By Johann M. Schumann
The growing to be call for for top of the range, protection, and safeguard of software program platforms can simply be met via rigorous software of formal tools in the course of software program layout. instruments for formal equipment regularly, even though, don't supply a adequate point of automated processing. This publication methodically investigates the opportunity of first-order common sense automatic theorem provers for functions in software program engineering.
Illustrated via whole case reviews on verification of verbal exchange and defense protocols and logic-based part reuse, the ebook characterizes evidence initiatives to permit an evaluate of the provers services. precious options and extensions, e.g., for dealing with inductive and modal facts initiatives, or for controlling the prover, are lined intimately.
The booklet demonstrates that state of the art computerized theorem provers are in a position to instantly dealing with very important projects through the improvement of fine quality software program and it offers many useful ideas for expanding functional usability of the automatic theorem prover for winning applications.
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Additional info for Automated Theorem Proving in Software Engineering
And closeness to underlying logic (how strong is the proof algorithm correlated with the calculus). A general observation is that provers which are close to the underlying logic and which are not extensible tend to be more automatic than extensible, generic theorem provers. In this book, we focus on fully automatic theorem provers (ATPs) for first-order logic. ATPs usually accept formulas in first-order clausal normal form. This standardized form (each formula can be translated into this form, as will be described below) is easier to handle than arbitrary formulas.
Whereas universal quantifiers carry over to the clausal normal form, existential quantifiers must be removed. A formula VXl, ... ,Xn 3Y·:F is transformed into its Skolem normal form VX1, ... ,Xn·:F' by replacing all occurrences of Yin :F by f(XI, ... , Xn) with a new function symbol f. f is called a Skolem function. In the case of n = 0, we speak of a Skolem constant instead. 2. , 1992] seems to be the only exception. It can handle arbitrary FOL formulas. 30 3. Processing of Logic would be skolemized and written in SETHEO's clausal form notation as the following clause: L where = ;£ = cons(fi(L),h(L)) h and h <- .
1988]. , an air-bag controller [Reif, 1998], or the outer space aid for extravehicular activities SAFER [Kelly, 1997]). , electronic commerce). Here, many formal methods have been developed. Some of them provide considerable computer support and a high degree of automatic processing. Many such protocols have been studied and various errors have been detected. [Paulson, 1997a; Paulson, 1997b] uses the interactive theorem prover Isabelle [Paulson, 1994]; [Kessler and Wedel, 1994] uses a special-purpose PROLOG program, and [Craigen and Saaltink, 1996] uses ZEVES.