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Pure Sequent Calculi

ACM Transactions on Computational Logic, 2019
Analyticity, also known as the subformula property, typically guarantees decidability of derivability in propositional sequent calculi. To utilize this fact, two substantial gaps have to be addressed: (i) What makes a sequent calculus analytic?
Ori Lahav, Yoni Zohar
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Loop-Type Sequent Calculi for Temporal Logic

Journal of Automated Reasoning, 2020
Loop-type sequent calculi were first considered in [\textit{P. Wolper}, Log. Anal., Nouv. Sér. 28, 119--136 (1985; Zbl 0585.03008)]. observing that some global constraints (\textit{loops}) must be detected on branches to identify a tree as a proof.
Alonderis, R.   +3 more
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Sequent calculi for propositional nonmonotonic logics

ACM Transactions on Computational Logic, 2002
A uniform proof-theoretic reconstruction of the major nonmonotonic logics is introduced. It consists of analytic sequent calculi where the details of nonmonotonic assumption making are modelled by an axiomatic rejection method. Another distinctive feature of the calculi is the use of provability constraints that make reasoning largely independent of ...
BONATTI, PIERO ANDREA, OLIVETTI N.
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L-domains as locally continuous sequent calculi

Archive for Mathematical Logic
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Longchun Wang, Qingguo Li
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Sequent-Calculi for Metainferential Logics

Studia Logica, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bruno Da Ré, Federico Pailos
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Marginalia on Sequent Calculi

Studia Logica, 1999
In this paper, the relations between natural deductions of D. Prawitz and Gentzen-style deductions are investigated. The latter are also ascribed to \textit{S. Jaśkowski} [Stud. Log. No. 1, 5-32 (1934; Zbl 0011.09702)]. In particular the correspondence of normal deductions in the N-calculus and cutfree deductions in the G-calculus are examined ...
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Sequent calculi and abstract machines

ACM Transactions on Programming Languages and Systems, 2009
We propose a sequent calculus derived from the λ―μμ˜-calculus of Curien and Herbelin that is expressive enough to directly represent the fine details of program evaluation using typical abstract machines. Not only does the calculus easily encode the usual components of abstract machines such as environments and stacks, but it can also ...
Zena M. Ariola   +2 more
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A NOTE ON THE SEQUENT CALCULI

The Review of Symbolic Logic, 2020
AbstractWe show that the replacement rule of the sequent calculi ${\bf G3[mic]}^= $ in [8] can be replaced by the simpler rule in which one of the principal formulae is not repeated in the premiss.
FRANCO PARLAMENTO, FLAVIO PREVIALE
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Sequent Calculi for Global Modal Consequence Relations

Studia Logica, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Minghui, Chen, Jinsheng
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Sequent Calculi

1997
Abstract Let us think, in a general way, about what happens in a natural deduction proof. As a whole the proof is an array of formulae, which we say establishes some sequent (namely the sequent which has on its left all the formulae which are undischarged assumptions in the proof, and on its right the single formula proved at the bottom ...
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