some previous state earlier than d time units p is true
H p : in all previous states p is true
H[<=d] p : in all previous states within d time units p is true
H[>d] p : in all previous states earlier than d time units p is true
x op k : x is related to variable or constant k via op. E.g.: x < 10, x <= y, x = y, x >= 10, x > z
// -- quantification over seen values in the past, see (*) below:
exists x . p(x) : there exists an x such that seen(x) and p(x)
forall x . p(x) : for all x, if seen(x) then p(x)
// -- quantification over the infinite domain of all values:
Exists x . p(x) : there exists an x such that p(x)
Forall x . p(x) : for all x p(x)
(*) seen(x) holds if x has been observed in the past
A new extension of DejaVu is the notion of rules, which are part of a property definition. As an example, consider the following property about threads being spawned in an operating system. We want to
ensure that when a thread y
reports some data d
back to another thread x
, then thread y
has been spawned by thread x
either directly, or transitively
via a sequence of spawn events. The events are
spawn(x,y)
(thread x
spawns thread y
)
and report(y,x,d)
(thread y
reports data d
back to thread x
). For this we need to compute a transitive closure of spawning relationships, here expressed with the rule spawning(x,y)
. This property can be stated as follows using the rule spawned(x,y)
(thread x
spawned y
, either directly or indirectly through other spawns):
prop spawning :
Forall x . Forall y . Forall d . report(y,x,d) -> spawned(x,y)
where
spawned(x,y) :=
@ spawned(x,y)
| spawn(x,y)
| Exists z . (@spawned(x,z) & spawn(z,y))
The property states that if there is a report(y,x,d)
event (thread y
reporting data d
back to thread x
), then spawned(x,y)
must hold, defined as follows: either spawned(x,y)
held in the previous state, or there is a spawn(x,y)
in the current state, or, the interesting case: spawned(x,z)
held in the previous state for some z
, and spawn(z,y)
holds in the current state. This last disjunct forms the transitive closure.
Timing properties can be expressed using natural numbers as constraints. Examples formulas concerning commands being
dispatched dis(m)
and succeeding suc(m)
are:
Forall m . suc(m) -> true S[<=3] dis(m) // succeeding command must have been dispatched within 3 time units
Forall m . suc(m) -> true S[>3] dis(m) // dispatch earlier than 3 time units
Forall m . dis(m) -> ! (true Z[<=3] dis(m)) // if command dispatched, not dispatched before! within 3
Forall m . suc(m) -> P[<=3] dis(m) // succeeding command must have been dispatched within 3 time units
Forall m . suc(m) -> P[>3] dis(m) // dispatch earlier than 3 time units
Forall m . suc(m) -> H[<=3] !dis(m) // for a succeeding command no dispatch within 3 time units before
Forall m . suc(m) -> H[>3] !dis(m) // no dispatch earlier than 3 time units
We illustrate the logic with properties that an auction has to satisfy. The following observable events occur during an auction:
list(i,r)
: itemi
is listed for auction with the minimal reserve sales pricer
.bid(i,a)
: the bidding ofa
dollars on itemi
.sell(i)
: the selling of itemi
to highest bidder.
An auction system has to satisfy the four properties shown in below
expressed over these three kinds of events, using a predicate macro inAuction(x)
to
express when an item x
is in active auction (when it has been listed and not yet sold):
pred inAuction(x) = exists r . @ [list(x,r),sell(x))
prop incr :
Forall i . Forall a1 . Forall a2 . @ P bid(i,a1) & bid(i,a2) -> a1 < a2
prop sell :
Forall i . Forall r . P list(i,r) & sell(i) -> exists a . P bid(i,a) & a >= r
prop open :
Forall i . Forall a . (bid(i,a) | sell(i)) -> inAuction(i)
prop once :
Forall i . Forall r . list(i,r) -> ! exists s . @ P list(i,s)
Property incr
states that bidding must be increasing.
Property sell
states that when an item is sold, there must exist a bidding
on that item which is bigger than or equal to the reserve price.
