Results 11 to 20 of about 27,151 (281)

η-conversions of IPC implemented in atomic F [PDF]

open access: yes, 2016
It is known that the β-conversions of the full intuitionistic propositional calculus (IPC) translate into βη-conversions of the atomic polymorphic calculus Fat.
Ferreira, Gilda
core   +1 more source

A labeled sequent calculus for propositional linear time logic

open access: yesLietuvos Matematikos Rinkinys, 2012
A labeled sequent calculus LSC for propositional linear discrete time logic PLTL is introduced. Its sub-calculus LSC−TL is proved to be complete for some class of PLTL sequents.
Romas Alonderis
doaj   +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

A Complete Axiomatisation for Quantifier-Free Separation Logic [PDF]

open access: yesLogical Methods in Computer Science, 2021
We present the first complete axiomatisation for quantifier-free separation logic. The logic is equipped with the standard concrete heaplet semantics and the proof system has no external feature such as nominals/labels.
Stéphane Demri   +2 more
doaj   +1 more source

Valuation Semantics for Intuitionic Propositional Calculus and some of its Subcalculi

open access: yesPrincipia: An International Journal of Epistemology, 2010
In this paper, we present valuation semantics for the Propositional Intuitionistic Calculus (also called Heyting Calculus) and three important subcalculi: the Implicative, the Positive and the Minimal Calculus (also known as Kolmogoroff or Johansson ...
Andréa Loparić
doaj   +3 more sources

Loop-free verification of termination of derivation for a fragment of dynamic logic

open access: yesLietuvos Matematikos Rinkinys, 2008
A fragment of a deterministic propositional dynamic logic (DPDL, in short) is considered The language of considered fragment contains propositional symbols, action constants, action operator (repetition) and logical symbols.
Regimantas Pliuškevičius
doaj   +1 more source

Command injection attacks, continuations, and the Lambek calculus [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2016
This paper shows connections between command injection attacks, continuations, and the Lambek calculus: certain command injections, such as the tautology attack on SQL, are shown to be a form of control effect that can be typed using the Lambek calculus,
Hayo Thielecke
doaj   +1 more source

Lukasiewicz logic and Riesz spaces [PDF]

open access: yes, 2013
We initiate a deep study of {\em Riesz MV-algebras} which are MV-algebras endowed with a scalar multiplication with scalars from $[0,1]$. Extending Mundici's equivalence between MV-algebras and $\ell$-groups, we prove that Riesz MV-algebras are ...
Di Nola, Antonio, Leustean, Ioana
core   +1 more source

A Neighbourhood Semantics for the Logic TK

open access: yesPrincipia: An International Journal of Epistemology, 2011
The logic TK was introduced as a propositional logic extending the classical propositional calculus with a new unary operator which interprets some conceptions of Tarski’s consequence operator. TK-algebras were introduced as models to TK. Thus, by using
Cezar A. Mortari   +1 more
doaj   +3 more sources

Encoding many-valued logic in {\lambda}-calculus

open access: yes, 2020
We extend the well-known Church encoding of two-valued Boolean Logic in $\lambda$-calculus to encodings of $n$-valued propositional logic (for $3\leq n\leq 5$) in well-chosen infinitary extensions in $\lambda$-calculus.
de Vries, Fer-Jan
core   +1 more source

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