LREC= is an extension of frst-order logic with a logarithmic recursion operator. It was introduced by Grohe et al. and shown to capture the complexity class L over trees and interval graphs. It does not capture L in g...
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Probability theory can be studied synthetically as the computational effect embodied by a commutative monad. In the recently proposed Markov categories, one works with an abstraction of the Kleisli category and then d...
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the Eckmann-Hilton argument shows that any two monoid structures on the same set satisfying the interchange law are in fact the same operation, which is moreover commutative. When the monoids correspond to the vertica...
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this paper introduces the exponential substitution calculus (ESC), a new presentation of cut elimination for IMELL, based on proof terms and building on the idea that exponentials can be seen as explicit substitutions...
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We present Clocked Cubical Type theory, the frst type theory combining multi-clocked guarded recursion withthe features of Cubical Type theory. Guarded recursion is an abstract form of step-indexing, which can be use...
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the language of Algebraic Geometry combines two complementary and dependent levels of discourse: on the geometric side, schemes defne spaces of the same cohesive nature as manifolds;on the vectorial side, every scheme...
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We study concrete sheaf models for a call-by-value higher-order language with recursion. Our family of sheaf models is a generalization of many examples from the literature, such as models for probabilistic and differ...
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the regular languages with a neutral letter expressible in frstorder logic with one alternation are characterized. Specifcally, it is shown that if an arbitrary s2 formula defnes a regular language with a neutral lett...
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We introduce the novel machinery of smooth approximations, and apply it to confrm the CSP dichotomy conjecture for frst-order reducts of the random tournament, and to give new short proofs of the conjecture for variou...
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A timed network is a parallel composition of timed automata synchronizing on common actions. We develop a methodology that allows to use partial-order methods when solving the reachability problem for timed networks. ...
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