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Relevant Logic and Paraconsistency
This is an account of the approach to paraconsistency associated with relevant logic. The logic fde of first degree entailments is shown to arise naturally out of the deeper concerns of relevant logic. The relationship between relevant logic and resolution, and especially the disjunctive syllogism, is then examined.
John Slaney
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Epistemic Logics for Relevant Reasoners [PDF]
AbstractWe present a neighbourhood-style semantic framework for modal epistemic logic modelling agents who process information using relevant logic. The distinguishing feature of the framework in comparison to relevant modal logic is that the environment the agent is situated in is assumed to be a classical possible world.
Sedlár, Igor, Vigiani, Pietro
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A 2-set-up Routley-Meyer Semantics for the 4-valued Relevant Logic E4 [PDF]
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.
Recio, Marcos M. +9 more
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The logic of dynamical systems is relevant [PDF]
Lots of things are usefully modelled in science as dynamical systems: growing populations, flocking birds, engineering apparatus, cognitive agents, distant galaxies, Turing machines, neural networks.
Hornischer, Levin +3 more
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Belief-Logic Conflict Resolution in Syllogistic Reasoning: Inspection-Time Evidence for a Parallel-Process Model [PDF]
An experiment is reported examining dual-process models of belief bias in syllogistic reasoning using a problem complexity manipulation and an inspection-time method to monitor processing latencies for premises and conclusions.
Stupple, Edward J. N. +3 more
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SUBSTITUTION IN RELEVANT LOGICS [PDF]
AbstractThis essay discusses rules and semantic clauses relating to Substitution—Leibniz’s law in the conjunctive-implicational form $s\dot{ = }t \wedge A\left( s \right) \to A\left( t \right)$—as these are put forward in Priest’s books In Contradiction and An Introduction to Non-Classical Logic: From If to Is. The stated rules and clauses are shown to
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Applications of Linear Defeasible Logic: combining resource consumption and exceptions to energy management and business processes [PDF]
Linear Logic and Defeasible Logic have been adopted to formalise different features of knowledge representation: consumption of resources, and non monotonic reasoning in particular to represent exceptions.
Francesco Olivieri +3 more
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Two Infinite Sequences of Pre-Maximal Extensions of the Relevant Logic E [PDF]
The only maximal extension of the logic of relevant entailment E is the classical logic CL. A logic L ⊆ [E,CL] called pre-maximal if and only if L is a coatom in the interval [E,CL].
Typańska-Czajka, Lidia
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The ILLTP Library for Intuitionistic Linear Logic [PDF]
Benchmarking automated theorem proving (ATP) systems using standardized problem sets is a well-established method for measuring their performance. However, the availability of such libraries for non-classical logics is very limited.
Carlos Olarte +3 more
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C.I. Lewis, E.J. Nelson, and the Modern Origins of Connexive Logic
Modern logic owes an important debt to C.I. Lewis and his students. In addition to Lewis’s five modal logics, they are responsible for the creation (or discovery) of the logic of analytic implication and connexive logic.
Edwin Mares, Francesco Paoli
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