Results 11 to 20 of about 696,327 (268)
On logicality and natural logic [PDF]
Natural Language Semantics, 2021 AbstractIn this paper we focus on the logicality of language, i.e. the idea that the language system contains a deductive device to exclude analytic constructions. Puzzling evidence for the logicality of language comes from acceptable contradictions and tautologies. The standard response in the literature involves assuming that the language system only
Pistoia-Reda, Salvatore +2 more
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The Logic of Logic Programming
CoRR, 2023 Our position is that logic programming is not programming in the Horn clause sublogic of classical logic, but programming in a logic of (inductive) definitions. Thus, the similarity between prototypical Prolog programs (e.g., member, append, ...) and how inductive definitions are expressed in mathematical text, is not coincidental but essential.
Marc Denecker, David Scott Warren
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CoRR, 2022 We develop a classical propositional logic for reasoning about combinatory logic. We define its syntax, axiomatic system and semantics. The syntax and axiomatic system are presented based on classical propositional logic, with typed combinatory terms as basic propositions, along with the semantics based on applicative structures extended with special ...
Simona Kasterovic, Silvia Ghilezan
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The Dynamic Epistemic Logic for Actual Knowledge [PDF]
, 2020 The dynamic epistemic logic for actual knowledge models the phenomenon of actual knowledge change when new information is received. In contrast to the systems of dynamic epistemic logic which have been discussed in the past literature, our system is not ...
Wójcik, Arkadiusz
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A Variant of Material Connexive Logic [PDF]
, 2021 The relationship between formal (standard) logic and informal (common-sense, everyday) reasoning has always been a hot topic. In this paper, we propose another possible way to bring it up inspired by connexive logic.
Zaitsev, Dmitry, Belikov, Alexander
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A second order logic of existence [PDF]
, 1969 Publisher's, offprint versionA. N. Prior in [9] has suggested an approach towards a second order logic of existence where, following medieval logicians, we distinguish “between predicates (like ‘is red’, ‘is hard’, etc.) which entail existence, and ...
Cocchiarella, Nino
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Intuitionistic Logic is a Connexive Logic
Studia Logica, 2023 AbstractWe show that intuitionistic logic is deductively equivalent to Connexive Heyting Logic ($$\textrm{CHL}$$ CHL ), hereby introduced as an example of a strongly connexive logic with an intuitive semantics. We use the reverse algebraisation paradigm: $$\textrm{CHL}$$ CHL is ...
davide fazio +2 more
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The road to modern logic - an interpretation [PDF]
, 2001 This paper aims to outline an analysis and interpretation of the process that led to First-Order Logic and its consolidation as a core system of modern logic.
Ferreirós Domínguez, José Manuel
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Exploiting parallelism in coalgebraic logic programming [PDF]
, 2014 We present a parallel implementation of Coalgebraic Logic Programming (CoALP) in the programming language Go. CoALP was initially introduced to reflect coalgebraic semantics of logic programming, with coalgebraic derivation algorithm featuring both ...
Schmidt, Martin +5 more
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A post-style proof of completeness theorem for symmetric relatedness Logic S [PDF]
, 2018 One of the logic defined by Richard Epstein in a context of an analysis of subject matter relationship is Symmetric Relatedness Logic S. In the monograph [2] we can find some open problems concerning relatedness logic, a Post-style completeness theorem ...
Klonowski, Mateusz
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