We discuss the general scheme of building resolution calculi (also called the inverse method) originating from S. Maslov and G. Mints. A survey of resolution calculi for various nonclassical logic is presented, along with several common properties these calculi possess.

The Duration Calculus is an interval logic with an additional notion of duration. It became one of the main references of real-time system specification for which it was introduced. From a practical point of view an important challenge is to define automated proof procedures for this calculus. Since the propositional Duration Calculus is undecidable, in this paper we isolate a fragment and we d...

The toric residue is a map depending on n + 1 semi-ample divisors on a complete toric variety of dimension n . It appears in a variety of contexts such as sparse polynomial systems, mirror symmetry, and GKZ hypergeometric functions. In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the as...

It is shown that the extended quadratic residue code of length 20 over GF(7) is a unique self-dual [20, 10, 9] code C such that the lattice obtained from C by Construction A is isomorphic to the 20-dimensional unimodular lattice D 20, up to equivalence. This is done by converting the classification of such self-dual codes to that of skew-Hadamard matrices of order 20.

The largest minimum weight of a self-dual doubly-even binary (n, k, d) code is d = 4bn/24c+ 4. Of such codes with length divisible by 24, the Golay Code is the only (24, 12, 8) code, the Extended Quadratic Residue Code is the only known (48, 24, 12) code, and there is no known (72, 36, 16) code. One may partition the search for a (48, 24, 12) self-dual doubly-even code into 3 cases. A previous ...

In current study, the effects of Iranian rice cooking method (Kateh) on residue levels of 41 pesticides were investigated. The pesticides were selected according to Iranian National Standards Organization (INSO) regulations and covered 18 permitted and 23 banned pesticides belonging to different chemical classes such as organophosphate, triazole, and carbamate. A 250 g portion of rice sample wa...

The aim of this paper is to present the s-calculus which is a very simple-calculus with explicit substitutions and to prove its connuence on closed terms and the preservation of strong normalisation of-terms. We shall prove strong normalisation of the corresponding calculus of substitution by translating it into the-calculus ACCL91], and therefore the relation between both calculi will be made ...

In (Eder, 1991) the consolution method is introduced as a bridge between the idea of matrix methods (see (Bibel, 1987)) and resolution. Eder defines a consolution calculus together with a construction which yields a consolution refutation for every resolution refutation. This gives both a demonstration that resolution can be seen as a special strategy within consolution and a completeness proof...