Results 31 to 40 of about 15,159 (278)
Efficient loop-check for multimodal KD45n logic
Lietuvos Matematikos Rinkinys, 2021 We introduce sequent calculus for multi-modal logic KD45n which uses efficient loop-check. Efficiency of the used loop-check is obtained by using marked modal operator squarei which is used as an alternative to sequent with histories ([2,3]).We use ...
Adomas Birštunas
doaj +1 more source
Polarizing Double Negation Translations [PDF]
, 2013 Double-negation translations are used to encode and decode classical proofs in intuitionistic logic. We show that, in the cut-free fragment, we can simplify the translations and introduce fewer negations.
A. Kolmogorov +14 more
core +4 more sources
Sequent Calculus Representations for Quantum Circuits [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 When considering a sequent-style proof system for quantum programs, there are certain elements of quantum mechanics that we may wish to capture, such as phase, dynamics of unitary transformations, and measurement probabilities. Traditional quantum logics
Cameron Beebe
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The Hidden Structural Rules of the Discontinuous Lambek Calculus
, 2013 The sequent calculus sL for the Lambek calculus L (lambek 58) has no structural rules. Interestingly, sL is equivalent to a multimodal calculus mL, which consists of the nonassociative Lambek calculus with the structural rule of associativity. This paper
A. Avron +3 more
core +1 more source
The Epsilon Calculus and Herbrand Complexity [PDF]
, 2005 Hilbert's epsilon-calculus is based on an extension of the language of predicate logic by a term-forming operator $\epsilon_{x}$. Two fundamental results about the epsilon-calculus, the first and second epsilon theorem, play a role similar to that which ...
A. Blass +20 more
core +2 more sources
A sequent calculus for propositional temporal logic with time gaps
Lietuvos Matematikos Rinkinys, 2011 A sequent calculus with Kripke semantics internalization for a propositional temporal logic with time gaps is introduced. All rules of the calculus are context-free and height-preserving invertible. Structural rules are admissible.
Romas Alonderis
doaj +1 more source
Introduction to Cirquent Calculus and Abstract Resource Semantics
, 2005 This paper introduces a refinement of the sequent calculus approach called cirquent calculus. While in Gentzen-style proof trees sibling (or cousin, etc.) sequents are disjoint sequences of formulas, in cirquent calculus they are permitted to share ...
Japaridze, Giorgi
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The Focused Calculus of Structures [PDF]
, 2011 The focusing theorem identifies a complete class of sequent proofs that have no inessential non-deterministic choices and restrict the essential choices to a particular normal form. Focused proofs are therefore well suited both for the search and for the
Chaudhuri, Kaustuv, Guenot, Nicolas
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Comparing Sense and Denotation in Bilateralist Proof Systems for Proofs and Refutations
Bulletin of the Section of LogicIn this paper a framework to distinguish in a Fregean manner between sense and denotation of \(\lambda\)-term-annotated derivations will be applied to a bilateralist sequent calculus displaying two derivability relations, one for proving and one for ...
Sara Ayhan
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine +10 more
wiley +1 more source