Abstract not found

and clause chains, and introduce the ideas of ELS with left merging (LELS). We also presented the soundness and completeness proofs for ground LELS and use a fundamental theorem of logic (Herbrand’s theorem) and facts about the unification algorithm to show that LELS is, in fact, complete for first

. The main result is a normalisation theorem for this fundamental crossed complex, analogous to the usual theorem for simplicial abelian groups, but more complicated to set up and prove, because of the complications of the HAL and of the notion of homotopies for crossed complexes. We start with some

"The fundamental and well-known theorem for the existence of a price index that is invariant under change in level of living is that each dollar of income be spent in the same way by rich or poor, with all income elasticities exactly unity (the homothetic case). Otherwise, a price change

It is interesting to note that as practical limita-tions were removed, several fundamental or principal limitations were established. For instance, Carnot showed that there was a fun-damental limit to how much energy could be extracted from a heat engine. Later this result was generalized

We discuss an old theorem of Obrechko1 and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coe!cients, zeros and Wronskians of orthogonal polynomials from the perspective of Obrechko1’s theorem

of political forces that prefer an accessible constitution and fragmented governmental authority to the efficiencies that might result from a streamlined constitutional order. From the early Progressives to modern conservatives, Oklahomans have distrusted government and their Constitution reflects that fact

profession. Mathematics is one of the oldest cultural achievements of mankind, as early as literature, art and music. ”Mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, intelligible only in a social context ” [1]. In fact, mathematics has

’ of analysis enables a fuller understanding of the fine structure of proofs. The strategy is to reverse engineer classical results (cf. [19, sec.16.1]), eventually deriving a paraconsistent basis for analysis, and this paper is a step in that direction. A fundamental re-sult is the Heine-Borel theorem

-tuned tasks for the circuit level. Sampling theory, the gate to the digital world, is the key enabling this revolution, encompassing all aspects related to the conversion of continuous-time signals to discrete streams of numbers. The famous Shannon-Nyquist theorem has become a landmark: a mathematical