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17 006 (0,256s)

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Cut Elimination, Identity Elimination, and Interpolation in Super-Belnap Logics

We develop a Gentzen-style proof theory for super-Belnap logics (extensions of the four-valued Dunn–Belnap logic), expanding on an approach initiated by Pynko. We show that just like substructural logics may be understood p...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2017
  • Jimp
  • Link
Result

VERY TRUE ON CBA FUZZY LOGIC

true" connective on fuzzy logics. The aim of the paper is to show possibilities of using vt-operators on commutative basic algebras, especially we show that CBA logicCBA logic was introduced as a non-associative g...

BA - Obecná matematika

  • 2010
  • Jx
Result

An Algebraic View of Super-Belnap Logics

The Belnap–Dunn logic (also known as First Degree Entailment, or FDE) is a well-known and well-studied four-valued logic, but until recently little has been known about its extensions, i.e. stronger logics in the same langu...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2017
  • Jimp
  • Link
Result

A True Unprovable Formula of Fuzzy Predicate Logic

We construct a formula true in all models of the product fuzzy predicate logic over the standard product algebra on the unit real interval but unprovable in the product fuzzy logic (and hence having truth value less than 1 ...

BA - Obecná matematika

  • 2004
  • C
Result

Fuzzy Logic and Arithmetical Hierarchy III.

Fuzzy logic is understood as a logic with a comparative and truth-functional notion of truth. Arithmetical complexity of sets of tautologies (identically true sentences) and satisfiable sentences (sentences true in...

BA - Obecná matematika

  • 2001
  • Jx
Result

Free quantification in four-valued and fuzzy bilattice-valued logics

We introduce a variant of free logic (i.e., a logic admitting terms a suitable expansion of the Belnap-Dunn four-valued logic, we specify a dual-domain semantics for free logic, in which propositions containing non...

Pure mathematics

  • 2023
  • D
  • Link
Result

Basic Fuzzy Logic and BL-Algebras II.

Three new (easy) results about the computational complexity of basic propositional fuzzy logic BL are presented. An important formula of predicate logic is shown 1-true in all interpretations over saturated BL-chains but is...

BA - Obecná matematika

  • 2003
  • Jx
Result

Sublattices corresponding to very true operators in commutative basic algebras

We introduce the concept of very true operator on a commutative basic algebra in a way analogous to that for fuzzy logic. We prove that every such operator is fully determined by a certain relatively complete sublattice provided its...

BA - Obecná matematika

  • 2014
  • Jx
  • Link
Result

Has Quine really proved that the borderline between analytic and synthetic sentences is not exactly defined

As soon as we do logical analysis of natural language we can exactly distinguish analytic sentences from the synthetic (empirical) ones. Quine's criticism can be refuted because he has not accepted logical semantics and his...

AA - Filosofie a náboženství

  • 2008
  • D
Result

On Very True.

The fuzzy truth value 'very true' is formalized as a unary connective (hedge). A complete axiomatization is presented.

BA - Obecná matematika

  • 2001
  • Jx
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