Abductive analysis of modular logic programs

This paper introduces first-order modular logic programs, which provide a way of viewing answer set programs as consisting of many independent, meaningful modules. We also present conservative extensions of such programs. This concept helps to identify strong relationships between modular programs as well as between traditional programs. For example, we illustrate how the notion of a conservative extension can be used to justify the common projection rewriting. This is a short version of a paper was presented at the 32nd International Conference on Logic Programming (Harrison and Lierler, 2016).

Download Full-text

First-order modular logic programs and their conservative extensions

Theory and Practice of Logic Programming ◽

10.1017/s1471068416000430 ◽

2016 ◽

Vol 16 (5-6) ◽

pp. 755-770 ◽

Cited By ~ 1

Author(s):

AMELIA HARRISON ◽

YULIYA LIERLER

Keyword(s):

Logic Programs ◽

Conservative Extension ◽

First Order ◽

Modular Logic ◽

Traditional Programs ◽

The Common ◽

Conservative Extensions ◽

Answer Set ◽

Strong Relationships

AbstractModular logic programs provide a way of viewing logic programs as consisting of many independent, meaningful modules. This paper introduces first-order modular logic programs, which can capture the meaning of many answer set programs. We also introduce conservative extensions of such programs. This concept helps to identify strong relationships between modular programs as well as between traditional programs. We show how the notion of a conservative extension can be used to justify the common projection rewriting.

Download Full-text

Generalized Disjunctive Well-Founded Semantics for Logic Programs

10.21236/ada232064 ◽

1990 ◽

Cited By ~ 19

Author(s):

Chitta Baral ◽

Jorge Lobo ◽

Jack Minker

Keyword(s):

Logic Programs

Download Full-text

Logical Decision Problems and Complexity of Logic Programs

Fundamenta Informaticae ◽

10.3233/fi-1987-10102 ◽

1987 ◽

Vol 10 (1) ◽

pp. 1-33

Author(s):

Egon Börger ◽

Ulrich Löwen

Keyword(s):

Fixed Point ◽

Computational Complexity ◽

Decision Problem ◽

Decision Problems ◽

Complexity Classes ◽

Logic Programs ◽

Finite Structures ◽

Syntactic Restrictions

We survey and give new results on logical characterizations of complexity classes in terms of the computational complexity of decision problems of various classes of logical formulas. There are two main approaches to obtain such results: The first approach yields logical descriptions of complexity classes by semantic restrictions (to e.g. finite structures) together with syntactic enrichment of logic by new expressive means (like e.g. fixed point operators). The second approach characterizes complexity classes by (the decision problem of) classes of formulas determined by purely syntactic restrictions on the formation of formulas.

Download Full-text

Y-Logic: A Framework for Reasoning About Chameleonic Programs with Inconsistent Completions

Fundamenta Informaticae ◽

10.3233/fi-1990-13405 ◽

1990 ◽

Vol 13 (4) ◽

pp. 465-483

Author(s):

V.S. Subrahmanian

Keyword(s):

Classical Logic ◽

Logic Program ◽

Logic Programs ◽

Large Subset ◽

General Logic ◽

Traditional Sense

Large logic programs are normally designed by teams of individuals, each of whom designs a subprogram. While each of these subprograms may have consistent completions, the logic program obtained by taking the union of these subprograms may not. However, the resulting program still serves a useful purpose, for a (possibly) very large subset of it still has a consistent completion. We argue that “small” inconsistencies may cause a logic program to have no models (in the traditional sense), even though it still serves some useful purpose. A semantics is developed in this paper for general logic programs which ascribes a very reasonable meaning to general logic programs irrespective of whether they have consistent (in the classical logic sense) completions.

Download Full-text