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Labelled Natural Deduction for Public Announcement Logic with Common Knowledge

open access: yesMathematics, 2020
Public announcement logic is a logic that studies epistemic updates. In this paper, we propose a sound and complete labelled natural deduction system for public announcement logic with the common knowledge operator (PAC). The completeness of the proposed
Muhammad Farhan Mohd Nasir   +2 more
doaj   +1 more source

Elementary Deduction Problem for Locally Stable Theories with Normal Forms [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2013
We present an algorithm to decide the intruder deduction problem (IDP) for a class of locally stable theories enriched with normal forms. Our result relies on a new and efficient algorithm to solve a restricted case of higher-order associative ...
Mauricio Ayala-Rincón   +2 more
doaj   +1 more source

Proof Theory of Finite-valued Logics [PDF]

open access: yes, 1993
The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux
Zach, Richard
core   +5 more sources

A Functional (Monadic) Second-Order Theory of Infinite Trees [PDF]

open access: yesLogical Methods in Computer Science, 2020
This paper presents a complete axiomatization of Monadic Second-Order Logic (MSO) over infinite trees. MSO on infinite trees is a rich system, and its decidability ("Rabin's Tree Theorem") is one of the most powerful known results concerning the ...
Anupam Das, Colin Riba
doaj   +1 more source

Labelled Natural Deduction for Substructural Logics [PDF]

open access: yes, 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   +1 more source

Natural Deduction System in Paraconsistent Setting: Proof Search for PCont

open access: yesJournal of Intelligent Systems, 2012
This paper continues a systematic approach to build natural deduction calculi and corresponding proof procedures for non-classical logics. Our attention is now paid to the framework of paraconsistent logics.
Bolotov Alexander, Shangin Vasilyi
doaj   +1 more source

Hyper Natural Deduction [PDF]

open access: yes, 2015
Paper introduces a Hyper Natural Deduction system as an extension of Gentzen's Natural Deduction system, by adding additional rules providing means for communication between derivations.
Arnold Beckmann
core   +1 more source

Revisiting the correspondence between cut-elimination and normalisation [PDF]

open access: yes, 2000
Cut-free proofs in Herbelin's sequent calculus are in 1-1 correspondence with normal natural deduction proofs. For this reason Herbelin's sequent calculus has been considered a privileged middle-point between L-systems and natural deduction.
Espírito Santo, José
core   +1 more source

Towards a canonical classical natural deduction system [PDF]

open access: yes, 2012
Preprint submitted to Elsevier, 6 July 2012This paper studies a new classical natural deduction system, presented as a typed calculus named lambda-mu- let.
Ariola   +33 more
core   +2 more sources

New Leakage Model for Naturally Fractured Formations Considering the Effects of Dual-System Hydro-Mechanical Coupling

open access: yesGeofluids, 2021
Within the existing leakage model accounting for drilling mud loss in naturally-fractured formations, the leak-off velocity is assigned to a fixed value or described by the Cater model, which does not consider the influence of dual-system hydromechanical
Hao Peng   +4 more
doaj   +1 more source

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