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13
Homeomorphic Embedding for Online Termination
 STATIC ANALYSIS. PROCEEDINGS OF SAS’98, LNCS 1503
, 1998
"... Recently wellquasi orders in general, and homeomorphic embedding in particular, have gained popularity to ensure the termination of program analysis, specialisation and transformation techniques. In this paper, ..."
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Cited by 61 (8 self)
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Recently wellquasi orders in general, and homeomorphic embedding in particular, have gained popularity to ensure the termination of program analysis, specialisation and transformation techniques. In this paper,
Infinite state model checking by abstract interpretation and program specialisation
 LogicBased Program Synthesis and Transformation. Proceedings of LOPSTR’99, LNCS 1817
, 2000
"... Abstract. We illustrate the use of logic programming techniques for finite model checking of CTL formulae. We present a technique for infinite state model checking of safety properties based upon logic program specialisation and analysis techniques. The power of the approach is illustrated on severa ..."
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Cited by 55 (24 self)
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Abstract. We illustrate the use of logic programming techniques for finite model checking of CTL formulae. We present a technique for infinite state model checking of safety properties based upon logic program specialisation and analysis techniques. The power of the approach is illustrated on several examples. For that, the efficient tools logen and ecce are used. We discuss how this approach has to be extended to handle more complicated infinite state systems and to handle arbitrary CTL formulae. 1
Logic program specialisation through partial deduction: Control issues
 THEORY AND PRACTICE OF LOGIC PROGRAMMING
, 2002
"... Program specialisation aims at improving the overall performance of programs by performing source to source transformations. A common approach within functional and logic programming, known respectively as partial evaluation and partial deduction, is to exploit partial knowledge about the input. It ..."
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Cited by 54 (12 self)
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Program specialisation aims at improving the overall performance of programs by performing source to source transformations. A common approach within functional and logic programming, known respectively as partial evaluation and partial deduction, is to exploit partial knowledge about the input. It is achieved through a wellautomated application of parts of the BurstallDarlington unfold/fold transformation framework. The main challenge in developing systems is to design automatic control that ensures correctness, efficiency, and termination. This survey and tutorial presents the main developments in controlling partial deduction over the past 10 years and analyses their respective merits and shortcomings. It ends with an assessment of current achievements and sketches some remaining research challenges.
Homeomorphic embedding for online termination of symbolic methods
 In The essence of computation, volume 2566 of LNCS
, 2002
"... Abstract. Wellquasi orders in general, and homeomorphic embedding in particular, have gained popularity to ensure the termination of techniques for program analysis, specialisation, transformation, and verification. In this paper we survey and discuss this use of homeomorphic embedding and clarify ..."
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Cited by 28 (5 self)
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Abstract. Wellquasi orders in general, and homeomorphic embedding in particular, have gained popularity to ensure the termination of techniques for program analysis, specialisation, transformation, and verification. In this paper we survey and discuss this use of homeomorphic embedding and clarify the advantages of such an approach over one using wellfounded orders. We also discuss various extensions of the homeomorphic embedding relation. We conclude with a study of homeomorphic embedding in the context of metaprogramming, presenting some new (positive and negative) results and open problems.
Solving Coverability Problems of Petri Nets by Partial Deduction
 Proceedings of PPDP’2000
, 2000
"... In recent work it has been shown that infinite state model checking can be performed by a combination of partial deduction of logic programs and abstract interpretation. This paper focuses on a particular class of problems  coverability for (infinite state) Petri nets  and shows how existing tech ..."
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Cited by 26 (17 self)
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In recent work it has been shown that infinite state model checking can be performed by a combination of partial deduction of logic programs and abstract interpretation. This paper focuses on a particular class of problems  coverability for (infinite state) Petri nets  and shows how existing techniques and tools for declarative programs can be successfully applied. In particular, we show that a restricted form of partial deduction is already powerful enough to decide all coverability properties of Petri Nets. We also prove that two particular instances of partial deduction exactly compute the KarpMiller tree as well as Finkel's minimal coverability set. We thus establish a link between algorithms for Petri nets and logic program specialisation.
A GraphBased Definition of Distillation
 SECOND INTERNATIONAL WORKSHOP ON METACOMPUTATION IN RUSSIA (META 2010)
, 2010
"... In this paper, we give a graphbased definition of the distillation transformation algorithm. This definition is made within a similar framework to the positive supercompilation algorithm, thus allowing for a more indepth comparison of the two algorithms. We find that the main distinguishing charac ..."
