We analyze the locus generation algorithm of the dynamic geometry software Cinderella, and examine how it uses complex detours to resolve singularities. We show that the algorithm terminates if its step width is small enough. In this case, the algorithm is independent of the orientation of its complex detours. We introduce a variation of the algorithm that generates entire real connected compon...

The FDI approach to model-based diagnosis is considered. We present a method for residual generation that combines integral and derivative causality, and also utilizes equation system solvers and theory of differential-algebraic equation systems. To achieve this, a framework for computation of variables from sets of dependent differential and/or algebraic equations is introduced. The proposed m...

This paper investigates how to apply the techniques on solving semi-algebraic systems to invariant generation of polynomial programs. By our approach, the generated invariants represented as a semialgebraic system are more expressive than those generated with the wellestablished approaches in the literature, which are normally represented as a conjunction of polynomial equations. We implement t...

The classical work on test case generation and formal methods focuses either on algebraic or model-based specifications. In this paper we propose an approach to derive test cases in the RAISE method whose specification language RSL combines the model-based and algebraic style. Our approach integrates the testing techniques of algebraic specifications and model-based specifications. In this test...

Abstract This paper is a tutorial on algebraic program analysis. It explains the foundations of analysis, its strengths and limitations, gives examples analyses for numerical invariant generation termination

In this paper, let $L$ be a completeresiduated lattice, and let {bf Set} denote the category of setsand mappings, $LF$-{bf Pos} denote the category of $LF$-posets and$LF$-monotone mappings, and $LF$-{bf CSLat}$(sqcup)$, $LF$-{bfCSLat}$(sqcap)$ denote the category of $LF$-completelattices and $LF$-join-preserving mappings and the category of$LF$-complete lattices and $LF$-meet-preserving mapping...

We discuss some methods for the enumeration, construction and random generation of isometry classes of block codes using methods from algebraic combinatorics.

In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a B...

this paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (sapfs). this method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. next, the amplitude of the reference mains currentis computed with ...