Hilbert’s ε-calculus is based on an extension of the language of predicate logic by a term-forming operator εx. Two fundamental results about the ε-calculus, the first and second epsilon theorem, play a rôle similar to that which the cut-elimination theorem plays in sequent calculus. In particular, Herbrand’s Theorem is a consequence of the epsilon theorems. The paper investigates the epsilon t...

We show that the one can consider proof of the Gentzen'sLK as the continuation passing style(CPS) programs; and the cut-elimination procedure for LK as computation. To be more precise, we observe that Strongly Normalizable(SN) and Church-Rosser(CR) cut-elimination procedure for (intuitionistic decoration of) LKT and LKQ, as presented in Danos et al.(1993), precisely corresponds to call-by-name(...

In this thesis we first review the model theory of quantifier elimination and investigate the logical relations among various quantifier elimination tests. In particular we prove the equivalence of two quantifier elimination tests for countable theories. Next we give a procedure for eliminating quantifiers for the theory of real closed ordered fields with a predicate for the powers of two. This...

Many implementations of model elimination perform proof search by iteratively increasing a bound on the total size of the proof. We propose an optimized version of this search mode using a simple divide-and-conquer refinement. Optimized and unoptimized modes are compared, together with depth-bounded and best-first search, over the entire TPTP problem library. The optimized size-bounded mode see...

Proper selection of variables is necessary when dealing with large number of input dimensions in regression problems. In the paper, we investigate the behaviour of landscape that is formed when using Delta test as the optimization criterion. We show that simple and greedy Forward-backward selection procedure with multiple restarts gives optimal results for data sets with large number of samples...

Traditional distributed amplification techniques have allowed for high gain and bandwidth at the expense of low efficiency. The decreased efficiency is primarily due to the existence of an actively loaded artificial transmission line as the output, resulting in backward wave propagation. Using the same traditional input line distributed techniques to achieve high bandwidth, this research has ex...

In data mining problems, the high dimensionality of input features can affect performance process. this way, selection methods appear as a solution to problems encountered when analyzing databases with large dimensions. This article presents implementation Pearson’s linear correlation, ReliefF, Welch’s t-test and multilinear regression based algorithms forwards backward elimination direction fo...

This paper describes how to specify probability models for data analysis via a backward induction procedure. The new approach yields coherent, priorfree uncertainty assessment. The backward induction approach is first demonstrated on two familiar models — the Bernoulli distribution and the Gaussian distribution — to compare the resulting specifications to their standard counterparts arising as ...

We explored the extent to which prisoner sociodemographic variables (age, education, marital status, employment, and whether their parents were married or not) influenced offending in 64 randomly selected Brunei inmates, comprising both sexes. A quantitative field survey design ideal for the type of participants used in a prison context was employed to investigate the problem. Hierarchical mult...

in rabbits, especially in some races, limb movement disorder called splay legs, are mostly unilateral or bilateral in front or hind legs at an early age. the severity ranges from mild to severe in this case. in breeding colony of albino dutch laboratory rabbits, the splay leg disorder has been observed over the years permanently.within the scope of this research, 1.5-2.5% of 700-750 number of c...