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Cited by 6 (1 self)
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In this paper, we give a graphbased definition of the distillation transformation algorithm. This definition is made within a similar framework to the positive supercompilation algorithm, thus allowing for a more indepth comparison of the two algorithms. We find that the main distinguishing characteristic between the two algorithms is that in positive supercompilation, generalization and folding are performed with respect to expressions, while in distillation they are performed with respect to graphs. We also find that while only linear improvements in performance are possible using positive supercompilation, superlinear improvements are possible using distillation. This is because computationally expensive terms can only be extracted from within loops when generalizing graphs rather than expressions.
Partial Deduction System
 In Proc. of the ILPS'97 Workshop on Tools and Environments for (Constraint) Logic Programming, U.P
, 1997
"... We present the fully automatic partial deduction system ecce, which can be used to specialise and optimise logic programs. We describe the underlying principles of ecce and illustrate some of the potential application areas. Interesting possibilites of crossfertilisation with other fields such as r ..."
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Cited by 5 (1 self)
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We present the fully automatic partial deduction system ecce, which can be used to specialise and optimise logic programs. We describe the underlying principles of ecce and illustrate some of the potential application areas. Interesting possibilites of crossfertilisation with other fields such as reachability analysis of concurrent systems and inductive theorem proving are highlighted and substantiated. 1 Introduction Program specialisation, also called partial evaluation or partial deduction, is an automatic technique for program optimisation. The central idea is to specialise a given source program for a particular application domain. Program specialisation encompasses traditional compiler optimisation techniques, such as constant folding and inlining, but uses more aggressive transformations, yielding both the possibility of obtaining (much) greater speedups and more difficulty in controlling the transformation process. In addition to achieving important speedups, program special...
Finiteness Theorems for Graphs and Posets Obtained by Compositions
 Order
, 1998
"... We investigate classes of graphs and posets that admit decompositions to obtain or disprove finiteness results for obstruction sets. To do so we develop a theory of minimal infinite antichains that allows us to characterize such antichains by means of the set of elements below it. In particular we ..."
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Cited by 4 (0 self)
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We investigate classes of graphs and posets that admit decompositions to obtain or disprove finiteness results for obstruction sets. To do so we develop a theory of minimal infinite antichains that allows us to characterize such antichains by means of the set of elements below it. In particular we show that the following classes have infinite antichains with resp. to the induced subgraph/poset relation: interval graphs and orders, Nfree orders, orders with bounded decomposition width. On the other hand for orders with bounded decomposition diameter finiteness of all antichains is shown. As a consequence those classes with infinite antichains have undecidable hereditary properties whereas those with finite antichains have fast algorithms for all such properties.
Extending Homeomorphic Embedding in the Context of Logic Programming
 Departement Computerwetenschappen
, 1997
"... Recently wellquasi orders in general, and homeomorphic embedding in particular, have gained popularity to ensure the termination of program analysis, specialisation and transformation techniques. However, as we illustrate in the paper, the homeomorphic embedding relation as it is usually defined su ..."
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Cited by 2 (1 self)
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Recently wellquasi orders in general, and homeomorphic embedding in particular, have gained popularity to ensure the termination of program analysis, specialisation and transformation techniques. However, as we illustrate in the paper, the homeomorphic embedding relation as it is usually defined suffers from several inadequacies which make it less suitable in a logic programming context. We present several increasingly refined ways to remedy this problem by providing more sophisticated treatments of variables and present a new, extended homeomorphic embedding relation.
Constructing Programs From Metasystem Transition Proofs
 FIRST INTERNATIONAL WORKSHOP ON METACOMPUTATION IN RUSSIA (META 2008)
, 2008
"... It has previously been shown by Turchin in the context of supercompilation how metasystem transitions can be used in the proof of universally and existentially quantified conjectures. Positive supercompilation is a variant of Turchin’s supercompilation which was introduced in an attempt to study and ..."
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Cited by 2 (0 self)
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It has previously been shown by Turchin in the context of supercompilation how metasystem transitions can be used in the proof of universally and existentially quantified conjectures. Positive supercompilation is a variant of Turchin’s supercompilation which was introduced in an attempt to study and explain the essentials of Turchin’s supercompiler. In our own previous work, we have proposed a program transformation algorithm called distillation, which is more powerful than positive supercompilation, and have shown how this can be used to prove a wider range of universally and existentially quantified conjectures in our theorem prover Poitín. In this paper we show how a wide range of programs can be constructed fully automatically from firstorder specifications through the use of metasystem transitions, and we prove that the constructed programs are totally correct with respect to their specifications. To our knowledge, this is the first technique which has been developed for the automatic construction of programs from their specifications using metasystem transitions.