Type inference in the context of polymorphic recursion is notoriously difficult. The extensions to the traditional λ-calculus type inference algorithm by both Hindley-Milner and Mycroft are not capable of deriving the most general, i.e. principal types for programs with polymorphic recursion. Henglein has proposed a different algorithm, based on arrow graph reweriting, with an extended occurs c...

in this paper, the fuzzy system has been used for fault detection and diagnosis of a yeast fermentation bioreactor based on measurements corrupted by noise. in one case, parameters of membership functions are selected in a conventional manner. in another case, using certainty factors between normal and faulty conditions the optimal values of these parameters have been obtained through the genet...

The goal of this paper is to study the performance Thresholding Greedy Algorithm (TGA) when we increase size greedy sums by a constant factor λ⩾1. We introduce so-called λ-almost and λ-partially bases. case λ=1 gives us classical definitions almost (strong) partially show that basis if only it for all (some) However, each λ>1, there exists an unconditional but not 1-partially greedy. Furthermor...

For any ordinal Λ, we can define a polymodal logic GLPΛ, with a modality [ξ] for each ξ < Λ. These represent provability predicates of increasing strength. Although GLPΛ has no non-trivial Kripke frames, Ignatiev showed that indeed one can construct a universal Kripke frame for the variable-free fragment with natural number modalities, denoted GLPω. In this paper we show how to extend these con...

In this paper we will study the properties of the least extension n(Λ) of a given intermediate logic Λ by a strong negation. It is shown that the mapping from Λ to n(Λ) is a homomorphism of complete lattices, preserving and reflecting finite model property, frame–completeness, interpolation and decidability. A general characterization of those constructive logics is given which are of the form ...

Abella [Gac08] is an interactive theorem prover for reasoning about the properties of an object language that is described through structural operational semantics style rules. Abella is based on a two-level logic approach to specification and reasoning. One level is defined by a specification logic which supports a transparent encoding of structural operational semantics rules and also enables...

Term-generic logic (TGL) is a first-order logic parameterized with terms defined axiomatically (rather than constructively), by requiring them to only provide generic notions of free variable and substitution satisfying reasonable properties. TGL has a complete Gentzen system generalizing that of first-order logic. A certain fragment of TGL, called Horn, possesses a much simpler Gentzen system,...

Abella [3] is an interactive system for reasoning about aspects of object languages that have been formally presented through recursive rules based on syntactic structure. Abella utilizes a two-level logic approach to specification and reasoning. One level is defined by a specification logic which supports a transparent encoding of structural semantics rules and also enables their execution. Th...