Results 1 to 10 of about 2,597 (173)
Resource-driven Substructural Defeasible Logic [PDF]
, 2018 Linear Logic and Defeasible Logic have been adopted to formalise different features relevant to agents: consumption of resources, and reasoning with exceptions.
DQ Pham +10 more
core +4 more sources
Labelled Natural Deduction for Substructural Logics [PDF]
Logic Journal of IGPL, 1999 In this paper a uniform methodology to perform Natural Deduction over the family of linear, relevance and intuitionistic logics is proposed. The methodology follows the Labelled Deductive Systems (LDS) discipline, where the deductive process manipulates ...
Broda, K, Finger, M, Russo, A
core +8 more sources
Kleene Algebras, Regular Languages and Substructural Logics [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We introduce the two substructural propositional logics KL, KL+ , which use disjunction, fusion and a unary, (quasi-)exponential connective. For both we prove strong completeness with respect to the interpretation in Kleene algebras and a variant thereof.
Christian Wurm
doaj +4 more sources
Stone-Type Dualities for Separation Logics [PDF]
Logical Methods in Computer Science, 2019 Stone-type duality theorems, which relate algebraic and relational/topological models, are important tools in logic because -- in addition to elegant abstraction -- they strengthen soundness and completeness to a categorical equivalence, yielding a ...
Simon Docherty, David Pym
doaj +5 more sources
Convolution Algebras: Relational Convolution, Generalised Modalities and Incidence Algebras [PDF]
Logical Methods in Computer Science, 2021 Convolution is a ubiquitous operation in mathematics and computing. The Kripke semantics for substructural and interval logics motivates its study for quantale-valued functions relative to ternary relations. The resulting notion of relational convolution
Brijesh Dongol +2 more
doaj +1 more source
Basic Core Fuzzy Logics and Algebraic Routley–Meyer-Style Semantics
Axioms, 2021 Recently, algebraic Routley–Meyer-style semantics was introduced for basic substructural logics. This paper extends it to fuzzy logics. First, we recall the basic substructural core fuzzy logic MIAL (Mianorm logic) and its axiomatic extensions, together ...
Eunsuk Yang
doaj +1 more source
Why a Logic is not only its Set of Valid Inferences
Análisis Filosófico, 2021 The main idea that we want to defend in this paper is that the question of what a logic is should be addressed differently when structural properties enter the game.
Eduardo A. Barrio, Federico Pailos
doaj +1 more source
Structural Rules in Natural Deduction with Alternatives
Bulletin of the Section of Logic, 2023 Natural deduction with alternatives extends Gentzen–Prawitz-style natural deduction with a single structural addition: negatively signed assumptions, called alternatives.
Greg Restall
doaj +1 more source
Outline of a Dialogical Theory of Truth
Crítica, 2023 In this essay I propose two theories of truth and show how they deal with semantic paradoxes. Their most salient feature is that they are based on a gametheoretic understanding of logic and meaning.
Miguel Álvarez Lisboa
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Command injection attacks, continuations, and the Lambek calculus [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 This paper shows connections between command injection attacks, continuations, and the Lambek calculus: certain command injections, such as the tautology attack on SQL, are shown to be a form of control effect that can be typed using the Lambek calculus,
Hayo Thielecke
doaj +1 more source