A direct semantic characterization of RELFUN

This paper attempts a direct semantic formalization of first-order relational-functional languages (the characteristic RELFUN subset) in terms of a generalized model concept. Function-defining conditional equations (or, footed clauses) and active call-by-value expressions (in clause premises) are integrated into first-order theories. Herbrand models are accommodated to relational-functional programs by not only containing ground atoms but also ground molecules, i.e. specific function applications paired with values. Extending SLD-resolution toward innermost conditional narrowing of relational-functional clauses, SLV-resolution is introduced, which, e.g., flattens active expressions. The Tp-operator is generalized analogously, e.g. by unnesting ground-clause premises. Soundness and completeness proofs for SLV-resolution naturally extend the corresponding results in logic programming

Extended logic-plus-functional programming

Extensions of logic and functional programming are integrated in RELFUN. Its valued clauses comprise Horn clauses (true\u27-valued) and clauses with a distinguished foot\u27 premise (returning arbitrary values). Both the logic and functional components permit LISP-like varying-arity and higher-order operators. The DATAFUN sublanguage of the functional component is shown to be preferable to relational encodings of functions in DATALOG. RELFUN permits non-ground, non-deterministic functions, hence certain functions can be inverted using an is\u27-primitive generalizing that of PROLOG. For function nestings a strict call-by-value strategy is employed. The reduction of these extensions to a relational sublanguage is discussed and their WAM compilation is sketched. Three examples (serialise\u27, wang\u27, and eval\u27) demonstrate the relational/functional style in use. The list expressions of RELFUN\u27s LISP implementation are presented in an extended PROLOG-like syntax

COLAB : a hybrid knowledge representation and compilation laboratory

Knowledge bases for real-world domains such as mechanical engineering require expressive and efficient representation and processing tools. We pursue a declarative-compilative approach to knowledge engineering. While Horn logic (as implemented in PROLOG) is well-suited for representing relational clauses, other kinds of declarative knowledge call for hybrid extensions: functional dependencies and higher-order knowledge should be modeled directly. Forward (bottom-up) reasoning should be integrated with backward (top-down) reasoning. Constraint propagation should be used wherever possible instead of search-intensive resolution. Taxonomic knowledge should be classified into an intuitive subsumption hierarchy. Our LISP-based tools provide direct translators of these declarative representations into abstract machines such as an extended Warren Abstract Machine (WAM) and specialized inference engines that are interfaced to each other. More importantly, we provide source-to-source transformers between various knowledge types, both for user convenience and machine efficiency. These formalisms with their translators and transformers have been developed as part of COLAB, a compilation laboratory for studying what we call, respectively, "vertical\u27; and "horizontal\u27; compilation of knowledge, as well as for exploring the synergetic collaboration of the knowledge representation formalisms. A case study in the realm of mechanical engineering has been an important driving force behind the development of COLAB. It will be used as the source of examples throughout the paper when discussing the enhanced formalisms, the hybrid representation architecture, and the compilers

Constraint-based semantics

Montague\u27s famous characterization of the homomorphic relation between syntax and semantics naturally gives way in computational applications to CONSTRAINT-BASED formulations. This was originally motivated by the close harmony it provides with syntax, which is universally processed in a constraint-based fashion. Employing the same processing discipline in syntax and semantics allows that their processing (and indeed other processing) can be as tightly coupled as one wishes - indeed, there needn\u27t be any fundamental distinction between them at all. In this paper, we point out several advantages of the constraint-based view of semantics processing over standard views. These include (i) the opportunity to incorporate nonsyntactic constraints on semantics, such as those arising from phonology and context; (ii) the opportunity to formulate principles which generalize over syntax and semantics, such as those found in HEAD-DRIVEN PHRASE STRUCTURE GRAMMAR; (iii) a characterization of semantic ambiguity, which in turn provides a framework in which to describe disambiguation, and (iv) the opportunity to underspecify meanings in a way difficult to reconcile with other views. The last point is illustrated with an application to scope ambiguity in which a scheme is developed which underspecifies scope but eschews auxiliary levels of logical form

Finite domains and exclusions as first-class citizens

Languages based on logical variables can regard finite domains, finite exclusions, and, generally, types as values. Like a variable can be bound to a non-ground structure which can be later specialized through in-place assignment of some inner variables, it can also be bound to, say, a domain structure which can be specialized later through "in-place deletion" of some of its elements (e.g. by intersection with other domain structures). While finite domains prescribe the elements of a disjunctive structure, the complementary finite exclusions forbid the elements of a conjunctive structure. Domains and exclusions can be values of variables or occur inside clauses as/in terms or within an occurrence-binding construct (useful to name arbitrary terms).In a relational-functional language (e.g., RELFUN) they can also be returned as values of functions. Altogether, domains and exclusions become first-class citizens. Because they are completely handled by an extended unification routine, they do not require delay techniques needed in (more expressive) constraint systems. Still, their backtracking-superseding "closed" representation leads to smaller proof trees (efficiency), and abstracted, intensional answers (readability). Anti-unification (for generalization) exchanges the roles of domains and exclusions. The operational semantics of domains, exclusions, and occurrence bindings is specified by a RELFUN meta-unify function (and implemented in pure LISP)

RELFUN guide : programming with relations and functions made easy

A practical description of relational/functional programming in RELFUN is given. The language constructs are introduced by a tutorial dialog. Builtins, primitives, and commands are explained. Examples are given on all aspects relevant to using the language

LAYLAB : a constraint-based layout manager for multimedia presentations

When developing advanced intelligent user interfaces composing text, graphics, animation, hypermedia etc., the question of automatically designing the graphical layout of such multimedia presentations in an appropriate format plays a crucial role. This paper introduces the task, the functionality and the architecture of the constraint-based multimedia layout manager LayLab

Extended logic-plus-functional programming

Extensions of logic and functional programming are integrated in RELFUN. Its valued clauses comprise Horn clauses (true'-valued) and clauses with a distinguished foot' premise (returning arbitrary values). Both the logic and functional components permit LISP-like varying-arity and higher-order operators. The DATAFUN sublanguage of the functional component is shown to be preferable to relational encodings of functions in DATALOG. RELFUN permits non-ground, non-deterministic functions, hence certain functions can be inverted using an is'-primitive generalizing that of PROLOG. For function nestings a strict call-by-value strategy is employed. The reduction of these extensions to a relational sublanguage is discussed and their WAM compilation is sketched. Three examples (serialise', wang', and eval') demonstrate the relational/functional style in use. The list expressions of RELFUN's LISP implementation are presented in an extended PROLOG-like syntax

Automatic design of multimodal presentations

We describe our attempt to integrate multiple AI components such as planning, knowledge representation, natural language generation, and graphics generation into a functioning prototype called WIP that plans and coordinates multimodal presentations in which all material is generated by the system. WIP allows the generation of alternate presentations of the same content taking into account various contextual factors such as the user\u27s degree of expertise and preferences for a particular output medium or mode. The current prototype of WIP generates multimodal explanations and instructions for assembling, using, maintaining or repairing physical devices. This paper introduces the task, the functionality and the architecture of the WIP system. We show that in WIP the design of a multimodal document is viewed as a non-monotonic process that includes various revisions of preliminary results, massive replanning and plan repairs, and many negotiations between design and realization components in order to achieve an optimal division of work between text and graphics. We describe how the plan-based approach to presentation design can be exploited so that graphics generation influences the production of text and vice versa. Finally, we discuss the generation of cross-modal expressions that establish referential relationships between text and graphics elements