if coin.cpl is in a different directory. At this point you can pose query to the
program by using the predicate s/2 (for solve) that takes as its first argument a
@@ -329,7 +331,7 @@ class="verbatim">
s([head(coin),biased(coin)],P).
- For computing the probability of a conjunction given another conjunction you can
+
For computing the probability of a conjunction given another conjunction you can
use the predicate sc/3 (for solve conditional) that take takes as input the query
conjunction as its first argument, the evidence conjunction as its second argument
@@ -345,19 +347,19 @@ class="verbatim">
sc([heads(coin)],[biased(coin)],P).
- After having parsed a program, in order to read in a new program you must restart
+
After having parsed a program, in order to read in a new program you must restart
Yap when using semlpadsld.pl and semlpad.pl. With the other modules, you can
directly parse a new program.
-
When using When using lpad.pl, the system can print the message “Uunsound program” in
the case in which an instance with a three valued well founded model is found.
Moreover, it can print the message “It requires the choice of a head atom from a non
ground head”: in this case, in order to answer the query, all the groundings of the
culprit clause must be generated, which may be impossible for programs with
function symbols.
-
When using When using semcpl.pl, you can print the execution process by using the
command print. after context is a list of atoms that are true in the context.
semcpl.pl can print “Invalid program” in the case in which no execution process
exists.
-
When using When using cpl.pl you can print a partial execution model including all the
clauses involved in the query issued with print. cpl.pl can print the messages
“Uunsound program”, “It requires the choice of a head atom from a non ground
head” and “Invalid program”.
-
The modules make use of a number of parameters in order to control their
+
The modules make use of a number of parameters in order to control their
behavior. They that can be set with the command
- from the Yap prompt after having loaded the module. The current value can be read
+
from the Yap prompt after having loaded the module. The current value can be read
with
setting(parameter,Value).
- from the Yap prompt. The available parameters are:
+
from the Yap prompt. The available parameters are:
- epsilon_parsing (valid for all six modules): if (1 - the sum of the
@@ -422,7 +424,7 @@ class="verbatim">
Variables: [(2,[X=2,X1=1]),(2,[X=1,X1=0]),(1,[])]
- where the first element of each couple is the clause number of the input file
+
where the first element of each couple is the clause number of the input file
(starting from 1). In the example above variable X0 corresponds to clause 2
@@ -445,7 +447,7 @@ class="verbatim">
dotty cpl.dot &
-
+
- ground_body (valid for false, ground
constant. In the case where the body contains variables not in the
head, setting it to false means that the body represents an existential
event.
-
+
5 Semantic Modules
-The three semantic modules need to produce a grounding of the program in order to
+
The three semantic modules need to produce a grounding of the program in order to
compute the semantics. They require an extra file with extension .uni (for universe)
in the same directory where the .cpl file is.
-
There are two ways to specify how to ground a program. The first consists in
+
There are two ways to specify how to ground a program. The first consists in
providing the list of constants to which each variable can be instantiated. For
example, in our case the current directory will contain a file coin.uni that is a
@@ -478,7 +480,7 @@ class="verbatim">
universe(var_list,const_list).
- where where var_list is a list of variables names (each must be included in single quotes)
and const_list is a list of constants. The semantic modules generate the grounding
@@ -488,7 +490,7 @@ class="cmtt-10">var_list
with the constants of
class="cmtt-10">const_list
. Note that the variables are identified by name, so a variable with
the same name in two different clauses will be instantiated with the same
constants.
-
The other way to specify how to ground a program consists in using mode and
+
The other way to specify how to ground a program consists in using mode and
type information. For each predicate, the file .uni must contain a fact of the
form
@@ -499,7 +501,7 @@ class="verbatim">
mode(predicate(t1,...,tn)).
- that specifies the number and types of each argument of the predicate. Then, the list
+
that specifies the number and types of each argument of the predicate. Then, the list
of constants that are in the domain of each type ti must be specified with a fact of
the form
@@ -510,7 +512,7 @@ class="verbatim">
type(ti,list_of_constants).
- The file The file .uni can contain both universe and mode declaration, the ones to be used
depend on the value of the parameter grounding: with value variables, the
universe declarations are used, with value modes the mode declarations are
used.
-
With With semcpl.pl only mode declarations can be used.
-
+
6 Extensions
-In this section we will present the extensions to the syntax of LPADs and CP-logic
+
In this section we will present the extensions to the syntax of LPADs and CP-logic
programs that cplint can handle.
