[PDF] Top 20 Semantics of linear logic and higher-order model-checking

... TO HIGHER-ORDER MODEL-CHECKING 15 infinite trees, monadic second-order logic (MSO) is a logic of choice, as its model-checking is decidable over the ... Voir le document complet

... also of order at most ...maintained and the space needed is restricted to what is described in the previous ...instance of check as described above, with an added logarithmically sized counter ... Voir le document complet

... a model of probabilistic programming (in the narrow sense) that is not limited to discrete probabilities, is compatible with integration, interprets all the connectives of linear logic, ... Voir le document complet

... algebra and a final coalgebra, meaning that µζ F and νζ F have the same ...first model, based on coherence spaces, admits morphisms which are not total (for instance the interpretation of ι ⊸ ... Voir le document complet

... Differential Linear Logic · Categorical semantics · Topological vec- tor ...Denotational semantics interprets programs as functions which focuses not on how data from these programs are ... Voir le document complet

... ϕ of FO[2] describing the run of M over u, such that ϕ has a model of size at most N if and only if M accepts u in at most N ...positions of the tape of M as well as time ... Voir le document complet

... Acknowledgments. The authors would like to thank the referees for their helpful remarks and suggestions to improve the paper. This paper is supported by AN- DRU (Agence Nationale pour le D´eveloppement de la ... Voir le document complet

... Since we will be working with a graphical representation, we will adopt Barendregt’s convention, that bound variable names are globally unique identifiers, in the following form. In a sequent ⊢A, B we assume all ... Voir le document complet

... operator of common knowledge CK in the same way as the modal operator of individual ...[4] and add dynamics to our observation-based epistemic ...al.’s logic LRC which has two update ... Voir le document complet

... re iθ  ≤ M 2 r k (M 2 > 0) , holds on arg z = θ ∈ [0, 2π) \ (E ∪ E 1 ∪ E 2 ). Since E ∪ E 1 ∪ E 2 is a set with linear measure zero and by Lemma 2.4, we see that f (z) is a polynomial. This ... Voir le document complet

... atomic and define only the completion ...each of these edges, and producing one on all its outgoing ...one of its incoming edges. It completes by removing this token, and producing one ... Voir le document complet

... weakness of the PCS model is that it does not host “continuous data types” such as the real line equipped with its standard Borel Σ-algebra, required for taking into account modern probabilistic languages ... Voir le document complet

... operator of common knowledge CK in the same way as the modal operator of individual ...[4] and add dynamics to our observation-based epistemic ...al.’s logic LRC which has two update ... Voir le document complet

... C of colored graphs has bounded expansion if for every integer p, there exists a constant N ( C, p) such that for every G ∈ C, one can partition its vertex set in at most N (C, p) parts such that any i parts for i ... Voir le document complet

... stopping and restarting them is not an option due to financial costs, physical damages, or even threats to the life and safety of ...One of the major challenges in the design of ... Voir le document complet

... version of our proof nets which is extended with additives and ...ways of presenting proofs in ...calculus of structures, and third, via proof graphs and expansion trees, ... Voir le document complet

... ∞ and λ(f ) = ...functions of orders that are less than 1. The main purpose of this paper is to study the growth and the oscillation of solutions of the linear ... Voir le document complet

... [11] and references contained in ...equations of type f 00 + A(z)f 0 + B(z)f = F (z) , (2) where A(z), B(z) (6≡ 0) and F (z) (6≡ 0) are meromorphic functions of finite ...f of (2) ... Voir le document complet

... g(z) and d(z) are entire functions with λ (d) = σ(d) = λ(1/f) ≤ σ < σ(f) = σ(g) = +∞ and σ 2 (f) = σ 2 ...+∞ and a set E 8 of finite logarithmic measure such that the ... Voir le document complet

... Régis-Gianas and Pottier [ 33 ] describe a Hoare logic which cannot reason about side effects, but tolerates them, including mutable state, nondeterminism, and ...implementation of sets as ... Voir le document complet