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Now showing items 11-20 of 223

#### Elementary Proof of Strong Normalization for Atomic F

(Wydawnictwo Uniwersytetu Łódzkiego, 2016)

We give an elementary proof (in the sense that it is formalizable in Peano arithmetic) of the strong normalization of the atomic polymorphic calculus Fₐₜ (a predicative restriction of Girard’s system F).

#### Grzegorczyk Algebras Revisited

(Wydawnictwo Uniwersytetu Łódzkiego, 2018)

We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras.

#### A comparison of two systems of point-free topology

(Wydawnictwo Uniwersytetu Łódzkiego, 2018)

This is a spin-off paper to [3, 4] in which we carried out an extensive analysis of Andrzej Grzegorczyk’s point-free topology from [5]. In [1] Loredana Biacino and Giangiacomo Gerla presented an axiomatization which was ...

#### A post-style proof of completeness theorem for symmetric relatedness Logic S

(Wydawnictwo Uniwersytetu Łódzkiego, 2018)

One of the logic defined by Richard Epstein in a context of an analysis of subject matter relationship is Symmetric Relatedness Logic S. In the monograph [2] we can find some open problems concerning relatedness logic, a ...

#### Identity, equality, nameability and completeness. Part II

(Wydawnictwo Uniwersytetu Łódzkiego, 2018)

This article is a continuation of our promenade along the winding roads of identity, equality, nameability and completeness. We continue looking for a place where all these concepts converge. We assume that identity is a ...

#### B-almost distributive fuzzy lattice

(Wydawnictwo Uniwersytetu Łódzkiego, 2018)

The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also ...

#### On interpolation in next (kb.alt(2))

(Wydawnictwo Uniwersytetu Łódzkiego, 2018)

We prove that there is infinitely many tabular modal logics extending KB.Alt(2) which have interpolation.

#### Some Algebraic and Algorithmic Problems in Acoustocerebrography

(Wydawnictwo Uniwersytetu Łódzkiego, 2016)

Progress in the medical diagnostic is relentlessly pushing the measurement technology as well with its intertwined mathematical models and solutions. Mathematics has applications to many problems that are vital to human ...

#### A 2-set-up Routley-Meyer Semantics for the 4-valued Relevant Logic E4

(Wydawnictwo Uniwersytetu Łódzkiego, 2016)

The logic BN4 can be considered as the 4-valued logic of the relevant conditional and the logic E4, as the 4-valued logic of (relevant) entailment. The aim of this paper is to endow E4 with a 2-set-up Routley-Meyer semantics. ...

#### Categorical Abstract Logic: Hidden Multi-Sorted Logics as Multi-Term Institutions

(Wydawnictwo Uniwersytetu Łódzkiego, 2016)

Babenyshev and Martins proved that two hidden multi-sorted deductive systems are deductively equivalent if and only if there exists an isomorphism between their corresponding lattices of theories that commutes with ...