-
The first is the use of some standard Prolog predicates. The bodies can contain
+
The first is the use of some standard Prolog predicates. The bodies can contain
the built-in predicates:
length/2
- The bodies can also contain the following library predicates:
+
The bodies can also contain the following library predicates:
- plus the predicate
+
plus the predicate
- that, given a list of numbers, computes its arithmetic mean.
-
When using that, given a list of numbers, computes its arithmetic mean.
+
When using lpadsld.pl, the bodies can contain the predicates setof/3 and
setof(Z, (term(X,Y))^foo(X,Y,Z), L).
- returns all the instantiations of returns all the instantiations of Z such that there exists an instantiation of X and Y
for which foo(X,Y,Z) is true.
-
An example of the use of An example of the use of setof and bagof is in the file female.cpl:
@@ -617,18 +619,18 @@ male(C):M/P ; female(C):F/P:-
known_male(e).
-
The disjunctive rule expresses the probability of a person of unknown sex of being
+
The disjunctive rule expresses the probability of a person of unknown sex of being
male or female depending on the number of males and females that are known. This
is an example of the use of expressions in the probabilities in the head that depend
on variables in the body. The probabilities are well defined because they always sum
to 1 (unless P is 0).
-
Another use of Another use of setof and bagof is to have an attribute depend on an
aggregate function of another attribute, similarly to what is done in PRM and
CLP(BN).
-
So, in the classical school example (available in So, in the classical school example (available in student.cpl) you can find the
following clauses:
@@ -644,7 +646,7 @@ student_rank(S,h):0.6 ; student_rank(S,l):0.4:-
average(L,Av),Av =< 1.5.
-
where where registr_stu(R,S) expresses that registration R refers to student S and
@@ -654,7 +656,7 @@ class="cmtt-10">R
reports grade G which is a natural
number. The two clauses express a dependency of the rank of the student from the
average of her grades.
- Another extension can be used with Another extension can be used with lpadsld.pl in order to be able to represent
reference uncertainty of PRMs. Reference uncertainty means that the link structure
of a relational model is not fixed but is uncertain: this is represented by having the
@@ -676,13 +678,13 @@ uniform(cites_cited(C,P),P,L):-
bagof(Pap,paper_topic(Pap,ai),L).
-
The first clauses states that the paper The first clauses states that the paper P cited in a citation C is selected
uniformly from the set of all papers with topic theory. The second clauses
expresses that the citing paper is selected uniformly from the papers with topic
ai.
-
These clauses make use of the predicate
+
These clauses make use of the predicate
uniform(Atom,Variable,List)
|
- in the head, where in the head, where Atom must contain Variable. The meaning is the following:
the set of all the atoms obtained by instantiating ∕N where N is the length of
List.
-
A more elaborate example is present in file A more elaborate example is present in file paper_ref.cpl:
cites_cited_group(C,T),bagof(Pap,paper_topic(Pap,T),L).
- where the cited paper depends on the topic of the citing paper. In particular, if the
+
where the cited paper depends on the topic of the citing paper. In particular, if the
topic is theory, the cited paper is selected uniformly from the papers about theory
with probability 0.9 and from the papers about ai with probability 0.1. if
the topic is ai, the cited paper is selected uniformly from the papers about
theory with probability 0.01 and from the papers about ai with probability
0.99.
-
PRMs take into account as well existence uncertainty, where the existence of
+
PRMs take into account as well existence uncertainty, where the existence of
instances is also probabilistic. For example, in the paper domain, the total number of
citations may be unknown and a citation between any two paper may have a
probability of existing. For example, a citation between two paper may be more
@@ -750,7 +752,7 @@ cites(X,Y):0.005 :-
paper_topic(X,ai),paper_topic(Y,ai).
-
This is an example where the probabilities in the head do not sum up to one so the
+
This is an example where the probabilities in the head do not sum up to one so the
null event is automatically added to the head. The first clause states that, if the topic
of a paper X is theory and of paper X to Y. The other clauses consider the remaining cases for the
topics.
-
+
7 Additional Files
-In the directory where Yap keeps the library files (usually In the directory where Yap keeps the library files (usually /usr/local/share/ Yap)
you can find the directory cplint that contains the files:
@@ -773,11 +775,13 @@ class="cmtt-10"> testlpadsld_gbfalse.pl,
testlpad.pl,
testcpl.pl, testsemcpl.pl: Prolog programs for testing the modules.
