Results 41 to 50 of about 170,706 (312)

A calculus of multiary sequent terms [PDF]

open access: yes, 2011
Multiary sequent terms were originally introduced as a tool for proving termination of permutative conversions in cut-free sequent calculus. This work develops the language of multiary sequent terms into a term calculus for the computational (Curry ...
Espírito Santo, José, Pinto, Luís F.
core   +1 more source

A derivation-loop method for temporal logic

open access: yesLietuvos Matematikos Rinkinys, 2019
Various types of calculi (Hilbert, Gentzen sequent, resolution calculi, tableaux) for propositional linear temporal logic (PLTL) have been considered in the literature.
Romas Alonderis, Haroldas Giedra
doaj   +1 more source

Efficient loop-check for multimodal KD45n logic

open access: yesLietuvos 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

Sequent Calculus Representations for Quantum Circuits [PDF]

open access: yesElectronic 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
doaj   +1 more source

The Focused Calculus of Structures [PDF]

open access: yes, 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
core   +1 more source

A sequent calculus for propositional temporal logic with time gaps

open access: yesLietuvos 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

The Hidden Structural Rules of the Discontinuous Lambek Calculus

open access: yes, 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]

open access: yes, 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

CONDITIONAL BELIEFS: FROM NEIGHBOURHOOD SEMANTICS TO SEQUENT CALCULUS

open access: yesThe Review of Symbolic Logic, 2018
The logic of Conditional Beliefs (CDL) has been introduced by Board, Baltag, and Smets to reason about knowledge and revisable beliefs in a multi-agent setting. In this article both the semantics and the proof theory for this logic are studied.
Marianna Girlando   +3 more
semanticscholar   +1 more source

Labeled Sequent Calculus for Orthologic

open access: yesBulletin of the Section of Logic, 2018
Orthologic (OL) is non-classical logic and has been studied as a part of quantumlogic. OL is based on an ortholattice and is also called minimal quantum logic. Sequent calculus is used as a tool for proof in logic and has been examinedfor several decades.
Tomoaki Kawano
semanticscholar   +1 more source

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