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Logic Programming and Negation: A Survey
 JOURNAL OF LOGIC PROGRAMMING
, 1994
"... We survey here various approaches which were proposed to incorporate negation in logic programs. We concentrate on the prooftheoretic and modeltheoretic issues and the relationships between them. ..."
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Cited by 245 (8 self)
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We survey here various approaches which were proposed to incorporate negation in logic programs. We concentrate on the prooftheoretic and modeltheoretic issues and the relationships between them.
Reasoning about Prolog Programs: from Modes through Types to Assertions
, 1994
"... We provide here a systematic comparative study of the relative strength and expressive power of a number of methods for program analysis of Prolog. Among others we show that these methods can be arranged in the following hierarchy: mode analysis ⇒ type analysis ⇒ monotonic properties &rArr ..."
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Cited by 80 (4 self)
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We provide here a systematic comparative study of the relative strength and expressive power of a number of methods for program analysis of Prolog. Among others we show that these methods can be arranged in the following hierarchy: mode analysis ⇒ type analysis ⇒ monotonic properties ⇒ nonmonotonic runtime properties. We also discuss a method allowing us to prove global runtime properties.
A Transformational Methodology for Proving Termination of Logic Programs
, 1991
"... this paper, we present a transformational approach for proving termination of logic programs by reducing the termination problem of logic programs to that of term rewriting systems. The termination problem of term rewriting systems has been well studied and many useful techniques and tools have been ..."
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Cited by 34 (5 self)
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this paper, we present a transformational approach for proving termination of logic programs by reducing the termination problem of logic programs to that of term rewriting systems. The termination problem of term rewriting systems has been well studied and many useful techniques and tools have been developed for proving termination of term rewriting systems. The prime motivation of our approach is to facilitate the use of this vast source of termination techniques and tools in proving termination of logic programs.
Verification of Logic Programs with Delay Declarations
 Proceedings of the Fourth International Conference on Algebraic Methodology and Software Technology, (AMAST'95), Lecture Notes in Computer Science
, 1995
"... . Logic programs augmented with delay declarations form a higly expressive programming language in which dynamic networks of processes that communicate asynchronously by means of multiparty channels can be easily created. In this paper we study correctness these programs. In particular, we propose p ..."
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Cited by 32 (1 self)
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. Logic programs augmented with delay declarations form a higly expressive programming language in which dynamic networks of processes that communicate asynchronously by means of multiparty channels can be easily created. In this paper we study correctness these programs. In particular, we propose proof methods allowing us to deal with occur check freedom, absence of deadlock, absence of errors in presence of arithmetic relations, and termination. These methods turn out to be simple modifications of the corresponding methods dealing with Prolog programs. This allows us to derive correct delay declarations by analyzing Prolog programs. Finally, we point out difficulties concerning proofs of termination. Notes. The research of the first author was partly supported by the ESPRIT Basic Research Action 6810 (Compulog 2). This paper will appear as an invited lecture in: Proc. of the Fourth International Conference on Algebraic Methodology and Software Technology, (AMAST'95). 1 Introduction ...
Declarative programming in Prolog
 Logic Programming, Proc. ILPS'93
, 1993
"... We try to assess to what extent declarative programming can be realized in Prolog and which aspects of correctness of Prolog programs can be dealt with by means of declarative interpretation. More specifically, we discuss termination of Prolog programs, partial correctness, absence of errors and the ..."
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Cited by 22 (3 self)
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We try to assess to what extent declarative programming can be realized in Prolog and which aspects of correctness of Prolog programs can be dealt with by means of declarative interpretation. More specifically, we discuss termination of Prolog programs, partial correctness, absence of errors and the safe use of negation.
Logic Programs as Term Rewriting Systems
, 1994
"... This paper studies the relationship between logic programs and term rewriting systems (TRSs). A compositional transform is defined which given a logic program computes a TRS. For a relevant class of logic programs, called Simply Well Moded (SWM), there is a onetoone correspondence between computed ..."
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Cited by 21 (4 self)
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This paper studies the relationship between logic programs and term rewriting systems (TRSs). A compositional transform is defined which given a logic program computes a TRS. For a relevant class of logic programs, called Simply Well Moded (SWM), there is a onetoone correspondence between computed answer substitutions of the logic program and normal forms of the corresponding TRS. Moreover the transform preserves termination, i.e., a logic program terminates iff the corresponding TRS terminates. This transform is refined in such a way that the above results hold for a relevant class of unification free programs containing SWM, the class of Flatly Well Moded (FWM) programs. Note: This work was done during an author's stay at CWI, Amsterdam. 1 Introduction The study of transforms from logic programs into term rewriting systems (TRSs for short) is an important topic. Theoretically, it is interesting to analyze which classes of logic programs can be regarded as TRSs in disguise. Practic...
Schreye. Termination Proofs for Logic Programs with Tabling
 ACM Transactions on Computational Logic
, 2001
"... Tabled evaluation is receiving increasing attention in the logic programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often considerably more efficient execution mechanism for logic programs. In particular, tabled execution terminates more often ..."
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Cited by 19 (3 self)
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Tabled evaluation is receiving increasing attention in the logic programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often considerably more efficient execution mechanism for logic programs. In particular, tabled execution terminates more often than execution based on SLDresolution. In this article, we introduce two notions of universal termination of logic programming with tabling: quasitermination and (the stronger notion of) LGtermination. We present sufficient conditions for these two notions of termination, namely quasiacceptability and LGacceptability, and we show that these conditions are also necessary in case the selection of tabled predicates meets certain natural criteria. Starting from these conditions, we develop modular termination proofs, i.e., proofs capable of combining termination proofs of separate programs to obtain termination proofs of combined programs. Finally, in the presence of mode information, we state sufficient conditions which form the basis for automatically proving termination in a constraintbased way.
Incremental Execution of Guarded Theories
, 2001
"... ... this paper, we combine these two ideas and demonstrate their power by presenting an interpreter, written in Prolog, for a variant of Golog that is suitable for eciently operating in openworld setting by exploiting sensing and bounded lookahead. ..."
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Cited by 18 (3 self)
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... this paper, we combine these two ideas and demonstrate their power by presenting an interpreter, written in Prolog, for a variant of Golog that is suitable for eciently operating in openworld setting by exploiting sensing and bounded lookahead.
Directional Type Inference for Logic Programs
, 1998
"... . We follow the setbased approach to directional types proposed by Aiken and Lakshman [1]. Their type checking algorithm works via set constraint solving and is sound and complete for given discriminative types. We characterize directional types in modeltheoretic terms. We present an algorithm ..."
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Cited by 16 (6 self)
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. We follow the setbased approach to directional types proposed by Aiken and Lakshman [1]. Their type checking algorithm works via set constraint solving and is sound and complete for given discriminative types. We characterize directional types in modeltheoretic terms. We present an algorithm for inferring directional types. The directional type that we derive from a logic program P is uniformly at least as precise as any discriminative directional type of P, i.e., any directional type out of the class for which the type checking algorithm of Aiken and Lakshman is sound and complete. We improve their algorithm as well as their lower bound and thereby settle the complexity (DEXPTIMEcomplete) of the corresponding problem. 1 Introduction Directional types form a type system for logic programs which is based on the view of a predicate as a directional procedure which, when applied to a tuple of input terms, generates a tuple of output terms. There is a rich literature on ty...