Add to ORKGTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Joan Gispert Brasó[en] The truth-functional interpretation of classical implication gives rise to relevance paradoxes, since it doesn't adequately model our usual understanding of a valid implication, which assumes the antecedent is relevant to the truth of the consequent. This work gives an overview of the system $\mathbf{R}$ of relevance logic, which aims to avoid said paradoxes. We present the logic $\mathbf{R}$ with a Hilbert calculus and then prove the Variable-sharing Theorem. We also give an equivalent algebraic semantics for $\mathbf{R}$ and a semantics for its first-degree entailment fragment
AbstractClassical mathematical logic includes a lot of “implicational paradoxes” as its logic theore...
Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of ...
The system R, or more precisely the pure implicational fragment R›, is considered by the relevance l...
We examine the set of formula-to-formula valid inferences of Classical Logic, where the premise and ...
Relevance logic is ordinarily seen as a subsystem of classical logic under the translation that repl...
I discuss a collection of problems in relevance logic. The main problems discussed are: the decidabi...
AbstractWe present a logic with has both a simple semantics and a cut-free Gentzen-type system on on...
In this paper, a connexive extension of the Relevance logic R→ was presented. It is defined by means...
We mechanise two Hilbert systems, a Natural Deduction system, the Routley-Meyer semantics, and the C...
This paper gives an account of Anderson and Belnap's selection criteria for an adequate theory of en...
In this paper we present a logic that determines when implications in a classical logic context expr...
2nd edition. The theory of logical consequence is central in modern logic and its applications. Howe...
A propositional logic has the variable sharing property if φ →’ ψ is a theorem only if φ and ψ s...
Under embargo until: 2020-12-13Relevant logics have traditionally been viewed as paraconsistent. Thi...
The semantics I develop extend an approach to logic called preservationism. The preservationist appr...
AbstractClassical mathematical logic includes a lot of “implicational paradoxes” as its logic theore...
Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of ...
The system R, or more precisely the pure implicational fragment R›, is considered by the relevance l...
We examine the set of formula-to-formula valid inferences of Classical Logic, where the premise and ...
Relevance logic is ordinarily seen as a subsystem of classical logic under the translation that repl...
I discuss a collection of problems in relevance logic. The main problems discussed are: the decidabi...
AbstractWe present a logic with has both a simple semantics and a cut-free Gentzen-type system on on...
In this paper, a connexive extension of the Relevance logic R→ was presented. It is defined by means...
We mechanise two Hilbert systems, a Natural Deduction system, the Routley-Meyer semantics, and the C...
This paper gives an account of Anderson and Belnap's selection criteria for an adequate theory of en...
In this paper we present a logic that determines when implications in a classical logic context expr...
2nd edition. The theory of logical consequence is central in modern logic and its applications. Howe...
A propositional logic has the variable sharing property if φ →’ ψ is a theorem only if φ and ψ s...
Under embargo until: 2020-12-13Relevant logics have traditionally been viewed as paraconsistent. Thi...
The semantics I develop extend an approach to logic called preservationism. The preservationist appr...
AbstractClassical mathematical logic includes a lot of “implicational paradoxes” as its logic theore...
Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of ...
The system R, or more precisely the pure implicational fragment R›, is considered by the relevance l...