Property open
states that bidding on and selling of an item are
only allowed if the item has been listed and not yet sold.
Finally, Property once
states that an item can only be listed
once.
We observe the following events:
acq(t,l)
: threadt
acquires lockl
.rel(t,l)
: threadt
releases lockl
.read(t,x)
: threadt
reads variablex
.write(t,x)
: threadt
writes variablex
.sleep(t)
: threadt
goes to sleep.
The first set of properties are stated as a conjucntion of three sub-properties:
- A thread going to sleep should not hold any locks.
- At most one thread can acquire a lock at a time.
- A thread can only release a lock it has acquired.
This is formalized as follows:
prop locksBasic :
Forall t . Forall l .
(
(sleep(t) -> ![acq(t,l),rel(t,l))) &
(acq(t,l) -> ! exists s . @ [acq(s,l),rel(s,l))) &
(rel(t,l) -> @ [acq(t,l),rel(t,l)))
)
Locks should not be acquired in a cyclic manner amongst threads (dining philosopher problem). That is, if a thread t1
takes a lock l1
and then a lock l2
(without having released l1
), then at no time should another thread t2
take the locks in reverse order. Obeying this principle will prevent cyclic deadlocks.
This is formalized as follows:
prop locksDeadlocks :
Forall t1 . Forall t2 . Forall l1 . Forall l2 .
(@ [acq(t1,l1),rel(t1,l1)) & acq(t1,l2))
->
(! @ P (@ [acq(t2,l2),rel(t2,l2)) & acq(t2,l1)))
If two threads access (read or write) the same shared variable, and one of the threads write to the variable, there must exist a lock, which both threads hold whenever they access the variable.
This is formalized as follows:
prop locksDataraces :
Forall t1 . Forall t2 . Forall x .
(
(P (read(t1,x) | write(t1,x)))
&
(P write(t2,x))
)
->
Exists l .
(
H ((read(t1,x) | write(t1,x)) -> [acq(t1,l),rel(t1,l)))
&
H ((read(t2,x) | write(t2,x)) -> [acq(t2,l),rel(t2,l)))
)
This property concerns a radio on board a spacecraft, which communicates over different channels (quantified over in the formula), which each can be turned on and off with a toggle(x)
- they are all initially off. Telemetry can only be sent to ground over a channel x
, with the telem(x)
event, when radio channel x
is toggled on. The property cannot be expressed in pure past time LTL, that is, without the use of rules.
The property is formalized as follows:
prop telemetry1:
Forall x . closed(x) -> !telem(x)
where closed(x) := toggle(x) <-> @!closed(x)
The same property can alternatively be expressed using two rules, more closely reflecting how we would model this using a state machine with two states for each channel x
: closed(x)
and open(x)
:
prop telemetry2:
Forall x . closed(x) -> !telem(x)
where
closed(x) :=
(!@true & !toggle(x))
| (@closed(x) & !toggle(x))
| (@open(x) & toggle(x)),
open(x) :=
(@open(x) & !toggle(x))
| (@closed(x) & toggle(x))
The rule closed(x)
is defined as a disjunction between three alternatives. The first alternative states that this predicate is true if we are in the initial state (the only state where @true
is false), and there is no toggle(x)
event. The next alternative states that closed(x)
was true in the previous state and there is no toggle(x)
event now. The third alternative states that we in the previous state were in the open(x)
state and we observe a toggle(x)
event. Similarly for the open(x)
rule.
We have extended DejaVu to include the capability of predict the next k
steps using two distinct
prediction modes. The fundamental functionality of DejaVu remains intact, with no alterations or
enhancements. To facilitate prediction requests, we had to adapt the way DejaVu acquires and processes
its command-line arguments, as outlined above.
Our proposed RV prediction method, termed as iPRV
, is predicated on computing an equivalence
relation on the observed data values. The equivalence classes are independently calculated for each
variable. Subsequently, we select a representative for the next event from each equivalence class,
thereby making the following event options a minimum requirement.
Moreover, for values that have not yet appeared in the trace and belong to the same equivalence class,
a single representative suffices (after using that representative in the current event,
a fresh representative is needed for the unseen values, and so on).
