Zero-One Laws and Almost Sure Valuations of First-Order Logic in Semiring Semantics [PDF]
Semiring semantics evaluates logical statements by values in some commutative semiring (K, +, ·, 0, 1). Random semiring interpretations, induced by a probability distribution on K, generalise random structures, and we investigate here the question of how
E. Grädel +3 more
semanticscholar +1 more source
Parameterized Complexity of Elimination Distance to First-Order Logic Properties [PDF]
The elimination distance to some target graph property ${\mathcal{P}}$ is a general graph modification parameter introduced by Bulian and Dawar. We initiate the study of elimination distances to graph properties expressible in first-order logic.
F. Fomin, P. Golovach, D. Thilikos
semanticscholar +1 more source
First-order Logic with Connectivity Operators [PDF]
First-order logic (FO) can express many algorithmic problems on graphs, such as the independent set and dominating set problem parameterized by solution size.
Nicole Schirrmacher +2 more
semanticscholar +1 more source
Constrained Expressions and their Derivatives [PDF]
This paper proposes an extension to classical regular expressions by the addition of two operators allowing the inclusion of boolean formulae from the zeroth order logic. These expressions are called constrained expressions.
Jean-Marc Champarnaud +2 more
semanticscholar +1 more source
Combinatorial Proofs and Decomposition Theorems for First-order Logic [PDF]
We uncover a close relationship between combinatorial and syntactic proofs for first-order logic (without equality). Whereas syntactic proofs are formalized in a deductive proof system based on inference rules, a combinatorial proof is a syntax-free ...
Dominic J. D. Hughes +2 more
semanticscholar +1 more source
THE FIRST-ORDER LOGIC OF CZF IS INTUITIONISTIC FIRST-ORDER LOGIC [PDF]
We prove that the first-order logic of CZF is intuitionistic first-order logic. To do so, we introduce a new model of transfinite computation (Set Register Machines) and combine the resulting notion of realisability with Beth semantics.
Robert Passmann
semanticscholar +1 more source
Positive First-order Logic on Words [PDF]
We study FO+, a fragment of first-order logic on finite words, where monadic predicates can only appear positively. We show that there is an FO-definable language that is monotone in monadic predicates but not definable in FO+.
Denis Kuperberg
semanticscholar +1 more source
Technical Note: Using Machine Learning to Predict Locomotor Behavior in Great Apes and Humans From Femur Metaphyseal Shape. [PDF]
ABSTRACT Objectives The morphology of the hominoid distal femoral metaphyseal surface has been demonstrated to reflect locomotor behavior throughout ontogeny. Here, we quantify metaphyseal surface morphology to evaluate its predictive relationship to locomotor behavioral modes in hominoids.
Stamos PA +3 more
europepmc +2 more sources
A Primer on Zeroth-Order Optimization in Signal Processing and Machine Learning: Principals, Recent Advances, and Applications [PDF]
Zeroth-order (ZO) optimization is a subset of gradient-free optimization that emerges in many signal processing and machine learning (ML) applications. It is used for solving optimization problems similarly to gradient-based methods. However, it does not
Sijia Liu +5 more
semanticscholar +1 more source
Stochastic Zeroth-Order Riemannian Derivative Estimation and Optimization
We consider stochastic zeroth-order optimization over Riemannian submanifolds embedded in Euclidean space, where the task is to solve Riemannian optimization problems with only noisy objective function evaluations.
Jiaxiang Li +2 more
semanticscholar +1 more source

