Results 11 to 20 of about 27,151 (281)
η-conversions of IPC implemented in atomic F [PDF]
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
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
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]
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
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
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]
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]
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
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
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

