This paper discusses how the framework of Depth-Bounded Boolean Logics and their underlying informational approach can be extended to first-order logic, outlining an intuitive “informational” semantics for quantifiers, a corresponding hierarchy of approximations, and a proof-theoretical characterization via suitable natural deduction rules.
Extending Depth-Bounded Reasoning to First-Order Logic / M. D'Agostino, C. Larese, S. Modgil. - In: JOURNAL OF APPLIED LOGICS. - ISSN 2631-9829. - 12:6(2025), pp. 1415-1441.
Extending Depth-Bounded Reasoning to First-Order Logic
M. D'Agostino;C. Larese;
2025
Abstract
This paper discusses how the framework of Depth-Bounded Boolean Logics and their underlying informational approach can be extended to first-order logic, outlining an intuitive “informational” semantics for quantifiers, a corresponding hierarchy of approximations, and a proof-theoretical characterization via suitable natural deduction rules.File in questo prodotto:
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