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125 634 (0,201s)

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On Lukasiewicz's Four-Valued Modal Logic.

Lukasiewicz's four-valued modal logic is surveyed and analyzed, together with Lukasiewicz's motivations to develop it. A faithful interpretation of it in classical (non-modal) two-valued logic is presented...

BA - Obecná matematika

  • 2002
  • Jx
Result

Propositional Dynamic Logic with Belnapian Truth Values

We introduce BPDL, a combination of propositional dynamic logic PDL with the basic four-valued modal logic BK studied by Odintsov and Wansing ('Modal logics with Belnapian truth values', J. Appl. ...

BA - Obecná matematika

  • 2016
  • D
Result

Bitopology and four-valued logic

for the connectives of four-valued logic.Bilattices and d-frames are two different kinds of structures with a four-valued interpretation. Whereas d-frames were introduced with their topological semantics ...

IN - Informatika

  • 2016
  • D
  • Link
Result

EF4, EF4-M and EF4-Ł: A companion to BN4 and two modal four-valued systems without strong Łukasiewicz-type modal paradoxes

The logic BN4 was defined by RT Brady as a four-valued extension of Routley and Meyer’s basic logic B. The system EF4 is defined as a companion to BN4 to represent the four-valued system of (relev...

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

  • 2022
  • Jimp
  • Link
Result

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

We introduce a variant of free logic (i.e., a logic admitting terms with nonexistent referents) that accommodates truth-value gluts as well as gaps. Employing a suitable expansion of the Belnap-Dunn four-valued...

Pure mathematics

  • 2023
  • D
  • Link
Result

Two-Layered Logics for Paraconsistent Probabilities

probabilities that combine the Łukasiewicz [0,1]-valued logic with Baaz Delta operator and the Belnap–Dunn logic. The first logic formalises a ‘two-valued’ approach where each, the likelihoods of ϕ and ¬ϕ...

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

  • 2023
  • D
  • Link
Result

Łukasiewicz, determinism, and the four-valued system of logic

-valued and n-valued logic, he employed these systems in his arguments against determinism. On the contrary, Łukasiewicz preferred the four-valued system of logicŁukasiewicz is known primarily as ...

Philosophy, History and Philosophy of science and technology

  • 2021
  • Jimp
  • Link
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...

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

  • 2017
  • Jimp
  • Link
Result

Missing Values and Indeterminable Values in Fuzzy Relational Compositions

Four-valued logics were developed from three-valued logics aiming at creating tools dealing with missing values and indeterminable values at the same time in computer science. In this pap...

Applied mathematics

  • 2019
  • D
  • Link
Result

Probabilities with Gaps and Gluts

Belnap-Dunn logic (BD), sometimes also known as First Degree Entailment, is a four-valued propositional logic that complements the classical truth values of True and False with two non-classical truth ...

Philosophy, History and Philosophy of science and technology

  • 2021
  • Jimp
  • Link
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