Graph-Based Proof Procedures for Horn Clauses by RAATZ

By RAATZ

Preliminaries.- A Semantics for the Hornlog System.- The Hornlog facts Procedure.- Soundness and Completeness effects I.- An Equational Extension.- The He � Refutation Method.- Soundness and Completeness effects II.- Appendix: Implementation concerns.

Show description

Read or Download Graph-Based Proof Procedures for Horn Clauses PDF

Similar programming languages books

Programming Language Pragmatics (3rd Edition)

Programming Language Pragmatics is the main complete programming language textbook to be had this present day. Taking the point of view that language layout and language implementation are tightly interconnected, and that neither could be absolutely understood in isolation, this significantly acclaimed and bestselling booklet has been completely up to date to hide the newest advancements in programming language layout.

The Foundations of Program Verification

The principles of software Verification moment variation Jacques Loeckx and Kurt Sieber Fachbereich informatik Universitat des Saariandes, Saarbrucken, Germany In collaboration with Ryan D. Stansifer division of machine technological know-how Cornell college, united states This revised version presents an exact mathematical history to numerous software verification thoughts.

Graph-Based Proof Procedures for Horn Clauses

Preliminaries. - A Semantics for the Hornlog procedure. - The Hornlog facts technique. - Soundness and Completeness effects I. - An Equational Extension. - The He � Refutation approach. - Soundness and Completeness effects II. - Appendix: Implementation concerns.

VHDL Design Representation and Synthesis

-- comprises a very transparent advent to based layout options and layout instruments. -- grasp the ASlC layout method and key implementation applied sciences: PLDs, FPGAs, gate arrays, and traditional cells. -- New! CD-ROM comprises the book's VHDL versions, version try out benches, and homework suggestions.

Additional info for Graph-Based Proof Procedures for Horn Clauses

Sample text

2) lingle-Iolution protocol: The system returns only one substitution. This assumption has no counterpart in Prolog. The idea is best understood as a simultaneous attempt to explore all possible trials towards unsatisfiability, and to return the first one that succeeds. We will comment more on this protocol after presenting the method. 2 Construction and Ezpansion of H -graphs 39 The two protocols are mutually exclusive. If an H -graph is initially expanded under one protocol, it cannot later at any state be expanded under the other.

And all descendants of 1. whose age is not equal to age(X). 3 This will be clear when we present the algorithm which performs this check on H-graphs in chapter 9. 4 42 THE HORNLOG PROOF PROCEDURE We are at last ready to define the general graph expansion step. 2 (General graph expansion step) Let G be an H-graph obtained at some stage of expansion, node X E G be chosen for expansion, and L = ((Ol,0't},(02,0'2), ... ,(Ok,0'0) be the list of all pairs such that a node X unifies with the head Aj of definite clause OJ with most general unifier O'j (variables have been renamed apart).

G'. Note that in the all-solutions protocol, merging of nodes only occurs within subgraphs whose nodes have the same age. Under the single-solution protocol, the only condition for merging nodes is that their labds are identical, and nodes having different ages can be merged. We mention the following procedural aspect of the method before presenting some examples. e. that no node waits forever for expansion. This corresponds to a breadth-first expansion strategy. To ensure fairness, the &tatu& field of each node is assigned one of the following four values: 1.

Download PDF sample

Rated 4.92 of 5 – based on 11 votes

Categories: Programming Languages