We provide two unique prediction modes:
-
brute
- This mode employs a simple brute force strategy, exploring all possible options without any optimizations for speed or efficiency. It is primarily included for testing, experimentation, and comparative purposes, enabling users to contrast it with ouriPRV
(Isomorphic Predictive RV) prediction method. -
iPRV
- This mode forms the crux of our research. The intelligent prediction method capitalizes on the fact that some values are equivalent within a specific time frame, thereby diminishing the number of potential predictions. In certain scenarios, such as after evaluating a lengthy trace file comprising various events, the reduction is so significant that theiPRV
approach facilitates successful prediction, while thebrute
method fails due to excessive memory usage or for reaching to a time limitation.
- Single Event Prediction: The prediction process is limited to generating only one event per time point.
- Operator Constraints: No tests have been conducted for specifications containing operators, such as x < 10, x <= y, or those referring to time units. The prediction procedure currently overlooks these operators.
- Specification Support: The tool is designed to support one specification per monitor.
This part provides a detailed guide on how to modify the DejaVu Runtime Verification (RV) tool. The primary functions of DejaVu are found in three main source files: Verify.scala, Monitor.scala, and Ast.scala.
-
The
Verify.scala
file manages the creation process of theTraceMonitor.scala
file. It generates this monitor based on the user-provided specifications. Additionally, it is responsible for executing the resultingTraceMonitor.scala
. -
The
Monitor.scala
file contains common monitoring code used across all properties. Importantly,Monitor.scala
should always be identical toMonitor.txt
to ensure consistency. -
The
Ast.scala
file has a crucial role in parsing the spec file provided by the user. It generates the appropriate functions to be run on theTraceMonitor.scala
.
When TraceMonitor.scala
is created during the generation process, it uses code templates found in the aforementioned files.
If you want to modify the final output of TraceMonitor.scala
, you'll need to make changes in these source files.
This often involves altering the existing code templates or adding new ones as per your needs.
After making modifications to the DejaVu Runtime Verification (RV) tool, you may want to create a new dejavu.jar
artifact. Here are the steps to do this using IntelliJ:
Before you begin, please ensure you have Scala version 2.11.x installed on your computer. DejaVu was developed on Scala version 2.11.12, so using a different minor version may cause unexpected issues.
-
Open Project in IntelliJ: Navigate to your project directory and open the project in IntelliJ.
-
Setup Scala SDK: Go to
File -> Project Structure -> Global Libraries
, then add the Scala 2.11.12 SDK. -
Create Artifact Configuration: Go to
File -> Project Structure -> Artifacts
, click on the+
button, and selectJAR -> From modules with dependencies
. -
Select Module and Main Class: A new window will appear. Select the main module and the main class for the JAR artifact (Verify.scala).
-
Finalize Artifact Configuration: IntelliJ will automatically select the output directory for the artifact (it can be modified by you). Click
OK
to save the configuration. -
Build Artifact: Go to
Build -> Build Artifacts
, selectdejavu
, and then selectBuild
.
The dejavu.jar
file will be created in the output directory you specified in the artifact configuration.
DejaVu is based on an older version of Scala (2.11.12). If you're using a newer version of Scala, you might encounter compatibility issues. Therefore, it's crucial to ensure you have Scala 2.11.x installed and selected as the SDK in IntelliJ before you proceed with the artifact creation.
-
Experiments for FMSD journal paper 2018 "First-Order Temporal Logic Monitoring with BDDs": experiments
-
Experiments for ATVA 2020 paper "First-Order Timed Runtime Verification using BDDs": experiments
-
Experiments for STTT journal 2020 paper "An Extension of LTL with Rules and its Application to Runtime Verification":
- Klaus Havelund, Jet Propulsion Laboratory/NASA, USA
- Doron Peled, Bar Ilan University, Israel
- Dogan Ulus, Boston University, USA
- Doron Peled, Bar Ilan University, Israel
- Moran Omer, Bar Ilan University, Israel