- They are executed when issuing the command make installcheck during
- the installation. To execute them afterwords, load the file and issue the
- command testsemlpadsld.pl, testsemlpad.pl testsemcpl.pl
:
+ Prolog programs for testing the modules. They are executed when issuing
+ the command make installcheck during the installation. To execute
+ them afterwords, load the file and issue the command t.
Subdirectory invalid.cpl: programs taken from [13]. invalid.cpl is an example
of a program that is invalid but sound.
- The files The files *.uni that are present for some of the examples are used by the
semantical modules. Some of the example files contain in an initial comment
some queries together with their result.
@@ -871,18 +875,18 @@ class="cmtt-10">*.uni
that are present for some of the examples are used
Subdirectory doc: contains this manual in latex, html and pdf.
-
+
8 License
-cplint, as Yap, follows the Artistic License 2.0 that you can find in Yap CVS root
dir. The copyright is by Fabrizio Riguzzi.
-
The program uses the library The program uses the library CUDD for manipulating BDDs that is included in
glu. For the use of CUDD, the following license must be accepted:
-
Copyright (c) 1995-2004, Regents of the University of Colorado
-
All rights reserved.
-
Redistribution and use in source and binary forms, with or without modification,
+
Copyright (c) 1995-2004, Regents of the University of Colorado
+
All rights reserved.
+
Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:
- Redistributions of source code must retain the above copyright notice, this
@@ -895,7 +899,7 @@ are permitted provided that the following conditions are met:
- Neither the name of the University of Colorado nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
-THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS
+
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS
AND CONTRIBUTORS ”AS IS” AND ANY EXPRESS OR IMPLIED
WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
@@ -909,7 +913,7 @@ INTERRUPTION) HOWEVER CAU-SED
LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
lpad.pl, semlpad.pl and cpl.pl are based on the SLG system by
+
References
-
+
-
+
[1] K. R. Apt and M. Bezem. Acyclic programs. New Generation
Comput., 9(3/4):335–364, 1991.
-
+
[2] H. Blockeel. Probabilistic logical models for mendel’s experiments: An
exercise. In Inductive Logic Programming (ILP 2004), Work in Progress
Track, 2004.
-
+
[3] Weidong Chen and David Scott Warren. Tabled evaluation with
delaying for general logic programs. J. ACM, 43(1):20–74, 1996.
-
+
[4] L. De Raedt, A. Kimmig, and H. Toivonen. Problog: A probabilistic
prolog and its application in link discovery. In Proceedings of the 20th
class="cmti-10">International Joint Conference on Artificial Intelligence
, pages 2462–2467,
2007.
-
+
[5] L. Getoor, N. Friedman, D. Koller, and A. Pfeffer. Learning
probabilistic relational models. In Saso Dzeroski and Nada Lavrac, editors,
Relational Data Mining. Springer-Verlag, Berlin, 2001.
-
+
[6] L. Getoor, N. Friedman, D. Koller, and B. Taskar. Learning
probabilistic models of relational structure. Journal of Machine Learning
Research, 3:679–707, December 2002.
-
+
[7] Fabrizio Riguzzi. A top down interpreter for lpad and cp-logic. In
h
.
-
+
[8] Fabrizio Riguzzi. A top down interpreter for lpad and
cp-logic. In Algorithms for Solving Problems with Combinatorial Explosion
http://pst.istc.cnr.it/RCRA07/articoli/P19-riguzzi-RCRA07.pdf .
-
+
[9] V. Santos Costa, D. Page, M. Qazi, and J. Cussens. CLP(BN):
Constraint logic programming for probabilistic knowledge. In Uncertainty
in Artificial Intelligence (UAI 2003), 2003.
-
+
[10] J. Vennekens, M. Denecker, and M. Bruynooghe. Representing causal
information about a probabilistic process. In 10th European Conference on
class="cmti-10">Logics in Artificial Intelligence, JELIA 2006
, LNAI. Springer, September
2006.
-
+
[11] J. Vennekens and S. Verbaeten. Logic programs with annotated
disjunctions. Technical Report CW386, K. U. Leuven, 2003. ~
joost/techrep.ps .
-
+
[12] J. Vennekens, S. Verbaeten, and M. Bruynooghe. Logic programs with
annotated disjunctions. In ~joost/
.
-
+
[13] Joost Vennekens, Marc Denecker, and Maurice Bruynooge. Extending
the role of causality in
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